Unique Shape Reconstruction Using Interreflections

Jun YANG; Dili ZHANG; Noboru OHNISHI; Noboru SUGIE

Unique Shape Reconstruction Using Interreflections

Jun YANG, Dili ZHANG, Noboru OHNISHI, Noboru SUGIE

Full Text Views

0

Cite this

Summary :

We discuss the uniqueness of 3-D shape reconstruction of a polyhedron from a single shading image. First, we analytically show that multiple convex (and concave) shape solutions usually exist for a simple polyhedron if interreflections are not considered. Then we propose a new approach to uniquely determine the concave shape solution using interreflections as a constraint. An example, in which two convex and two concave shapes were obtained from a single shaded image for a trihedral corner, has been given by Horn. However, how many solutions exist for a general polyhedron wasn't described. We analytically show that multiple convex (and concave) shape solutions usually exist for a pyramid using a reflectance map, if interreflection distribution is not considered. However, if interreflection distribution is used as a constraint that limits the shape solution for a concave polyhedron, the polyhedral shape can be uniquely determined. Interreflections, which were considered to be deleterious in conventional approaches, are used as a constraint to determine the shape solution in our approach.

Publication: IEICE TRANSACTIONS on Information Vol.E81-D No.3 pp.307-316

Publication Date: 1998/03/25

Publicized

Online ISSN

DOI

Type of Manuscript

Category: Image Processing,Computer Graphics and Pattern Recognition

Cite this

Copy

Jun YANG, Dili ZHANG, Noboru OHNISHI, Noboru SUGIE, "Unique Shape Reconstruction Using Interreflections" in IEICE TRANSACTIONS on Information, vol. E81-D, no. 3, pp. 307-316, March 1998, doi: .
Abstract: We discuss the uniqueness of 3-D shape reconstruction of a polyhedron from a single shading image. First, we analytically show that multiple convex (and concave) shape solutions usually exist for a simple polyhedron if interreflections are not considered. Then we propose a new approach to uniquely determine the concave shape solution using interreflections as a constraint. An example, in which two convex and two concave shapes were obtained from a single shaded image for a trihedral corner, has been given by Horn. However, how many solutions exist for a general polyhedron wasn't described. We analytically show that multiple convex (and concave) shape solutions usually exist for a pyramid using a reflectance map, if interreflection distribution is not considered. However, if interreflection distribution is used as a constraint that limits the shape solution for a concave polyhedron, the polyhedral shape can be uniquely determined. Interreflections, which were considered to be deleterious in conventional approaches, are used as a constraint to determine the shape solution in our approach.
URL: https://global.ieice.org/en_transactions/information/10.1587/e81-d_3_307/_p

Copy

@ARTICLE{e81-d_3_307,
author={Jun YANG, Dili ZHANG, Noboru OHNISHI, Noboru SUGIE, },
journal={IEICE TRANSACTIONS on Information},
title={Unique Shape Reconstruction Using Interreflections},
year={1998},
volume={E81-D},
number={3},
pages={307-316},
abstract={We discuss the uniqueness of 3-D shape reconstruction of a polyhedron from a single shading image. First, we analytically show that multiple convex (and concave) shape solutions usually exist for a simple polyhedron if interreflections are not considered. Then we propose a new approach to uniquely determine the concave shape solution using interreflections as a constraint. An example, in which two convex and two concave shapes were obtained from a single shaded image for a trihedral corner, has been given by Horn. However, how many solutions exist for a general polyhedron wasn't described. We analytically show that multiple convex (and concave) shape solutions usually exist for a pyramid using a reflectance map, if interreflection distribution is not considered. However, if interreflection distribution is used as a constraint that limits the shape solution for a concave polyhedron, the polyhedral shape can be uniquely determined. Interreflections, which were considered to be deleterious in conventional approaches, are used as a constraint to determine the shape solution in our approach.},
keywords={},
doi={},
ISSN={},
month={March},}

Copy

TY - JOUR
TI - Unique Shape Reconstruction Using Interreflections
T2 - IEICE TRANSACTIONS on Information
SP - 307
EP - 316
AU - Jun YANG
AU - Dili ZHANG
AU - Noboru OHNISHI
AU - Noboru SUGIE
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E81-D
IS - 3
JA - IEICE TRANSACTIONS on Information
Y1 - March 1998
AB - We discuss the uniqueness of 3-D shape reconstruction of a polyhedron from a single shading image. First, we analytically show that multiple convex (and concave) shape solutions usually exist for a simple polyhedron if interreflections are not considered. Then we propose a new approach to uniquely determine the concave shape solution using interreflections as a constraint. An example, in which two convex and two concave shapes were obtained from a single shaded image for a trihedral corner, has been given by Horn. However, how many solutions exist for a general polyhedron wasn't described. We analytically show that multiple convex (and concave) shape solutions usually exist for a pyramid using a reflectance map, if interreflection distribution is not considered. However, if interreflection distribution is used as a constraint that limits the shape solution for a concave polyhedron, the polyhedral shape can be uniquely determined. Interreflections, which were considered to be deleterious in conventional approaches, are used as a constraint to determine the shape solution in our approach.
ER -