5º CONGRESSO NACIONAL DE BIOMECÂNICA
                    R.M. Natal Jorge, J.M.R.S. Tavares, J. Belinha, MPL Parente, PALS Martins (Eds)
                                                           Espinho, Portugal, 8 e 9 de Fevereiro, 2013


              FROM MEDICAL IMAGE TO 3D ENTITIES CREATION
                                      Diogo, S; Claro, J C P
               CT2M – Centre of Mechanical & Materials Technologies, University of Minho

KEYWORDS: Segmentation, FE mesh generation, Intervertebral Disc

1. INTRODUCTION
                                                        2.2 CONFIDENCE CONNECTED REGION
In order to obtain a 3D entity, for use in a
                                                             GROWING
Finite Element (FE) simulation biomodel a
                                                        This algorithm involves the selection of
set of procedures need to take place and,
                                                        seed points, which will control the
among them, one of the most important is
                                                        formation of regions into which the image
the segmentation of the medical images.
                                                        will be segmented. It examines the
Segmentation can be defined as the process
                                                        neighbouring pixels of the initial seed point
of decomposition of a 3D domain,
                                                        and determines whether the pixel
reconstructed from 2D images, into
                                                        neighbours should be added to the region.
different    segments     for    subsequent
                                                        In this work we used this algorithm twice to
generation of a suitable for the generation
                                                        produce the results seen in Figures 1(c) and
of a FE mesh.
                                                        1(d).
The aim of this study is to built up an
automatic procedure for the segmentation                2.3 LEVEL SET FILTER – SHAPE DETECTION
of an Intervertebral Disc (IVD), taking into                 IMAGE FILTER
consideration its two main regions: the                 This filter represents the evolving contour
Nucleus Pulposus (NP) and Annulus                       using a signed function, where its zero level
Fibrosus (AF) departing from micro-MRI.                 corresponds to the actual contour. Then, a
                                                        similar flow can be deriving for the implicit
2. METHODOLOGY
                                                        surface, according to the motion equation of
In this work a commercial software was
                                                        the contour, that when applied to the zero-
used and the algorithms employed for
                                                        level will reflect the propagation of the
image segmentation will be described.
                                                        contour. [1]
Firstly, we will describe the procedures for
                                                        The results are shown in Figure 1(e).
the NP. Figure 1(a) represents the original
image. For the AF, the same procedures                  2.4 SMOOTHING – RECURSIVE GAUSSIAN
were applied. Results for the AF                             FILTER
segmentation are shown in figure 2.                     The filter smoothes an image by convolving
                                                        it with a Gaussian kernel. It is a good way
2.1 NOISE FILTERING - CURVATURE
                                                        to remove noise. The key parameter is the
    ANISOTROPIC DIFFUSION FILTER
                                                        Gaussian sigma, which controls the width
This filter preserves edges. This filter                of the Gaussian kernel. The larger the value
requires three parameters: the number of                of sigma, the larger is the kernel support,
iterations to be performed, the time step,              which tends to smooth the image.
and the conductance parameter used in the               Results are shown in Figure 1(f).
computation of the level set evolution.
Typical values for 2D were used and the                 3. RESULTS AND DISCUSSION
results can be seen in Figure 1(b).                     The resolution of the medical images was
                                                        0.12x0.12x0.59 mm.
5º CONGRESSO NACIONAL DE BIOMECÂNICA
                        R.M. Natal Jorge, J.M.R.S. Tavares, J. Belinha, MPL Parente, PALS Martins (Eds)
                                                               Espinho, Portugal, 8 e 9 de Fevereiro, 2013

The results of the image segmentation can
be seen in the images below, been Figure 1
for the NP and Figure 2 for the AF.




                                                                                     (a)
            (a)                          (b)




                (c)                     (d)

                                                                                     (b)




          (e)                             (f)

Figure 1 – Image segmentation for NP.
(a) Original.
(b) Noise filtering – Curvature anisotropic diffusion
filter.
(c) Confidence connected region growing.                                             (c)
(d) Confidence connected region growing.                  Figure 2 – Image segmentation for AF.
(e) Level Set filter – Shape detection image filter.      (a) Confidence connected region growing.
(f) Smoothing – Recursive Gaussian filter.                (b) Level set filter – Shape detection image filter.
                                                          (c) Smoothing – Recursive Gaussian filter.

                                                          The geometrical accuracy of the FE mesh
                                                          depends on the size of the grid dimensions.
                                                          In this study the grid size used was 0.25
                                                          mm and the various parameters used in the
                                                          treatment are listed in Table 1.
5º CONGRESSO NACIONAL DE BIOMECÂNICA
                        R.M. Natal Jorge, J.M.R.S. Tavares, J. Belinha, MPL Parente, PALS Martins (Eds)
                                                               Espinho, Portugal, 8 e 9 de Fevereiro, 2013

Table 1 - Different parameters used in FE mesh
generation
Voxel
dimension 0.117188 0.117188 0.593415
[mm]
Voxel                        0.62
Diagonal                                                  Figure 4 - Sagittal cross section of the obtained FE
Grid Size                    0.25                         mesh
N                            0.70
Ϭ1 (0.5 xN)                  0.35
                                                          ACKNOWLEDGEMENTS
Ϭ2 (1 x N)                   0.70
                                                          This work was performed within the
Ϭ3 (2 x N)                   1.41
                                                          European Project: NP Mimetic –
Ϭ4 (4 x N)                  2.80                          Biomimetic Nano-Fibre Based Nucleus
Ϭ5 (6 x N)                  4.20                          Pulposus Regeneration for the Treatment
                                                          off Degenerative Disc Disease, funded by
                                                          the European Commission under FP7 (grant
 After analysis and selection of the
                                                          NMP-2009-SMALL-3-CP-FP 246351).
parameters’ values the FE final entities
mesh is shown in Figures 3 and 4.                         REFERENCES
                                                          1.        Osher, S. and N. Paragios, Geometric Level Set
                                                          Methods in Imaging, Vision, and Graphics. 2003: Springer.




