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Gaze-Contingent Ocular Parallax
Rendering for Virtual Reality
Robert Konrad, Anastasios Angelopoulos, Gordon Wetzstein
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Ocular Parallax
Pictorial Depth Cues Non-pictorial Depth Cues
Shading Occlusion
Perspective Texturing
Motion Parallax Disparity
Retinal Blur Ocular Parallax
Pictorial Depth Cues Non-pictorial Depth Cues
Shading Occlusion
Perspective Texturing
Motion Parallax Disparity
Retinal Blur Ocular Parallax
Pictorial Depth Cues Non-pictorial Depth Cues
Shading Occlusion
Perspective Texturing
Motion Parallax Disparity
Retinal Blur Ocular Parallax
Hua et al., Opt. Express 2014
Matsuda et al., SIGGRAPH 2017
Lanman et al., SIGGRAPH Asia 2013
Padmanaban et al., PNAS 2017
Koulieris et al., SIGGRAPH 2017
Maimone et al., SIGGRAPH 2017
Pictorial Depth Cues Non-pictorial Depth Cues
Shading Occlusion
Perspective Texturing
Motion Parallax Disparity
Retinal Blur Ocular Parallax
Eye Model
Thick Lens Eye Model
Thick Lens Eye Model
F
0
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F<latexit sha1_base64="r7JDHSVi1a+aaoRJEtVdR3M4vT4=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUBPHYgv2ANpTNdtKu3WzC7kYoob/AiwdFvPqTvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewtr6xuVXcLu3s7u0flA+PWjpOFcMmi0WsOgHVKLjEpuFGYCdRSKNAYDsY38789hMqzWP5YCYJ+hEdSh5yRo2VGnf9csWtunOQVeLlpAI56v3yV28QszRCaZigWnc9NzF+RpXhTOC01Es1JpSN6RC7lkoaofaz+aFTcmaVAQljZUsaMld/T2Q00noSBbYzomakl72Z+J/XTU147WdcJqlByRaLwlQQE5PZ12TAFTIjJpZQpri9lbARVZQZm03JhuAtv7xKWhdVz616jctK7SaPowgncArn4MEV1OAe6tAEBgjP8ApvzqPz4rw7H4vWgpPPHMMfOJ8/mT2Mxg==</latexit><latexit sha1_base64="r7JDHSVi1a+aaoRJEtVdR3M4vT4=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUBPHYgv2ANpTNdtKu3WzC7kYoob/AiwdFvPqTvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewtr6xuVXcLu3s7u0flA+PWjpOFcMmi0WsOgHVKLjEpuFGYCdRSKNAYDsY38789hMqzWP5YCYJ+hEdSh5yRo2VGnf9csWtunOQVeLlpAI56v3yV28QszRCaZigWnc9NzF+RpXhTOC01Es1JpSN6RC7lkoaofaz+aFTcmaVAQljZUsaMld/T2Q00noSBbYzomakl72Z+J/XTU147WdcJqlByRaLwlQQE5PZ12TAFTIjJpZQpri9lbARVZQZm03JhuAtv7xKWhdVz616jctK7SaPowgncArn4MEV1OAe6tAEBgjP8ApvzqPz4rw7H4vWgpPPHMMfOJ8/mT2Mxg==</latexit><latexit sha1_base64="r7JDHSVi1a+aaoRJEtVdR3M4vT4=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUBPHYgv2ANpTNdtKu3WzC7kYoob/AiwdFvPqTvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewtr6xuVXcLu3s7u0flA+PWjpOFcMmi0WsOgHVKLjEpuFGYCdRSKNAYDsY38789hMqzWP5YCYJ+hEdSh5yRo2VGnf9csWtunOQVeLlpAI56v3yV28QszRCaZigWnc9NzF+RpXhTOC01Es1JpSN6RC7lkoaofaz+aFTcmaVAQljZUsaMld/T2Q00noSBbYzomakl72Z+J/XTU147WdcJqlByRaLwlQQE5PZ12TAFTIjJpZQpri9lbARVZQZm03JhuAtv7xKWhdVz616jctK7SaPowgncArn4MEV1OAe6tAEBgjP8ApvzqPz4rw7H4vWgpPPHMMfOJ8/mT2Mxg==</latexit><latexit sha1_base64="r7JDHSVi1a+aaoRJEtVdR3M4vT4=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUBPHYgv2ANpTNdtKu3WzC7kYoob/AiwdFvPqTvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewtr6xuVXcLu3s7u0flA+PWjpOFcMmi0WsOgHVKLjEpuFGYCdRSKNAYDsY38789hMqzWP5YCYJ+hEdSh5yRo2VGnf9csWtunOQVeLlpAI56v3yV28QszRCaZigWnc9NzF+RpXhTOC01Es1JpSN6RC7lkoaofaz+aFTcmaVAQljZUsaMld/T2Q00noSBbYzomakl72Z+J/XTU147WdcJqlByRaLwlQQE5PZ12TAFTIjJpZQpri9lbARVZQZm03JhuAtv7xKWhdVz616jctK7SaPowgncArn4MEV1OAe6tAEBgjP8ApvzqPz4rw7H4vWgpPPHMMfOJ8/mT2Mxg==</latexit>
: focal pointsF, F
0
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Thick Lens Eye Model
P
0
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F
0
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: focal pointsF, F
0
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P, P
0
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: principal points
Thick Lens Eye Model
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P, P
0
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: principal points
N, N
0
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: nodal points
Thick Lens Eye Model
N<latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit 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sha1_base64="h9GLNPhIlhJID1m/Fwiv2jkEGto=">AAAB3XicbZBLSwMxFIXv1FetVatbN8EiuCozbnQpuHElLdgHtEPJpHfa2ExmSO4IpfQXuHGhiH/Lnf/G9LHQ1gOBj3MScu+JMiUt+f63V9ja3tndK+6XDsqHR8eVk3LLprkR2BSpSk0n4haV1NgkSQo7mUGeRArb0fhunref0ViZ6keaZBgmfKhlLAUnZzUe+pWqX/MXYpsQrKAKK9X7la/eIBV5gpqE4tZ2Az+jcMoNSaFwVurlFjMuxnyIXYeaJ2jD6WLQGbtwzoDFqXFHE1u4v19MeWLtJInczYTTyK5nc/O/rJtTfBNOpc5yQi2WH8W5YpSy+dZsIA0KUhMHXBjpZmVixA0X5LopuRKC9ZU3oXVVC/xa0PChCGdwDpcQwDXcwj3UoQkCEF7gDd69J+/V+1jWVfBWvZ3CH3mfP5O5i38=</latexit><latexit sha1_base64="h9GLNPhIlhJID1m/Fwiv2jkEGto=">AAAB3XicbZBLSwMxFIXv1FetVatbN8EiuCozbnQpuHElLdgHtEPJpHfa2ExmSO4IpfQXuHGhiH/Lnf/G9LHQ1gOBj3MScu+JMiUt+f63V9ja3tndK+6XDsqHR8eVk3LLprkR2BSpSk0n4haV1NgkSQo7mUGeRArb0fhunref0ViZ6keaZBgmfKhlLAUnZzUe+pWqX/MXYpsQrKAKK9X7la/eIBV5gpqE4tZ2Az+jcMoNSaFwVurlFjMuxnyIXYeaJ2jD6WLQGbtwzoDFqXFHE1u4v19MeWLtJInczYTTyK5nc/O/rJtTfBNOpc5yQi2WH8W5YpSy+dZsIA0KUhMHXBjpZmVixA0X5LopuRKC9ZU3oXVVC/xa0PChCGdwDpcQwDXcwj3UoQkCEF7gDd69J+/V+1jWVfBWvZ3CH3mfP5O5i38=</latexit><latexit sha1_base64="DOLKDrEBvcyBfEhKgX1B2zUGXT4=">AAAB6HicbVA9SwNBEJ2LXzF+RS1tFoNgFe5sTCUBGytJwHxAcoS9zVyyZm/v2N0TwpFfYGOhiK0/yc5/4ya5QhMfDDzem2FmXpAIro3rfjuFjc2t7Z3ibmlv/+DwqHx80tZxqhi2WCxi1Q2oRsEltgw3AruJQhoFAjvB5Hbud55QaR7LBzNN0I/oSPKQM2qs1LwflCtu1V2ArBMvJxXI0RiUv/rDmKURSsME1brnuYnxM6oMZwJnpX6qMaFsQkfYs1TSCLWfLQ6dkQurDEkYK1vSkIX6eyKjkdbTKLCdETVjverNxf+8XmrCmp9xmaQGJVsuClNBTEzmX5MhV8iMmFpCmeL2VsLGVFFmbDYlG4K3+vI6aV9VPbfqNd1K/SaPowhncA6X4ME11OEOGtACBgjP8ApvzqPz4rw7H8vWgpPPnMIfOJ8/pB2Myg==</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit>
