Uniqueness in Shape from Shading Revisited

Authors:
Ryszard Kozera
Affiliations:
Department of Computer Science, The University of Western Australia, and Technische Universitä/t Berlin, Nedlands, WA 6907, Australia/ Fachbereich Informatik 13, FR 3-11, Franklinstraß/e 2 ...
Venue:
Journal of Mathematical Imaging and Vision
Year:
1997

Citing 7
Cited 3

Integrability disambiguates surface recovery in two-image photometric stereo

International Journal of Computer Vision
Uniqueness in shape from shading

International Journal of Computer Vision
Existence and uniqueness in photometric stereo

Applied Mathematics and Computation
A viscosity solutions approach to shape-from-shading

SIAM Journal on Numerical Analysis
Impossible and ambiguous shading patterns

International Journal of Computer Vision
On complete integrals and uniqueness in shape from shading

Applied Mathematics and Computation
Robot Vision

Robot Vision

Exploring spatial audio conferencing functionality in multiuser virtual environments (poster session)

Proceedings of the third international conference on Collaborative virtual environments
A Generic and Provably Convergent Shape-from-Shading Method for Orthographic and Pinhole Cameras

International Journal of Computer Vision
Numerical methods for shape-from-shading: A new survey with benchmarks

Computer Vision and Image Understanding

Quantified Score

Hi-index	0.00

Visualization

Abstract

We analyse the problem of representing solutions of first-orderpartial differential equations in terms of complete integrals and envelopes. In this context, we revisit the uniqueness results alreadyexisting in the shape-from-shading literature that concern eikonalequations corresponding to the images of a Lambertian hemi-sphere and aLambertian plane. We show that the approach adopted by Brooks in [2, 3] isincomplete and subsequently re-establish its uniqueness claims.