Shape from shading as a partially well-constrained problem

J Oliensis - CVGIP: Image Understanding, 1991 - Elsevier
For general objects, and for illumination from a general direction, we study the constraints on
shape imposed by shading. Assuming generalized Lambertian reflectance, we argue that …

Shape from shading in the light of mutual illumination

D Forsyth, A Zisserman - Image and vision computing, 1990 - Elsevier
Shape from shading schemes are based on the assumption that image radiance is a
function of surface normal alone. Unfortunately, because surfaces illuminate one another …

Unifying approaches and removing unrealistic assumptions in shape from shading: Mathematics can help

E Prados, O Faugeras - Computer Vision-ECCV 2004: 8th European …, 2004 - Springer
This article proposes a solution of the Lambertian Shape From Shading (SFS) problem by
designing a new mathematical framework based on the notion of viscosity solutions. The …

Shape and source from shading

MJ Brooks, BKP Horn - 1985 - dspace.mit.edu
Well-known methods for solving the shape-from-shading problem require knowledge of the
reflectance map. Here we show how the shape-from-shading problem can be solved when …

Shape from shading and viscosity solutions

E Prados, O Faugeras, E Rouy - … ECCV 2002: 7th European Conference on …, 2002 - Springer
This article presents an approach to the shape from shading problem which is based upon
the notion of viscosity solutions to the shading partial differential equation, in effect a …

Estimation of illuminant direction, albedo, and shape from shading

Q Zheng, R Chellappa - Physics-Based Vision: Principles and …, 2002 - books.google.com
Estimation of illuminant direction, albedo, and shape from shading Page 58 Estimation of
Illuminant Direction, Albedo, and Shape from Shading 39 Estimation of Illuminant Direction …

Uniqueness in shape from shading

J Oliensis - International Journal of Computer Vision, 1991 - Springer
For general images of smooth objects wholly contained in the field of view, and for
illumination symmetric around the viewing direction, it is proven that shape is uniquely …

Shape from shading: a well-posed problem?

E Prados, O Faugeras - 2005 IEEE computer society …, 2005 - ieeexplore.ieee.org
Shape from shading is known to be an ill-posed problem. We show in this paper that if we
model the problem in a different way than it is usually done, more precisely by taking into …

Surface-normals from closed paths

MJ Brooks - Proceedings of the 6th international joint conference on …, 1979 - dl.acm.org
It is now well established that the shading present in an image of an object is a potential
source of 3-D shape information. With this in mind, we seek constraints arising out of the …

Surface reconstruction preserving discontinuities

JL Marroquin - 1984 - dspace.mit.edu
Well-known methods for solving the shape-from-shading problem require knowledge of the
reflectance map. Here we show how the shape-from-shading problem can be solved when …