N
0
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N, N
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: nodal points
Thick Lens Eye Model
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N
0
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N, N
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: nodal points
Thick Lens Eye Model
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N
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N, N
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: nodal points
Thick Lens Eye Model
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7.69 mm
Thick Lens Eye Model
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7.69 mm
Relaxed
(focused far)
Accommodated
(focused near)
Gullstrand-1 7.68 8.22
Gullstrand-Emsley 7.69 8.19
Emsley-reduced 9.2 ---
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
Micro Parallax Gaze-Contingent Occlusion
Visual Acuity Falls off in the Periphery
Fovea Periphery
With Motion
Gaze-Contingent Ocular Parallax Rendering for Virtual Reality
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Is ocular parallax visible in VR?
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Is ocular parallax visible in VR?
Does ocular parallax aid in?
depth perception?
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Is ocular parallax visible in VR?
Does ocular parallax aid in?
depth perception?
Does ocular parallax increase
perceptual realism?
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Conventional Rendering
Ocular Parallax Rendering
Ocular Parallax Rendering
Eye tracking required
Ocular Parallax Rendering
Eye tracking required
Ocular Parallax Rendering
Eye tracking required
Standard Graphics Pipeline
v0
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Ocular Parallax Rendering
Eye tracking required
Standard Graphics Pipeline
Ocular Parallax Graphics Pipeline
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v0
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v0
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Ocular Parallax Rendering
Eye tracking required
Standard Graphics Pipeline
Ocular Parallax Graphics Pipeline
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v0
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Eye matrix
P0
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Ocular Parallax Rendering
Eye tracking required
Standard Graphics Pipeline
Ocular Parallax Graphics Pipeline
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VMv<latexit sha1_base64="9x3Kqp4KuiaWDeD52ZHcZrbPaC4=">AAAB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoCspuHEjVLAPaIeSSTNtaJIZk0yhDPMdblwo4taPceffmGlnoa0H7uVwzr3k5gQxZ9q47rdTWlvf2Nwqb1d2dvf2D6qHR20dJYrQFol4pLoB1pQzSVuGGU67saJYBJx2gslt7nemVGkWyUczi6kv8EiykBFsrOT3gzBt3+d9mmWDas2tu3OgVeIVpAYFmoPqV38YkURQaQjHWvc8NzZ+ipVhhNOs0k80jTGZ4BHtWSqxoNpP50dn6MwqQxRGypY0aK7+3kix0HomAjspsBnrZS8X//N6iQmv/ZTJODFUksVDYcKRiVCeABoyRYnhM0swUczeisgYK0yMzaliQ/CWv7xK2hd1z617D5e1xk0RRxlO4BTOwYMraMAdNKEFBJ7gGV7hzZk6L86787EYLTnFzjH8gfP5AxfXkkk=</latexit><latexit sha1_base64="9x3Kqp4KuiaWDeD52ZHcZrbPaC4=">AAAB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoCspuHEjVLAPaIeSSTNtaJIZk0yhDPMdblwo4taPceffmGlnoa0H7uVwzr3k5gQxZ9q47rdTWlvf2Nwqb1d2dvf2D6qHR20dJYrQFol4pLoB1pQzSVuGGU67saJYBJx2gslt7nemVGkWyUczi6kv8EiykBFsrOT3gzBt3+d9mmWDas2tu3OgVeIVpAYFmoPqV38YkURQaQjHWvc8NzZ+ipVhhNOs0k80jTGZ4BHtWSqxoNpP50dn6MwqQxRGypY0aK7+3kix0HomAjspsBnrZS8X//N6iQmv/ZTJODFUksVDYcKRiVCeABoyRYnhM0swUczeisgYK0yMzaliQ/CWv7xK2hd1z617D5e1xk0RRxlO4BTOwYMraMAdNKEFBJ7gGV7hzZk6L86787EYLTnFzjH8gfP5AxfXkkk=</latexit><latexit sha1_base64="9x3Kqp4KuiaWDeD52ZHcZrbPaC4=">AAAB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoCspuHEjVLAPaIeSSTNtaJIZk0yhDPMdblwo4taPceffmGlnoa0H7uVwzr3k5gQxZ9q47rdTWlvf2Nwqb1d2dvf2D6qHR20dJYrQFol4pLoB1pQzSVuGGU67saJYBJx2gslt7nemVGkWyUczi6kv8EiykBFsrOT3gzBt3+d9mmWDas2tu3OgVeIVpAYFmoPqV38YkURQaQjHWvc8NzZ+ipVhhNOs0k80jTGZ4BHtWSqxoNpP50dn6MwqQxRGypY0aK7+3kix0HomAjspsBnrZS8X//N6iQmv/ZTJODFUksVDYcKRiVCeABoyRYnhM0swUczeisgYK0yMzaliQ/CWv7xK2hd1z617D5e1xk0RRxlO4BTOwYMraMAdNKEFBJ7gGV7hzZk6L86787EYLTnFzjH8gfP5AxfXkkk=</latexit><latexit sha1_base64="9x3Kqp4KuiaWDeD52ZHcZrbPaC4=">AAAB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoCspuHEjVLAPaIeSSTNtaJIZk0yhDPMdblwo4taPceffmGlnoa0H7uVwzr3k5gQxZ9q47rdTWlvf2Nwqb1d2dvf2D6qHR20dJYrQFol4pLoB1pQzSVuGGU67saJYBJx2gslt7nemVGkWyUczi6kv8EiykBFsrOT3gzBt3+d9mmWDas2tu3OgVeIVpAYFmoPqV38YkURQaQjHWvc8NzZ+ipVhhNOs0k80jTGZ4BHtWSqxoNpP50dn6MwqQxRGypY0aK7+3kix0HomAjspsBnrZS8X//N6iQmv/ZTJODFUksVDYcKRiVCeABoyRYnhM0swUczeisgYK0yMzaliQ/CWv7xK2hd1z617D5e1xk0RRxlO4BTOwYMraMAdNKEFBJ7gGV7hzZk6L86787EYLTnFzjH8gfP5AxfXkkk=</latexit>
v0
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v0
= PVMv<latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit>
Modified projection matrix
Eye matrix
P0
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Ocular Parallax Rendering
Eye tracking required
Standard Graphics Pipeline
Ocular Parallax Graphics Pipeline
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v0
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v0
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Modified projection matrix
Eye matrix
Negligible computational
overhead!
