Regularized segmentation based on nonlinear PDE models: some numerical aspects

Serena Morigi; Fiorella Sgallari

doi:10.1117/12.624533

16 September 2005 Regularized segmentation based on nonlinear PDE models: some numerical aspects

Serena Morigi, Fiorella Sgallari

Proceedings Volume 5910, Advanced Signal Processing Algorithms, Architectures, and Implementations XV; 59100Y (2005) https://doi.org/10.1117/12.624533
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

Given a 2D/3D image containing one or more objects of interest, we address the general problem of segmenting these objects providing a control over the smoothness of their boundaries. The boundary smooth is performed by a nonlinear diffusion process which simultaneously detect and segment the objects, controlling their boundary fairness while preserving the edges of the objects. We denote this process as regularized segmentation. We address the efficient computation of regularized segmentation using semi-implicit and implicit complementary volume schemes. Finally, we show segmentation results on artificial and real-word 2D images and preliminary results in 3D.

Citation Download Citation

Serena Morigi and Fiorella Sgallari "Regularized segmentation based on nonlinear PDE models: some numerical aspects", Proc. SPIE 5910, Advanced Signal Processing Algorithms, Architectures, and Implementations XV, 59100Y (16 September 2005); https://doi.org/10.1117/12.624533

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KEYWORDS

Image segmentation

3D image processing

3D modeling

Image processing

Complex systems

Optical spheres

Diffusion

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