1991
DOI: 10.1109/34.85658
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Estimation of illuminant direction, albedo, and shape from shading

Abstract: A robust approach to recovery of shape from shading information is presented. Assuming uniform albedo and Lambertian surface for the imaging model, we first present methods for the estimation of illuminant direction and surface albedo. The illuminant azimuth is estimated by averaging local estimates. The illuminant elevation and surface albedo are estimated from image statistics. Using the estimated reflectance map parameters, we then compute the surface shape using a new procedure, which implements the smooth… Show more

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Cited by 350 publications
(165 citation statements)
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“…From a mathematical point of view, this coincides the requirement that, for any point of the reconstruction domain, the surface height is (or needs to be) independent from the path of integration (Frankot and Chellappa, 1988;Horn, 1989;Zheng and Chellappa, 1991). Considering that, it is possible to formulate a relation between normal N and surface gradient ∇ Z as follows:…”
Section: Functional Contributionsmentioning
confidence: 99%
“…From a mathematical point of view, this coincides the requirement that, for any point of the reconstruction domain, the surface height is (or needs to be) independent from the path of integration (Frankot and Chellappa, 1988;Horn, 1989;Zheng and Chellappa, 1991). Considering that, it is possible to formulate a relation between normal N and surface gradient ∇ Z as follows:…”
Section: Functional Contributionsmentioning
confidence: 99%
“…According to the differences of the additional constraints, SFS techniques can be divided into four groups: minimization approaches, propagation approaches, local approaches, and linear approaches [6]. The paper mainly introduces Zheng's [7] algorithm, which is a minimization approach.…”
Section: Sfs Algorithmmentioning
confidence: 99%
“…Zheng [7] computed the solution by minimizing an energy function over the entire image. The function involves a brightness constraint, an integrability constraint, and an intensity gradient constraint.…”
Section: Algorithmmentioning
confidence: 99%
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“…For example, segmentation algorithms can be improved if the incoming light direction is known (Powel et al, 2001). Moreover, shape from shading approaches rely on some information concerning light sources (Zheng and Chellappa, 1991;Lee and Rosenfeld, 1985;Brooks and Horn, 1985), as well as augmented reality where virtual objects have to be lit with real light sources. Today applications in computer graphics are more and more concerned with this topic, especially with image-based rendering approaches.…”
Section: Introductionmentioning
confidence: 99%