Figure 3 - FE mesh obtained for N = 0.7' and Ϭ = 4.2

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Abstract from medical image to 3 d entities creation

  • 1. 5º CONGRESSO NACIONAL DE BIOMECÂNICA R.M. Natal Jorge, J.M.R.S. Tavares, J. Belinha, MPL Parente, PALS Martins (Eds) Espinho, Portugal, 8 e 9 de Fevereiro, 2013 FROM MEDICAL IMAGE TO 3D ENTITIES CREATION Diogo, S; Claro, J C P CT2M – Centre of Mechanical & Materials Technologies, University of Minho KEYWORDS: Segmentation, FE mesh generation, Intervertebral Disc 1. INTRODUCTION 2.2 CONFIDENCE CONNECTED REGION In order to obtain a 3D entity, for use in a GROWING Finite Element (FE) simulation biomodel a This algorithm involves the selection of set of procedures need to take place and, seed points, which will control the among them, one of the most important is formation of regions into which the image the segmentation of the medical images. will be segmented. It examines the Segmentation can be defined as the process neighbouring pixels of the initial seed point of decomposition of a 3D domain, and determines whether the pixel reconstructed from 2D images, into neighbours should be added to the region. different segments for subsequent In this work we used this algorithm twice to generation of a suitable for the generation produce the results seen in Figures 1(c) and of a FE mesh. 1(d). The aim of this study is to built up an automatic procedure for the segmentation 2.3 LEVEL SET FILTER – SHAPE DETECTION of an Intervertebral Disc (IVD), taking into IMAGE FILTER consideration its two main regions: the This filter represents the evolving contour Nucleus Pulposus (NP) and Annulus using a signed function, where its zero level Fibrosus (AF) departing from micro-MRI. corresponds to the actual contour. Then, a similar flow can be deriving for the implicit 2. METHODOLOGY surface, according to the motion equation of In this work a commercial software was the contour, that when applied to the zero- used and the algorithms employed for level will reflect the propagation of the image segmentation will be described. contour. [1] Firstly, we will describe the procedures for The results are shown in Figure 1(e). the NP. Figure 1(a) represents the original image. For the AF, the same procedures 2.4 SMOOTHING – RECURSIVE GAUSSIAN were applied. Results for the AF FILTER segmentation are shown in figure 2. The filter smoothes an image by convolving it with a Gaussian kernel. It is a good way 2.1 NOISE FILTERING - CURVATURE to remove noise. The key parameter is the ANISOTROPIC DIFFUSION FILTER Gaussian sigma, which controls the width This filter preserves edges. This filter of the Gaussian kernel. The larger the value requires three parameters: the number of of sigma, the larger is the kernel support, iterations to be performed, the time step, which tends to smooth the image. and the conductance parameter used in the Results are shown in Figure 1(f). computation of the level set evolution. Typical values for 2D were used and the 3. RESULTS AND DISCUSSION results can be seen in Figure 1(b). The resolution of the medical images was 0.12x0.12x0.59 mm.
  • 2. 5º CONGRESSO NACIONAL DE BIOMECÂNICA R.M. Natal Jorge, J.M.R.S. Tavares, J. Belinha, MPL Parente, PALS Martins (Eds) Espinho, Portugal, 8 e 9 de Fevereiro, 2013 The results of the image segmentation can be seen in the images below, been Figure 1 for the NP and Figure 2 for the AF. (a) (a) (b) (c) (d) (b) (e) (f) Figure 1 – Image segmentation for NP. (a) Original. (b) Noise filtering – Curvature anisotropic diffusion filter. (c) Confidence connected region growing. (c) (d) Confidence connected region growing. Figure 2 – Image segmentation for AF. (e) Level Set filter – Shape detection image filter. (a) Confidence connected region growing. (f) Smoothing – Recursive Gaussian filter. (b) Level set filter – Shape detection image filter. (c) Smoothing – Recursive Gaussian filter. The geometrical accuracy of the FE mesh depends on the size of the grid dimensions. In this study the grid size used was 0.25 mm and the various parameters used in the treatment are listed in Table 1.
  • 3. 5º CONGRESSO NACIONAL DE BIOMECÂNICA R.M. Natal Jorge, J.M.R.S. Tavares, J. Belinha, MPL Parente, PALS Martins (Eds) Espinho, Portugal, 8 e 9 de Fevereiro, 2013 Table 1 - Different parameters used in FE mesh generation Voxel dimension 0.117188 0.117188 0.593415 [mm] Voxel 0.62 Diagonal Figure 4 - Sagittal cross section of the obtained FE Grid Size 0.25 mesh N 0.70 Ϭ1 (0.5 xN) 0.35 ACKNOWLEDGEMENTS Ϭ2 (1 x N) 0.70 This work was performed within the Ϭ3 (2 x N) 1.41 European Project: NP Mimetic – Ϭ4 (4 x N) 2.80 Biomimetic Nano-Fibre Based Nucleus Ϭ5 (6 x N) 4.20 Pulposus Regeneration for the Treatment off Degenerative Disc Disease, funded by the European Commission under FP7 (grant After analysis and selection of the NMP-2009-SMALL-3-CP-FP 246351). parameters’ values the FE final entities mesh is shown in Figures 3 and 4. REFERENCES 1. Osher, S. and N. Paragios, Geometric Level Set Methods in Imaging, Vision, and Graphics. 2003: Springer. Figure 3 - FE mesh obtained for N = 0.7' and Ϭ = 4.2