Ocular Parallax Rendering
Ocular Parallax Disabled
Ocular Parallax Enabled
Is ocular parallax visible in VR?
Does ocular parallax aid in
depth perception?
Does ocular parallax increase
perceptual realism?
Fixated Center Fixated Left
Detection Threshold Experiment
Front
Surface
Back
Surface
Detection Threshold Experiment
Front
Surface
Back
Surface
Detection Threshold Experiment
Front
Surface
Back
Surface
Detection Threshold Experiment
1D
ProportionCorrect
Relative Offset in D
Psychometric Functions
Relative Offset (D)
Psychometric Functions
ProportionCorrect
0.25 D
0.25 D
0.25 D
0.25 D
Detection Threshold Experiment
1D
2D
3D
ProportionCorrect
Relative Offset in D
Psychometric Functions
Relative Offset (D)
Psychometric Functions
ProportionCorrect
Threshold Experiment Results
1 2 3
Absolute Distance in D
Detection Threshold
0.8
1
0.6
0.4
0.2
0.0
RelativeDistanceinD
Threshold Experiment Results
1 2 3
Absolute Distance in D
Detection Threshold
0.8
1
0.6
0.4
0.2
0.0
RelativeDistanceinD
Ocular Parallax : 0.36D
Threshold Experiment Results
1 2 3
Absolute Distance in D
Detection Threshold
0.8
1
0.6
0.4
0.2
0.0
RelativeDistanceinD
Ocular Parallax : 0.36D
[Ogle and Schwartz 1959]
Retinal Blur : 0.35D
Threshold Experiment Results
1 2 3
Absolute Distance in D
Detection Threshold
0.8
1
0.6
0.4
0.2
0.0
RelativeDistanceinD
RelativeOffsetinD
1 2 3
Relative Distance From 0D in D
Discrimination Threshold
0.8
1
0.6
0.4
0.2
0.0
Is ocular parallax visible in VR?
Does ocular parallax aid in
depth perception?
Does ocular parallax increase
perceptual realism?
Fixated Center Fixated Left
Ordinal Depth Experiment Stimulus
Conventional Ocular Parallax
Reversed
Ocular Parallax
Conv. Conv.OP OPRev. OP Rev. OP
ProportionCorrect
100
75
50
25
0
1D
Ordinal Depth Experiment Results
Conv. Conv.OP OPRev. OP Rev. OP
ProportionCorrect
100
75
50
25
0
1D
Ordinal Depth Experiment Results
Conv. Conv.OP OPRev. OP Rev. OP
ProportionCorrect
100
75
50
25
0
*** *** **
1D
Ordinal Depth Experiment Results
Conv. Conv.OP OPRev. OP Rev. OP
ProportionCorrect
100
75
50
25
0
*** *** **
1D
Ordinal Depth Experiment Results
Conv. Conv.OP OPRev. OP Rev. OP
ProportionCorrect
100
75
50
25
0
*** *** **
1D
Ordinal Depth Experiment Results
Ocular Parallax
Reversed
Ocular Parallax
Conv. Conv.OP OPRev. OP Rev. OP
ProportionCorrect
100
75
50
25
0
*** *** **
1D
Ordinal Depth Experiment Results
2D
Absolute Depth Experiment Stimulus
Absolute Depth Experiment Results
Is ocular parallax visible in VR?
Does ocular parallax aid in?
depth perception?
Does ocular parallax increase
perceptual realism?
Fixated Center Fixated Left
Perceptual Realism Study Stimulus
Perceptual Realism Study Stimulus
Right Eye
Right Eye
Perceptual Realism Study Stimulus
Ocular Parallax Increases Perceptual Realism
PercentMoreRealisticDepth
Reversed OP over
Conventional OP over
Reversed OPOP over
Conventional
100
50
0
Ocular Parallax Increases Perceptual Realism
PercentMoreRealisticDepth
Reversed OP over
Conventional OP over
Reversed OPOP over
Conventional
100
50
0
***
Ocular Parallax Increases Perceptual Realism
PercentMoreRealisticDepth
Reversed OP over
Conventional OP over
Reversed OPOP over
Conventional
100
50
0
*** ***
Ocular Parallax Increases Perceptual Realism
PercentMoreRealisticDepth
Reversed OP over
Conventional OP over
Reversed OPOP over
Conventional
100
50
0
*** ***
Is ocular parallax visible in VR?
Does ocular parallax aid in
depth perception?
Does ocular parallax increase
perceptual realism?
Yes!
Yes (ordinal depth)
No? (absolute depth)
Yes!
Gaze-Contingent VR Systems Are Here
Gaze-Contingent VR Systems Are Here
Depth of Field Rendering Foveated RenderingVarifocal Displays
SMIOculusOculus
Robert Konrad
stanford.edu/~rkkonrad/
Stanford Computational Imaging Lab
computationalimaging.org
Fixated Center Fixated Left
https://arxiv.org/abs/1906.09740
R. Konrad, A. Angelopoulos, G. Wetzstein, “Gaze-Contingent
Ocular Parallax Rendering for Virtual Reality”, in arXiv, 2019.

