TY - JOUR
T1 - Uniqueness in Shape from Shading Revisited
AU - Kozera, Ryszard
PY - 1997
Y1 - 1997
N2 - We analyse the problem of representing solutions of first-order partial differential equations in terms of complete integrals and envelopes. In this context, we revisit the uniqueness results already existing in the shape-from-shading literature that concern eikonal equations corresponding to the images of a Lambertian hemi-sphere and a Lambertian plane. We show that the approach adopted by Brooks in [2, 3] is incomplete and subsequently re-establish its uniqueness claims.
AB - We analyse the problem of representing solutions of first-order partial differential equations in terms of complete integrals and envelopes. In this context, we revisit the uniqueness results already existing in the shape-from-shading literature that concern eikonal equations corresponding to the images of a Lambertian hemi-sphere and a Lambertian plane. We show that the approach adopted by Brooks in [2, 3] is incomplete and subsequently re-establish its uniqueness claims.
UR - https://www.scopus.com/pages/publications/0031098718
U2 - 10.1023/A:1008249420974
DO - 10.1023/A:1008249420974
M3 - Article
VL - 7
SP - 123
EP - 138
JO - Journal of Mathematical Imaging and Vision
JF - Journal of Mathematical Imaging and Vision
IS - 2
ER -