The direct computation of height from shading

Yvan G. Leclerc; Aaron F. Bobick

The direct computation of height from shading

Yvan G. Leclerc
, Aaron F. Bobick

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A method for recovering shape from shading that solves directly for the surface height is presented. By using a discrete formulation of the problem, it is possible to achieve good convergence behavior by employing numerical solution techniques more powerful than gradient descent methods derived from variational calculus. Because this method solves directly for height, it avoids the problem of finding an integrable surface maximally consistent with surface orientation. Furthermore, since additional constraints are not needed to make the problem well posed, a smoothness constraint is used only to drive the system towards a good solution; the weight of the smoothness term is eventually reduced to near zero. By solving directly for height, stereo processing may be used to provide initial and boundary conditions. The shape from shading technique, as well as its relation to stereo, is demonstrated on both synthetic and real imagery.

Original language	English
Title of host publication	Proc 91 IEEE Comput Soc Conf Comput Vision Pattern Recognit
Publisher	Publ by IEEE
Pages	552-558
Number of pages	7
ISBN (Print)	0818621486
State	Published - 1991
Event	Proceedings of the 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Maui, HI Duration: Jun 3 1991 → Jun 6 1991

Publication series

Name	Proc 91 IEEE Comput Soc Conf Comput Vision Pattern Recognit

Conference

Conference	Proceedings of the 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition
City	Maui, HI
Period	06/3/91 → 06/6/91

Cite this

@inproceedings{742031180e1a4cefacac68ae9b483e21,

title = "The direct computation of height from shading",

abstract = "A method for recovering shape from shading that solves directly for the surface height is presented. By using a discrete formulation of the problem, it is possible to achieve good convergence behavior by employing numerical solution techniques more powerful than gradient descent methods derived from variational calculus. Because this method solves directly for height, it avoids the problem of finding an integrable surface maximally consistent with surface orientation. Furthermore, since additional constraints are not needed to make the problem well posed, a smoothness constraint is used only to drive the system towards a good solution; the weight of the smoothness term is eventually reduced to near zero. By solving directly for height, stereo processing may be used to provide initial and boundary conditions. The shape from shading technique, as well as its relation to stereo, is demonstrated on both synthetic and real imagery.",

author = "Leclerc, \{Yvan G.\} and Bobick, \{Aaron F.\}",

year = "1991",

language = "English",

isbn = "0818621486",

series = "Proc 91 IEEE Comput Soc Conf Comput Vision Pattern Recognit",

publisher = "Publ by IEEE",

pages = "552--558",

booktitle = "Proc 91 IEEE Comput Soc Conf Comput Vision Pattern Recognit",

note = "Proceedings of the 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition ; Conference date: 03-06-1991 Through 06-06-1991",

}

TY - GEN

T1 - The direct computation of height from shading

AU - Leclerc, Yvan G.

AU - Bobick, Aaron F.

PY - 1991

Y1 - 1991

N2 - A method for recovering shape from shading that solves directly for the surface height is presented. By using a discrete formulation of the problem, it is possible to achieve good convergence behavior by employing numerical solution techniques more powerful than gradient descent methods derived from variational calculus. Because this method solves directly for height, it avoids the problem of finding an integrable surface maximally consistent with surface orientation. Furthermore, since additional constraints are not needed to make the problem well posed, a smoothness constraint is used only to drive the system towards a good solution; the weight of the smoothness term is eventually reduced to near zero. By solving directly for height, stereo processing may be used to provide initial and boundary conditions. The shape from shading technique, as well as its relation to stereo, is demonstrated on both synthetic and real imagery.

AB - A method for recovering shape from shading that solves directly for the surface height is presented. By using a discrete formulation of the problem, it is possible to achieve good convergence behavior by employing numerical solution techniques more powerful than gradient descent methods derived from variational calculus. Because this method solves directly for height, it avoids the problem of finding an integrable surface maximally consistent with surface orientation. Furthermore, since additional constraints are not needed to make the problem well posed, a smoothness constraint is used only to drive the system towards a good solution; the weight of the smoothness term is eventually reduced to near zero. By solving directly for height, stereo processing may be used to provide initial and boundary conditions. The shape from shading technique, as well as its relation to stereo, is demonstrated on both synthetic and real imagery.

UR - https://www.scopus.com/pages/publications/0026382534

M3 - Conference contribution

AN - SCOPUS:0026382534

SN - 0818621486

T3 - Proc 91 IEEE Comput Soc Conf Comput Vision Pattern Recognit

SP - 552

EP - 558

BT - Proc 91 IEEE Comput Soc Conf Comput Vision Pattern Recognit

PB - Publ by IEEE

T2 - Proceedings of the 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition

Y2 - 3 June 1991 through 6 June 1991

ER -

The direct computation of height from shading

Abstract

Publication series

Conference

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