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Gaze-Contingent Ocular Parallax Rendering for Virtual Reality

  • 1. Gaze-Contingent Ocular Parallax Rendering for Virtual Reality Robert Konrad, Anastasios Angelopoulos, Gordon Wetzstein
  • 4. Pictorial Depth Cues Non-pictorial Depth Cues Shading Occlusion Perspective Texturing Motion Parallax Disparity Retinal Blur Ocular Parallax
  • 5. Pictorial Depth Cues Non-pictorial Depth Cues Shading Occlusion Perspective Texturing Motion Parallax Disparity Retinal Blur Ocular Parallax
  • 6. Pictorial Depth Cues Non-pictorial Depth Cues Shading Occlusion Perspective Texturing Motion Parallax Disparity Retinal Blur Ocular Parallax Hua et al., Opt. Express 2014 Matsuda et al., SIGGRAPH 2017 Lanman et al., SIGGRAPH Asia 2013 Padmanaban et al., PNAS 2017 Koulieris et al., SIGGRAPH 2017 Maimone et al., SIGGRAPH 2017
  • 7. Pictorial Depth Cues Non-pictorial Depth Cues Shading Occlusion Perspective Texturing Motion Parallax Disparity Retinal Blur Ocular Parallax
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  • 11. Thick Lens Eye Model P 0 <latexit sha1_base64="SaLU2TWs1tkf8ZgFATmX5esQwqo=">AAAB7HicbVBNS8NAEJ34WetX1aOXxSJ6KokIepKCF48VTFtoY9lsN+3SzSbsToQS+hu8eFDEqz/Im//GbZuDtj4YeLw3w8y8MJXCoOt+Oyura+sbm6Wt8vbO7t5+5eCwaZJMM+6zRCa6HVLDpVDcR4GSt1PNaRxK3gpHt1O/9cS1EYl6wHHKg5gOlIgEo2glv/GYn016lapbc2cgy8QrSBUKNHqVr24/YVnMFTJJjel4bopBTjUKJvmk3M0MTykb0QHvWKpozE2Qz46dkFOr9EmUaFsKyUz9PZHT2JhxHNrOmOLQLHpT8T+vk2F0HeRCpRlyxeaLokwSTMj0c9IXmjOUY0so08LeStiQasrQ5lO2IXiLLy+T5kXNc2ve/WW1flPEUYJjOIFz8OAK6nAHDfCBgYBneIU3RzkvzrvzMW9dcYqZI/gD5/MHgRmOdQ==</latexit><latexit 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  • 12. 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  • 13. 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sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit 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  • 14. Thick Lens Eye Model N<latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit 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  • 15. Thick Lens Eye Model N<latexit sha1_base64="xC4WQGpW4aYStRlrheUI+mglWFM=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUvHiSFuwHtKFstpN27WYTdjdCCf0FXjwo4tWf5M1/47bNQVsfDDzem2FmXpAIro3rfjuFtfWNza3idmlnd2//oHx41NJxqhg2WSxi1QmoRsElNg03AjuJQhoFAtvB+Hbmt59QaR7LBzNJ0I/oUPKQM2qs1Ljvlytu1Z2DrBIvJxXIUe+Xv3qDmKURSsME1brruYnxM6oMZwKnpV6qMaFsTIfYtVTSCLWfzQ+dkjOrDEgYK1vSkLn6eyKjkdaTKLCdETUjvezNxP+8bmrCaz/jMkkNSrZYFKaCmJjMviYDrpAZMbGEMsXtrYSNqKLM2GxKNgRv+eVV0rqoem7Va1xWajd5HEU4gVM4Bw+uoAZ3UIcmMEB4hld4cx6dF+fd+Vi0Fpx85hj+wPn8AaVdjM4=</latexit><latexit 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sha1_base64="TTbh67/pSrJ7wwXueBp/Nb100P8=">AAAB7HicbVBNS8NAEJ3Ur1q/qh69LBbRU0lE0JMUvHiSCqYttLFsttN26WYTdjdCCf0NXjwo4tUf5M1/47bNQVsfDDzem2FmXpgIro3rfjuFldW19Y3iZmlre2d3r7x/0NBxqhj6LBaxaoVUo+ASfcONwFaikEahwGY4upn6zSdUmsfywYwTDCI6kLzPGTVW8u8es9NJt1xxq+4MZJl4OalAjnq3/NXpxSyNUBomqNZtz01MkFFlOBM4KXVSjQllIzrAtqWSRqiDbHbshJxYpUf6sbIlDZmpvycyGmk9jkLbGVEz1IveVPzPa6emfxVkXCapQcnmi/qpICYm089JjytkRowtoUxxeythQ6ooMzafkg3BW3x5mTTOq55b9e4vKrXrPI4iHMExnIEHl1CDW6iDDww4PMMrvDnSeXHenY95a8HJZw7hD5zPH34JjnM=</latexit><latexit 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sha1_base64="icz1DT6aEf9qlPYRyHX6xBE0Oa4=">AAAB73icbVDLSgNBEOz1GeMr6tHLYBA9SNgVQU8S8OIpRDAPSNYwO5lNhszOrjO9QljyE148KOLV3/Hm3zh5HDSxoKGo6qa7K0ikMOi6387S8srq2npuI7+5tb2zW9jbr5s41YzXWCxj3Qyo4VIoXkOBkjcTzWkUSN4IBjdjv/HEtRGxusdhwv2I9pQIBaNopWbljFQespNRp1B0S+4EZJF4M1KEGaqdwle7G7M04gqZpMa0PDdBP6MaBZN8lG+nhieUDWiPtyxVNOLGzyb3jsixVbokjLUthWSi/p7IaGTMMApsZ0Sxb+a9sfif10oxvPIzoZIUuWLTRWEqCcZk/DzpCs0ZyqEllGlhbyWsTzVlaCPK2xC8+ZcXSf285Lkl7+6iWL6exZGDQziCU/DgEspwC1WoAQMJz/AKb86j8+K8Ox/T1iVnNnMAf+B8/gDaFI8r</latexit><latexit 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  • 16. Thick Lens Eye Model C<latexit sha1_base64="2fSk2+SINBePMeF96QdrqgCKgZU=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0JMUevHYgv2ANpTNdtKu3WzC7kYoob/AiwdFvPqTvPlv3LY5aOuDgcd7M8zMCxLBtXHdb6ewsbm1vVPcLe3tHxwelY9P2jpOFcMWi0WsugHVKLjEluFGYDdRSKNAYCeY1Od+5wmV5rF8MNME/YiOJA85o8ZKzfqgXHGr7gJknXg5qUCOxqD81R/GLI1QGiao1j3PTYyfUWU4Ezgr9VONCWUTOsKepZJGqP1sceiMXFhlSMJY2ZKGLNTfExmNtJ5Gge2MqBnrVW8u/uf1UhPe+hmXSWpQsuWiMBXExGT+NRlyhcyIqSWUKW5vJWxMFWXGZlOyIXirL6+T9lXVc6te87pSu8vjKMIZnMMleHADNbiHBrSAAcIzvMKb8+i8OO/Ox7K14OQzp/AHzucPlLGMww==</latexit><latexit 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  • 17. 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  • 20. Visual Acuity Falls off in the Periphery Fovea Periphery With Motion
