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Stereoscopic Segmentation (2001)

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by Anthony Yezzi , Stefano Soatto
Citations:53 - 14 self
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BibTeX

@MISC{Yezzi01stereoscopicsegmentation,
    author = {Anthony Yezzi and Stefano Soatto},
    title = {Stereoscopic Segmentation},
    year = {2001}
}

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Abstract

We cast the problem of multiframe stereo reconstruction of a smooth shape as the global region segmentation of a collection of images of the scene. Dually, the problem of segmenting multiple calibrated images of an object becomes that of estimating the solid shape that gives rise to such images. We assume that the radiance has smooth statistics. This assumption covers Lambertian scenes with smooth or constant albedo as well as fine homogeneous textures, which are known challenges to stereo algorithms based on local correspondence. We pose the segmentation problem within a variational framework, and use fast level set methods to approximate the optimal solution numerically. Our algorithm does not work in the presence of strong textures, where traditional reconstruction algorithms do. It enjoys significant robustness to noise under the assumptions it is designed for. 1

Citations

447 User’s guide to viscosity solutions of second order partial differential equations - CRANDALL, ISHII, et al.
375 On Active Contour Models and Balloons - Cohen - 1991
151 Variational principles, surface evolution, PDEs, level set methods, and the stereo problem - Faugeras, Keriven - 1998
142 A geometric model for active contours in image processing - Caselles, Catte, et al. - 1993
136 Controlled Markove Processes and Viscosity solutions - Fleming, Soner - 1992
110 Surface Shape from the Deformation of Apparent Contours - Blake - 1992
73 Variational problems and partial differential equations on implicit surfaces: The framework and examples in image processing and pattern formation - Bertalmio, Cheng, et al.
72 ªDeformable Boundary Finding in Medical Images by Integrating Gradient and Region Information,º - Chakraborthy, Staib, et al. - 1996
71 Vese L: An Active Contour Model without Edges.Scale-Space Theories in Computer Vision - Chan
38 Game-Theoretic Integration for Image Segmentation - Chakraborty, Duncan - 1999
32 Three dimensional vision, a geometric viewpoint - Faugeras - 1993
19 Geodesic snakes - Caselles, Kimmel, et al.
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