Boundary element methods for solving Poisson equations in computer vision problems

Author

Gu, Gary G. ; Gennert, Michael A.

Author_Institution

Dept. of Comput. Sci., Worcester Polytech. Inst., MA, USA

fYear

1991

fDate

3-6 Jun 1991

Firstpage

546

Lastpage

551

Abstract

The boundary element method (BEM) for solving Poisson´s equations is described. Issues in BEM, such as Green´s functions, boundary conditions, evaluation of improper integrals, and continuity up to first derivative of solution functions, are discussed. BEM is compared with FEM, the finite element method, in terms of storage and time complexity. The authors discuss application to vision: height from gradient; shape from shading; surface interpolation; brightness based stereo matching; and the optical flow problem. Brief mention is made of some early experimental results on synthetic images

Keywords

boundary-elements methods; computer vision; BEM; FEM; Green´s functions; Poisson equations; boundary conditions; boundary element method; brightness based stereo matching; computer vision; continuity; finite element method; height from gradient; improper integrals; optical flow; shape from shading; surface interpolation; synthetic images; time complexity; Boundary conditions; Boundary element methods; Brightness; Finite element methods; Green´s function methods; Image motion analysis; Integral equations; Interpolation; Poisson equations; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Vision and Pattern Recognition, 1991. Proceedings CVPR '91., IEEE Computer Society Conference on

Conference_Location

Maui, HI

ISSN

1063-6919

Print_ISBN

0-8186-2148-6

Type

conf

DOI

10.1109/CVPR.1991.139751

Filename

139751