  • 24. Is ocular parallax visible in VR? 20/100 20/200 20/70 20/50 20/40 20/30 20/25 20/20
  • 25. Is ocular parallax visible in VR? Does ocular parallax aid in? depth perception? 20/100 20/200 20/70 20/50 20/40 20/30 20/25 20/20
  • 26. Is ocular parallax visible in VR? Does ocular parallax aid in? depth perception? Does ocular parallax increase perceptual realism? 20/100 20/200 20/70 20/50 20/40 20/30 20/25 20/20
  • 29. Ocular Parallax Rendering Eye tracking required
  • 30. Ocular Parallax Rendering Eye tracking required
  • 31. Ocular Parallax Rendering Eye tracking required Standard Graphics Pipeline v0 = PVMv<latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit>
  • 32. Ocular Parallax Rendering Eye tracking required Standard Graphics Pipeline Ocular Parallax Graphics Pipeline VMv<latexit sha1_base64="9x3Kqp4KuiaWDeD52ZHcZrbPaC4=">AAAB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoCspuHEjVLAPaIeSSTNtaJIZk0yhDPMdblwo4taPceffmGlnoa0H7uVwzr3k5gQxZ9q47rdTWlvf2Nwqb1d2dvf2D6qHR20dJYrQFol4pLoB1pQzSVuGGU67saJYBJx2gslt7nemVGkWyUczi6kv8EiykBFsrOT3gzBt3+d9mmWDas2tu3OgVeIVpAYFmoPqV38YkURQaQjHWvc8NzZ+ipVhhNOs0k80jTGZ4BHtWSqxoNpP50dn6MwqQxRGypY0aK7+3kix0HomAjspsBnrZS8X//N6iQmv/ZTJODFUksVDYcKRiVCeABoyRYnhM0swUczeisgYK0yMzaliQ/CWv7xK2hd1z617D5e1xk0RRxlO4BTOwYMraMAdNKEFBJ7gGV7hzZk6L86787EYLTnFzjH8gfP5AxfXkkk=</latexit><latexit 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  • 33. Ocular Parallax Rendering Eye tracking required Standard Graphics Pipeline Ocular Parallax Graphics Pipeline E<latexit sha1_base64="0GFDdJi/IDouylVa3Z82/ONnaso=">AAAB7XicbVDLSgNBEOz1GeMr6tHLYBA8hV0R9CQBETxGMA9IQpid9CZjZmeWmVkhLPkHLx4U8er/ePNvnCR70MSChqKqm+6uMBHcWN//9lZW19Y3Ngtbxe2d3b390sFhw6hUM6wzJZRuhdSg4BLrlluBrUQjjUOBzXB0M/WbT6gNV/LBjhPsxnQgecQZtU5qdMIou530SmW/4s9AlkmQkzLkqPVKX52+YmmM0jJBjWkHfmK7GdWWM4GTYic1mFA2ogNsOyppjKabza6dkFOn9EmktCtpyUz9PZHR2JhxHLrOmNqhWfSm4n9eO7XRVTfjMkktSjZfFKWCWEWmr5M+18isGDtCmebuVsKGVFNmXUBFF0Kw+PIyaZxXAr8S3F+Uq9d5HAU4hhM4gwAuoQp3UIM6MHiEZ3iFN095L9679zFvXfHymSP4A+/zB4iujxM=</latexit><latexit 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sha1_base64="TSF1GStHDkWxglBIIcLyzTWUzH4=">AAAB+nicbVBNS8NAEN34WetXqkcvi0XwVBIR9KIUvHisYD+giWWznbRLd5Owu6mUmJ/ixYMiXv0l3vw3btsctPXBwOO9GWbmBQlnSjvOt7Wyura+sVnaKm/v7O7t25WDlopTSaFJYx7LTkAUcBZBUzPNoZNIICLg0A5GN1O/PQapWBzd60kCviCDiIWMEm2knl3xgjAbP2ReIpmAHOdXPbvq1JwZ8DJxC1JFBRo9+8vrxzQVEGnKiVJd10m0nxGpGeWQl71UQULoiAyga2hEBCg/m52e4xOj9HEYS1ORxjP190RGhFITEZhOQfRQLXpT8T+vm+rw0s9YlKQaIjpfFKYc6xhPc8B9JoFqPjGEUMnMrZgOiSRUm7TKJgR38eVl0jqruU7NvTuv1q+LOEroCB2jU+SiC1RHt6iBmoiiR/SMXtGb9WS9WO/Wx7x1xSpmDtEfWJ8/Zu2UDw==</latexit><latexit 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sha1_base64="TSF1GStHDkWxglBIIcLyzTWUzH4=">AAAB+nicbVBNS8NAEN34WetXqkcvi0XwVBIR9KIUvHisYD+giWWznbRLd5Owu6mUmJ/ixYMiXv0l3vw3btsctPXBwOO9GWbmBQlnSjvOt7Wyura+sVnaKm/v7O7t25WDlopTSaFJYx7LTkAUcBZBUzPNoZNIICLg0A5GN1O/PQapWBzd60kCviCDiIWMEm2knl3xgjAbP2ReIpmAHOdXPbvq1JwZ8DJxC1JFBRo9+8vrxzQVEGnKiVJd10m0nxGpGeWQl71UQULoiAyga2hEBCg/m52e4xOj9HEYS1ORxjP190RGhFITEZhOQfRQLXpT8T+vm+rw0s9YlKQaIjpfFKYc6xhPc8B9JoFqPjGEUMnMrZgOiSRUm7TKJgR38eVl0jqruU7NvTuv1q+LOEroCB2jU+SiC1RHt6iBmoiiR/SMXtGb9WS9WO/Wx7x1xSpmDtEfWJ8/Zu2UDw==</latexit><latexit sha1_base64="TSF1GStHDkWxglBIIcLyzTWUzH4=">AAAB+nicbVBNS8NAEN34WetXqkcvi0XwVBIR9KIUvHisYD+giWWznbRLd5Owu6mUmJ/ixYMiXv0l3vw3btsctPXBwOO9GWbmBQlnSjvOt7Wyura+sVnaKm/v7O7t25WDlopTSaFJYx7LTkAUcBZBUzPNoZNIICLg0A5GN1O/PQapWBzd60kCviCDiIWMEm2knl3xgjAbP2ReIpmAHOdXPbvq1JwZ8DJxC1JFBRo9+8vrxzQVEGnKiVJd10m0nxGpGeWQl71UQULoiAyga2hEBCg/m52e4xOj9HEYS1ORxjP190RGhFITEZhOQfRQLXpT8T+vm+rw0s9YlKQaIjpfFKYc6xhPc8B9JoFqPjGEUMnMrZgOiSRUm7TKJgR38eVl0jqruU7NvTuv1q+LOEroCB2jU+SiC1RHt6iBmoiiR/SMXtGb9WS9WO/Wx7x1xSpmDtEfWJ8/Zu2UDw==</latexit> v0 = PVMv<latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit 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sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit 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  • 34. P0 <latexit sha1_base64="/g+JHpRa/xdS5GCFTrX4tt5wMos=">AAAB+HicbVBNS8NAEN3Ur1o/GvXoZbEInkoigp6k4MVjBfsBbSyb7aRdursJuxuhhvwSLx4U8epP8ea/cdvmoK0PBh7vzTAzL0w408bzvp3S2vrG5lZ5u7Kzu7dfdQ8O2zpOFYUWjXmsuiHRwJmElmGGQzdRQETIoRNObmZ+5xGUZrG8N9MEAkFGkkWMEmOlgVvth1HWfMj6iWIC8nzg1ry6NwdeJX5BaqhAc+B+9YcxTQVIQznRuud7iQkyogyjHPJKP9WQEDohI+hZKokAHWTzw3N8apUhjmJlSxo8V39PZERoPRWh7RTEjPWyNxP/83qpia6CjMkkNSDpYlGUcmxiPEsBD5kCavjUEkIVs7diOiaKUGOzqtgQ/OWXV0n7vO57df/uota4LuIoo2N0gs6Qjy5RA92iJmohilL0jF7Rm/PkvDjvzseiteQUM0foD5zPH0gRk3g=</latexit><latexit 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sha1_base64="0GFDdJi/IDouylVa3Z82/ONnaso=">AAAB7XicbVDLSgNBEOz1GeMr6tHLYBA8hV0R9CQBETxGMA9IQpid9CZjZmeWmVkhLPkHLx4U8er/ePNvnCR70MSChqKqm+6uMBHcWN//9lZW19Y3Ngtbxe2d3b390sFhw6hUM6wzJZRuhdSg4BLrlluBrUQjjUOBzXB0M/WbT6gNV/LBjhPsxnQgecQZtU5qdMIou530SmW/4s9AlkmQkzLkqPVKX52+YmmM0jJBjWkHfmK7GdWWM4GTYic1mFA2ogNsOyppjKabza6dkFOn9EmktCtpyUz9PZHR2JhxHLrOmNqhWfSm4n9eO7XRVTfjMkktSjZfFKWCWEWmr5M+18isGDtCmebuVsKGVFNmXUBFF0Kw+PIyaZxXAr8S3F+Uq9d5HAU4hhM4gwAuoQp3UIM6MHiEZ3iFN095L9679zFvXfHymSP4A+/zB4iujxM=</latexit> VMv<latexit sha1_base64="9x3Kqp4KuiaWDeD52ZHcZrbPaC4=">AAAB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoCspuHEjVLAPaIeSSTNtaJIZk0yhDPMdblwo4taPceffmGlnoa0H7uVwzr3k5gQxZ9q47rdTWlvf2Nwqb1d2dvf2D6qHR20dJYrQFol4pLoB1pQzSVuGGU67saJYBJx2gslt7nemVGkWyUczi6kv8EiykBFsrOT3gzBt3+d9mmWDas2tu3OgVeIVpAYFmoPqV38YkURQaQjHWvc8NzZ+ipVhhNOs0k80jTGZ4BHtWSqxoNpP50dn6MwqQxRGypY0aK7+3kix0HomAjspsBnrZS8X//N6iQmv/ZTJODFUksVDYcKRiVCeABoyRYnhM0swUczeisgYK0yMzaliQ/CWv7xK2hd1z617D5e1xk0RRxlO4BTOwYMraMAdNKEFBJ7gGV7hzZk6L86787EYLTnFzjH8gfP5AxfXkkk=</latexit><latexit sha1_base64="9x3Kqp4KuiaWDeD52ZHcZrbPaC4=">AAAB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoCspuHEjVLAPaIeSSTNtaJIZk0yhDPMdblwo4taPceffmGlnoa0H7uVwzr3k5gQxZ9q47rdTWlvf2Nwqb1d2dvf2D6qHR20dJYrQFol4pLoB1pQzSVuGGU67saJYBJx2gslt7nemVGkWyUczi6kv8EiykBFsrOT3gzBt3+d9mmWDas2tu3OgVeIVpAYFmoPqV38YkURQaQjHWvc8NzZ+ipVhhNOs0k80jTGZ4BHtWSqxoNpP50dn6MwqQxRGypY0aK7+3kix0HomAjspsBnrZS8X//N6iQmv/ZTJODFUksVDYcKRiVCeABoyRYnhM0swUczeisgYK0yMzaliQ/CWv7xK2hd1z617D5e1xk0RRxlO4BTOwYMraMAdNKEFBJ7gGV7hzZk6L86787EYLTnFzjH8gfP5AxfXkkk=</latexit><latexit sha1_base64="9x3Kqp4KuiaWDeD52ZHcZrbPaC4=">AAAB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoCspuHEjVLAPaIeSSTNtaJIZk0yhDPMdblwo4taPceffmGlnoa0H7uVwzr3k5gQxZ9q47rdTWlvf2Nwqb1d2dvf2D6qHR20dJYrQFol4pLoB1pQzSVuGGU67saJYBJx2gslt7nemVGkWyUczi6kv8EiykBFsrOT3gzBt3+d9mmWDas2tu3OgVeIVpAYFmoPqV38YkURQaQjHWvc8NzZ+ipVhhNOs0k80jTGZ4BHtWSqxoNpP50dn6MwqQxRGypY0aK7+3kix0HomAjspsBnrZS8X//N6iQmv/ZTJODFUksVDYcKRiVCeABoyRYnhM0swUczeisgYK0yMzaliQ/CWv7xK2hd1z617D5e1xk0RRxlO4BTOwYMraMAdNKEFBJ7gGV7hzZk6L86787EYLTnFzjH8gfP5AxfXkkk=</latexit><latexit sha1_base64="9x3Kqp4KuiaWDeD52ZHcZrbPaC4=">AAAB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoCspuHEjVLAPaIeSSTNtaJIZk0yhDPMdblwo4taPceffmGlnoa0H7uVwzr3k5gQxZ9q47rdTWlvf2Nwqb1d2dvf2D6qHR20dJYrQFol4pLoB1pQzSVuGGU67saJYBJx2gslt7nemVGkWyUczi6kv8EiykBFsrOT3gzBt3+d9mmWDas2tu3OgVeIVpAYFmoPqV38YkURQaQjHWvc8NzZ+ipVhhNOs0k80jTGZ4BHtWSqxoNpP50dn6MwqQxRGypY0aK7+3kix0HomAjspsBnrZS8X//N6iQmv/ZTJODFUksVDYcKRiVCeABoyRYnhM0swUczeisgYK0yMzaliQ/CWv7xK2hd1z617D5e1xk0RRxlO4BTOwYMraMAdNKEFBJ7gGV7hzZk6L86787EYLTnFzjH8gfP5AxfXkkk=</latexit> v0 =<latexit sha1_base64="TSF1GStHDkWxglBIIcLyzTWUzH4=">AAAB+nicbVBNS8NAEN34WetXqkcvi0XwVBIR9KIUvHisYD+giWWznbRLd5Owu6mUmJ/ixYMiXv0l3vw3btsctPXBwOO9GWbmBQlnSjvOt7Wyura+sVnaKm/v7O7t25WDlopTSaFJYx7LTkAUcBZBUzPNoZNIICLg0A5GN1O/PQapWBzd60kCviCDiIWMEm2knl3xgjAbP2ReIpmAHOdXPbvq1JwZ8DJxC1JFBRo9+8vrxzQVEGnKiVJd10m0nxGpGeWQl71UQULoiAyga2hEBCg/m52e4xOj9HEYS1ORxjP190RGhFITEZhOQfRQLXpT8T+vm+rw0s9YlKQaIjpfFKYc6xhPc8B9JoFqPjGEUMnMrZgOiSRUm7TKJgR38eVl0jqruU7NvTuv1q+LOEroCB2jU+SiC1RHt6iBmoiiR/SMXtGb9WS9WO/Wx7x1xSpmDtEfWJ8/Zu2UDw==</latexit><latexit