Abstract
This paper presents a novel active surface segmentation algorithm using a multiscale shape representation and prior. We define a parametric model of a surface using spherical wavelet functions and learn a prior probability distribution over the wavelet coefficients to model shape variations at different scales and spatial locations in a training set. Based on this representation, we derive a parametric active surface evolution using the multiscale prior coefficients as parameters for our optimization procedure to naturally include the prior in the segmentation framework. Additionally, the optimization method can be applied in a coarse-to-fine manner. We apply our algorithm to the segmentation of brain caudate nucleus, of interest in the study of schizophrenia. Our validation shows our algorithm is computationally efficient and outperforms the Active Shape Model algorithm by capturing finer shape details.
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Keywords
- Image Force
- Surface Evolution
- Shape Representation
- Statistical Shape Modelling
- Prior Probability Distribution
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References
Vetsa, S., Styner, M., Pizer, S., Lieberman, J., Gerig, G.: Caudate shape discrimination in schizophrenia using template-free non-parametric tests. In: Ellis, R.E., Peters, T.M. (eds.) MICCAI 2003. LNCS, vol. 2879, pp. 661–669. Springer, Heidelberg (2003)
Xu, C., Pham, D.L., Prince, J.L.: Medical Image Segmentation Using Deformable Models. In: Handbook of Medical Imaging, vol. 2, pp. 129–174. SPIE Press (2000)
Cootes, T.F., Taylor, C.J.: Combining point distribution models with shape models based on finite element analysis. Image Vis. Computing 13, 403–409 (1995)
Tsai, A., Yezzi, A.J., Wells III, W.M., Tempany, C., Tucker, D., Fan, A., Grimson, W.E.L., Willsky, A.S.: A shape-based approach to the segmentation of medical imagery using level sets. IEEE Trans. Med. Imaging 22, 137–154 (2003)
Rousson, M., Cremers, D.: Efficient kernel density estimation of shape and intensity priors for level set segmentation. In: Duncan, J.S., Gerig, G. (eds.) MICCAI 2005. LNCS, vol. 3750, pp. 757–764. Springer, Heidelberg (2005)
Davatzikos, C., Tao, X., Shen, D.: Hierarchical active shape models, using the wavelet transform. IEEE Trans. Medical Imaging 22, 414–423 (2003)
Nain, D., Haker, S., Bobick, A., Tannenbaum, A.: Multiscale 3d shape analysis using spherical wavelets. In: Duncan, J.S., Gerig, G. (eds.) MICCAI 2005. LNCS, vol. 3750, pp. 459–467. Springer, Heidelberg (2005)
Schröder, P., Sweldens, W.: Spherical wavelets: Texture processing. In: Hanrahan, P., Purgathofer, W. (eds.) Rendering Techniques 1995. Springer, Heidelberg (1995)
Nain, D., Haker, S., Bobick, A., Tannenbaum, A.: Multiscale 3d shape representation and segmentation using spherical wavelets. Journal article (submitted, 2006)
Haker, S., Warfield, S., Tempany, C.: Landmark-guided surface matching and volumetric warping for improved prostate biopsy targeting. In: Barillot, C., Haynor, D.R., Hellier, P. (eds.) MICCAI 2004. LNCS, vol. 3216, pp. 853–861. Springer, Heidelberg (2004)
Duda, R., Hart, P., Stork, D.: Pattern Classification. Wiley-Interscience, Chichester (2001)
Shi, J., Malik, J.: Normalized cuts and image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence 22, 888–905 (2000)
Lepetit, V., Fua, P.: Monocular Model-Based 3D Tracking of Rigid Objects: A Survey. In: Foundations and Trends in Computer Graphics and Vision, vol. 1, pp. 1–89. Now Publishing (2005)
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Nain, D., Haker, S., Bobick, A., Tannenbaum, A. (2006). Shape-Driven 3D Segmentation Using Spherical Wavelets. In: Larsen, R., Nielsen, M., Sporring, J. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2006. MICCAI 2006. Lecture Notes in Computer Science, vol 4190. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11866565_9
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DOI: https://doi.org/10.1007/11866565_9
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