A Non-local Approach to Shape from Ambient Shading

Emmanuel Prados,Nitin Jindal,Stefano Soatto

SCALE SPACE AND VARIATIONAL METHODS IN COMPUTER VISION, PROCEEDINGS（2009）

Cited 9|Views7

No score

Abstract

We study the mathematical and numerical aspects of the estimation of the 3-D shape of a Lambertian scene seen under diffuse illumination. This problem is known as "shape from ambient shading" (SFAS), and its solution consists of integrating a strongly non-local and non-linear Integro-Partial Differential Equation (I-PDE). We provide a first analysis of this global I-PDE, whereas previous work had focused on a local version that ignored effects such as occlusion of the light field. We also design an original approximation scheme which, following Barles and Souganidis' theory, ensures the correctness of the numerical approximations, and discuss about some numerical issues.

Translated text

Key words

diffuse illumination,light field,local version,numerical approximation,3-d shape,global i-pde,lambertian scene,non-local approach,ambient shading,numerical issue,numerical aspect,partial differential equation

AI Read Science

Must-Reading Tree

Example

Generate MRT to find the research sequence of this paper

Chat Paper

Summary is being generated by the instructions you defined