sha1_base64="TSF1GStHDkWxglBIIcLyzTWUzH4=">AAAB+nicbVBNS8NAEN34WetXqkcvi0XwVBIR9KIUvHisYD+giWWznbRLd5Owu6mUmJ/ixYMiXv0l3vw3btsctPXBwOO9GWbmBQlnSjvOt7Wyura+sVnaKm/v7O7t25WDlopTSaFJYx7LTkAUcBZBUzPNoZNIICLg0A5GN1O/PQapWBzd60kCviCDiIWMEm2knl3xgjAbP2ReIpmAHOdXPbvq1JwZ8DJxC1JFBRo9+8vrxzQVEGnKiVJd10m0nxGpGeWQl71UQULoiAyga2hEBCg/m52e4xOj9HEYS1ORxjP190RGhFITEZhOQfRQLXpT8T+vm+rw0s9YlKQaIjpfFKYc6xhPc8B9JoFqPjGEUMnMrZgOiSRUm7TKJgR38eVl0jqruU7NvTuv1q+LOEroCB2jU+SiC1RHt6iBmoiiR/SMXtGb9WS9WO/Wx7x1xSpmDtEfWJ8/Zu2UDw==</latexit><latexit sha1_base64="TSF1GStHDkWxglBIIcLyzTWUzH4=">AAAB+nicbVBNS8NAEN34WetXqkcvi0XwVBIR9KIUvHisYD+giWWznbRLd5Owu6mUmJ/ixYMiXv0l3vw3btsctPXBwOO9GWbmBQlnSjvOt7Wyura+sVnaKm/v7O7t25WDlopTSaFJYx7LTkAUcBZBUzPNoZNIICLg0A5GN1O/PQapWBzd60kCviCDiIWMEm2knl3xgjAbP2ReIpmAHOdXPbvq1JwZ8DJxC1JFBRo9+8vrxzQVEGnKiVJd10m0nxGpGeWQl71UQULoiAyga2hEBCg/m52e4xOj9HEYS1ORxjP190RGhFITEZhOQfRQLXpT8T+vm+rw0s9YlKQaIjpfFKYc6xhPc8B9JoFqPjGEUMnMrZgOiSRUm7TKJgR38eVl0jqruU7NvTuv1q+LOEroCB2jU+SiC1RHt6iBmoiiR/SMXtGb9WS9WO/Wx7x1xSpmDtEfWJ8/Zu2UDw==</latexit><latexit sha1_base64="TSF1GStHDkWxglBIIcLyzTWUzH4=">AAAB+nicbVBNS8NAEN34WetXqkcvi0XwVBIR9KIUvHisYD+giWWznbRLd5Owu6mUmJ/ixYMiXv0l3vw3btsctPXBwOO9GWbmBQlnSjvOt7Wyura+sVnaKm/v7O7t25WDlopTSaFJYx7LTkAUcBZBUzPNoZNIICLg0A5GN1O/PQapWBzd60kCviCDiIWMEm2knl3xgjAbP2ReIpmAHOdXPbvq1JwZ8DJxC1JFBRo9+8vrxzQVEGnKiVJd10m0nxGpGeWQl71UQULoiAyga2hEBCg/m52e4xOj9HEYS1ORxjP190RGhFITEZhOQfRQLXpT8T+vm+rw0s9YlKQaIjpfFKYc6xhPc8B9JoFqPjGEUMnMrZgOiSRUm7TKJgR38eVl0jqruU7NvTuv1q+LOEroCB2jU+SiC1RHt6iBmoiiR/SMXtGb9WS9WO/Wx7x1xSpmDtEfWJ8/Zu2UDw==</latexit> v0 = PVMv<latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit> Modified projection matrix Eye matrix
  • 35. P0 <latexit sha1_base64="/g+JHpRa/xdS5GCFTrX4tt5wMos=">AAAB+HicbVBNS8NAEN3Ur1o/GvXoZbEInkoigp6k4MVjBfsBbSyb7aRdursJuxuhhvwSLx4U8epP8ea/cdvmoK0PBh7vzTAzL0w408bzvp3S2vrG5lZ5u7Kzu7dfdQ8O2zpOFYUWjXmsuiHRwJmElmGGQzdRQETIoRNObmZ+5xGUZrG8N9MEAkFGkkWMEmOlgVvth1HWfMj6iWIC8nzg1ry6NwdeJX5BaqhAc+B+9YcxTQVIQznRuud7iQkyogyjHPJKP9WQEDohI+hZKokAHWTzw3N8apUhjmJlSxo8V39PZERoPRWh7RTEjPWyNxP/83qpia6CjMkkNSDpYlGUcmxiPEsBD5kCavjUEkIVs7diOiaKUGOzqtgQ/OWXV0n7vO57df/uota4LuIoo2N0gs6Qjy5RA92iJmohilL0jF7Rm/PkvDjvzseiteQUM0foD5zPH0gRk3g=</latexit><latexit 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sha1_base64="/g+JHpRa/xdS5GCFTrX4tt5wMos=">AAAB+HicbVBNS8NAEN3Ur1o/GvXoZbEInkoigp6k4MVjBfsBbSyb7aRdursJuxuhhvwSLx4U8epP8ea/cdvmoK0PBh7vzTAzL0w408bzvp3S2vrG5lZ5u7Kzu7dfdQ8O2zpOFYUWjXmsuiHRwJmElmGGQzdRQETIoRNObmZ+5xGUZrG8N9MEAkFGkkWMEmOlgVvth1HWfMj6iWIC8nzg1ry6NwdeJX5BaqhAc+B+9YcxTQVIQznRuud7iQkyogyjHPJKP9WQEDohI+hZKokAHWTzw3N8apUhjmJlSxo8V39PZERoPRWh7RTEjPWyNxP/83qpia6CjMkkNSDpYlGUcmxiPEsBD5kCavjUEkIVs7diOiaKUGOzqtgQ/OWXV0n7vO57df/uota4LuIoo2N0gs6Qjy5RA92iJmohilL0jF7Rm/PkvDjvzseiteQUM0foD5zPH0gRk3g=</latexit><latexit sha1_base64="/g+JHpRa/xdS5GCFTrX4tt5wMos=">AAAB+HicbVBNS8NAEN3Ur1o/GvXoZbEInkoigp6k4MVjBfsBbSyb7aRdursJuxuhhvwSLx4U8epP8ea/cdvmoK0PBh7vzTAzL0w408bzvp3S2vrG5lZ5u7Kzu7dfdQ8O2zpOFYUWjXmsuiHRwJmElmGGQzdRQETIoRNObmZ+5xGUZrG8N9MEAkFGkkWMEmOlgVvth1HWfMj6iWIC8nzg1ry6NwdeJX5BaqhAc+B+9YcxTQVIQznRuud7iQkyogyjHPJKP9WQEDohI+hZKokAHWTzw3N8apUhjmJlSxo8V39PZERoPRWh7RTEjPWyNxP/83qpia6CjMkkNSDpYlGUcmxiPEsBD5kCavjUEkIVs7diOiaKUGOzqtgQ/OWXV0n7vO57df/uota4LuIoo2N0gs6Qjy5RA92iJmohilL0jF7Rm/PkvDjvzseiteQUM0foD5zPH0gRk3g=</latexit> Ocular Parallax Rendering Eye tracking required Standard Graphics Pipeline Ocular Parallax Graphics Pipeline E<latexit 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sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit><latexit 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sha1_base64="G+LTPnxuJNfMe8ilnqLvrq+A0j4=">AAACA3icbVDLSsNAFJ3UV62vqDvdDBbBVUlE0I1ScONGqGAf0MQymU7aoTOTMDMplBBw46+4caGIW3/CnX/jNM1CWw9cOJxzL/feE8SMKu0431ZpaXllda28XtnY3NresXf3WipKJCZNHLFIdgKkCKOCNDXVjHRiSRAPGGkHo+up3x4TqWgk7vUkJj5HA0FDipE2Us8+8IIwHT+kXiwpJxnMLhut21zLenbVqTk54CJxC1IFBRo9+8vrRzjhRGjMkFJd14m1nyKpKWYkq3iJIjHCIzQgXUMF4kT5af5DBo+N0odhJE0JDXP190SKuFITHphOjvRQzXtT8T+vm+jwwk+piBNNBJ4tChMGdQSngcA+lQRrNjEEYUnNrRAPkURYm9gqJgR3/uVF0jqtuU7NvTur1q+KOMrgEByBE+CCc1AHN6ABmgCDR/AMXsGb9WS9WO/Wx6y1ZBUz++APrM8fVLWX7g==</latexit> Modified projection matrix Eye matrix Negligible computational overhead!
