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Paper · arXiv

A Theory of Shape Reconstruction from Heat Conduction and Shading

Shape from shading using a single image of a Lam- bertian surface is inherently ambiguous. When the light source direction is known, the surface normal estimation has a cone- ambiguity, which worsens when the source is unknown. Recently, shape from heat conduction has emerged as an approach that leverages heat transport equations to estimate the Shape Lapla- cian operator, an intrinsic measure of shape. However, deriving surface normals from the Laplacian operator encounters a local binary convex/concave ambiguity. Our contribution introduces a novel theory to resolve these local shape ambiguities (excluding a few degeneracies) without relying on priors like smoothness, by combining the c...

AuthorsAkihiko Oharazawa, Sriram Narayanan, Mani Ramanagopal et al.
Primary categorycs.CV
Published2 October 2026
Last updated at source2 October 2026
cs.CV
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