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Shape from shading with a linear triangular element surface model

12 years 3 months ago
Shape from shading with a linear triangular element surface model
We propose to combine a triangular element surface model with a linearized reflectance map to formulate the shape-from-shading problem. The main idea is to approximate a smooth surface by the union of triangular surface patches called triangular elements and express the approximating surface as a linear combination of a set of nodal basis functions. Since the surface normal of a triangular element is uniquely determined by heights of its thm vertices (or nodes), image brightness can be directly related to nodal heights via the linearized reflectance map. The surface height can then be determined by minimizing a quadratic cost functional corresponding to the squares of brightness errors and solved effectively with the multigrid computational technique. The proposed method does not require any integrability constraint or artificial assumptions on boundary conditions. Simulation results for synthetic and real images are demonstrated to show the performance and efficiency of our new method...
Kyoung Mu Lee (Seoul National University), C.-C. J
Added 21 Jul 2009
Updated 02 Apr 2010
Type Journal
Year 1993
Where PAMI
Authors Kyoung Mu Lee (Seoul National University), C.-C. J. Kuo
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