A probabilistic approach for solving poisson equations in computer vision problems

Jie Tian; Juwei Tai; Xinsheng Zhang

doi:10.1109/ICPR.1992.202092

A probabilistic approach for solving poisson equations in computer vision problems

Jie Tian
, Juwei Tai
, Xinsheng Zhang

CAS - Institute of Automation

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

1 Scopus citations

Abstract

In this paper, we describe the probabilistic approach to solve Poisson equations and how this method may be used to solve computer vision problems. We also give a complexity analysis of this method and compare our method with the BEM, FEM and FDM in terms of storage and time complexity. Some examples are given and show our method is better than BEM, FEM and FDM in certain aspects. Finally, we used the probabilistic approach for solving several computer vision problems, such as shape from shading, surface interpolation and brightness based stereo vision, the experimental results show that the probabilistic approach is very effective.

Original language	English
Title of host publication	Conference C
Subtitle of host publication	Image, Speech and Signal Analysis
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	737-740
Number of pages	4
ISBN (Electronic)	0818629207
DOIs	https://doi.org/10.1109/ICPR.1992.202092
State	Published - 1992
Externally published	Yes
Event	11th IAPR International Conference on Pattern Recognition, IAPR 1992 - The Hague, Netherlands Duration: 30 Aug 1992 → 3 Sep 1992

Publication series

Name	Proceedings - International Conference on Pattern Recognition
Volume	3
ISSN (Print)	1051-4651

Conference

Conference	11th IAPR International Conference on Pattern Recognition, IAPR 1992
Country/Territory	Netherlands
City	The Hague
Period	30/08/92 → 3/09/92

Access to Document

10.1109/ICPR.1992.202092

Cite this

@inproceedings{9637d451e24044abb8ef594f9c426dbf,

title = "A probabilistic approach for solving poisson equations in computer vision problems",

abstract = "In this paper, we describe the probabilistic approach to solve Poisson equations and how this method may be used to solve computer vision problems. We also give a complexity analysis of this method and compare our method with the BEM, FEM and FDM in terms of storage and time complexity. Some examples are given and show our method is better than BEM, FEM and FDM in certain aspects. Finally, we used the probabilistic approach for solving several computer vision problems, such as shape from shading, surface interpolation and brightness based stereo vision, the experimental results show that the probabilistic approach is very effective.",

author = "Jie Tian and Juwei Tai and Xinsheng Zhang",

note = "Publisher Copyright: {\textcopyright} 1992 IEEE.; 11th IAPR International Conference on Pattern Recognition, IAPR 1992 ; Conference date: 30-08-1992 Through 03-09-1992",

year = "1992",

doi = "10.1109/ICPR.1992.202092",

language = "英语",

series = "Proceedings - International Conference on Pattern Recognition",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "737--740",

booktitle = "Conference C",

address = "美国",

}

Tian, J, Tai, J & Zhang, X 1992, A probabilistic approach for solving poisson equations in computer vision problems. in Conference C: Image, Speech and Signal Analysis. Proceedings - International Conference on Pattern Recognition, vol. 3, Institute of Electrical and Electronics Engineers Inc., pp. 737-740, 11th IAPR International Conference on Pattern Recognition, IAPR 1992, The Hague, Netherlands, 30/08/92. https://doi.org/10.1109/ICPR.1992.202092

A probabilistic approach for solving poisson equations in computer vision problems. / Tian, Jie; Tai, Juwei; Zhang, Xinsheng.
Conference C: Image, Speech and Signal Analysis. Institute of Electrical and Electronics Engineers Inc., 1992. p. 737-740 (Proceedings - International Conference on Pattern Recognition; Vol. 3).

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

TY - GEN

T1 - A probabilistic approach for solving poisson equations in computer vision problems

AU - Tian, Jie

AU - Tai, Juwei

AU - Zhang, Xinsheng

PY - 1992

Y1 - 1992

N2 - In this paper, we describe the probabilistic approach to solve Poisson equations and how this method may be used to solve computer vision problems. We also give a complexity analysis of this method and compare our method with the BEM, FEM and FDM in terms of storage and time complexity. Some examples are given and show our method is better than BEM, FEM and FDM in certain aspects. Finally, we used the probabilistic approach for solving several computer vision problems, such as shape from shading, surface interpolation and brightness based stereo vision, the experimental results show that the probabilistic approach is very effective.

AB - In this paper, we describe the probabilistic approach to solve Poisson equations and how this method may be used to solve computer vision problems. We also give a complexity analysis of this method and compare our method with the BEM, FEM and FDM in terms of storage and time complexity. Some examples are given and show our method is better than BEM, FEM and FDM in certain aspects. Finally, we used the probabilistic approach for solving several computer vision problems, such as shape from shading, surface interpolation and brightness based stereo vision, the experimental results show that the probabilistic approach is very effective.

UR - https://www.scopus.com/pages/publications/85019584762

U2 - 10.1109/ICPR.1992.202092

DO - 10.1109/ICPR.1992.202092

M3 - 会议稿件

AN - SCOPUS:85019584762

T3 - Proceedings - International Conference on Pattern Recognition

SP - 737

EP - 740

BT - Conference C

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 11th IAPR International Conference on Pattern Recognition, IAPR 1992

Y2 - 30 August 1992 through 3 September 1992

ER -

A probabilistic approach for solving poisson equations in computer vision problems

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