  • 39. Is ocular parallax visible in VR? Does ocular parallax aid in depth perception? Does ocular parallax increase perceptual realism? Fixated Center Fixated Left
  • 43. Detection Threshold Experiment 1D ProportionCorrect Relative Offset in D Psychometric Functions Relative Offset (D) Psychometric Functions ProportionCorrect 0.25 D 0.25 D 0.25 D 0.25 D
  • 44. Detection Threshold Experiment 1D 2D 3D ProportionCorrect Relative Offset in D Psychometric Functions Relative Offset (D) Psychometric Functions ProportionCorrect
  • 45. Threshold Experiment Results 1 2 3 Absolute Distance in D Detection Threshold 0.8 1 0.6 0.4 0.2 0.0 RelativeDistanceinD
  • 46. Threshold Experiment Results 1 2 3 Absolute Distance in D Detection Threshold 0.8 1 0.6 0.4 0.2 0.0 RelativeDistanceinD Ocular Parallax : 0.36D
  • 47. Threshold Experiment Results 1 2 3 Absolute Distance in D Detection Threshold 0.8 1 0.6 0.4 0.2 0.0 RelativeDistanceinD Ocular Parallax : 0.36D [Ogle and Schwartz 1959] Retinal Blur : 0.35D
  • 48. Threshold Experiment Results 1 2 3 Absolute Distance in D Detection Threshold 0.8 1 0.6 0.4 0.2 0.0 RelativeDistanceinD RelativeOffsetinD 1 2 3 Relative Distance From 0D in D Discrimination Threshold 0.8 1 0.6 0.4 0.2 0.0
  • 49. Is ocular parallax visible in VR? Does ocular parallax aid in depth perception? Does ocular parallax increase perceptual realism? Fixated Center Fixated Left
  • 50. Ordinal Depth Experiment Stimulus Conventional Ocular Parallax Reversed Ocular Parallax
  • 51. Conv. Conv.OP OPRev. OP Rev. OP ProportionCorrect 100 75 50 25 0 1D Ordinal Depth Experiment Results
  • 52. Conv. Conv.OP OPRev. OP Rev. OP ProportionCorrect 100 75 50 25 0 1D Ordinal Depth Experiment Results
  • 53. Conv. Conv.OP OPRev. OP Rev. OP ProportionCorrect 100 75 50 25 0 *** *** ** 1D Ordinal Depth Experiment Results
  • 54. Conv. Conv.OP OPRev. OP Rev. OP ProportionCorrect 100 75 50 25 0 *** *** ** 1D Ordinal Depth Experiment Results
  • 55. Conv. Conv.OP OPRev. OP Rev. OP ProportionCorrect 100 75 50 25 0 *** *** ** 1D Ordinal Depth Experiment Results Ocular Parallax Reversed Ocular Parallax
  • 56. Conv. Conv.OP OPRev. OP Rev. OP ProportionCorrect 100 75 50 25 0 *** *** ** 1D Ordinal Depth Experiment Results 2D
  • 59. Is ocular parallax visible in VR? Does ocular parallax aid in? depth perception? Does ocular parallax increase perceptual realism? Fixated Center Fixated Left
  • 61. Perceptual Realism Study Stimulus Right Eye
  • 63. Ocular Parallax Increases Perceptual Realism PercentMoreRealisticDepth Reversed OP over Conventional OP over Reversed OPOP over Conventional 100 50 0
  • 64. Ocular Parallax Increases Perceptual Realism PercentMoreRealisticDepth Reversed OP over Conventional OP over Reversed OPOP over Conventional 100 50 0 ***
  • 65. Ocular Parallax Increases Perceptual Realism PercentMoreRealisticDepth Reversed OP over Conventional OP over Reversed OPOP over Conventional 100 50 0 *** ***
  • 66. Ocular Parallax Increases Perceptual Realism PercentMoreRealisticDepth Reversed OP over Conventional OP over Reversed OPOP over Conventional 100 50 0 *** ***
  • 67. Is ocular parallax visible in VR? Does ocular parallax aid in depth perception? Does ocular parallax increase perceptual realism? Yes! Yes (ordinal depth) No? (absolute depth) Yes!
  • 69. Gaze-Contingent VR Systems Are Here Depth of Field Rendering Foveated RenderingVarifocal Displays SMIOculusOculus
  • 70. Robert Konrad stanford.edu/~rkkonrad/ Stanford Computational Imaging Lab computationalimaging.org Fixated Center Fixated Left https://arxiv.org/abs/1906.09740 R. Konrad, A. Angelopoulos, G. Wetzstein, “Gaze-Contingent Ocular Parallax Rendering for Virtual Reality”, in arXiv, 2019.