Computer Vision, Graphics, and Image Processing
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
High-order essentially nonsocillatory schemes for Hamilton-Jacobi equations
SIAM Journal on Numerical Analysis
A viscosity solutions approach to shape-from-shading
SIAM Journal on Numerical Analysis
A level set formulation for the solution of the Dirichlet problem for Hamilton-Jacobi equations
SIAM Journal on Mathematical Analysis
Tracking level sets by level sets: a method for solving the shape from shading problem
Computer Vision and Image Understanding
Shape from shading: level set propagation and viscosity solutions
International Journal of Computer Vision
Belief Propagation for Depth Cue Fusion in Minimally Invasive Surgery
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
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Abstract: Describes an approach to reconstructing a shape from it's shaded image in the case where a point light source is at the projection center. This condition well approximates the imaging system of an endoscope. In this case, the image gray level depends on not only the gradient of the object surface but also the distance from the light source to each point on the surface. To deal with this difficulty, the authors introduce the evolution equation for equal-range contours on the surface. Propagating this contour solving the equation, one can reconstruct a shape. Experimental results far real medical endoscope images of a human stomach inner wall show feasibility of this method, and present a promising technique for morphological analysis of tumors on human inner organs.