Discrete Exterior Calculus for Variational Problems in Computer Vision and Graphics

Mathieu Desbrun; Anil N. Hirani; Jerrold E. Marsden

doi:10.1109/CDC.2003.1272393

Discrete Exterior Calculus for Variational Problems in Computer Vision and Graphics

Mathieu Desbrun
, Anil N. Hirani
, Jerrold E. Marsden

University of Southern California
California Institute of Technology

Research output: Contribution to journal › Conference article › peer-review

33 Citations (Scopus)

Abstract

The discrete exterior calculus (DEC) tools were developed for solving variational problems in computer vision and graphics. DEC included discrete differential forms, discrete vectors fields and the operators. The development of a discrete calculus, when combined with the methods of discrete mechanics, was discussed. Some example applications using variational problems from computer graphics and mechanics to demonstrate that formulating the problem discretely and using discrete methods for solution can lead to efficient algorithms were shown.

Original language	English
Pages (from-to)	4902-4907
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	5
DOIs	https://doi.org/10.1109/CDC.2003.1272393
Publication status	Published - 1 Jan 2003
Externally published	Yes
Event	42nd IEEE International Conference on Decision and Control, CDC 2003 - Maui, HI, United States Duration: 9 Dec 2003 → 12 Dec 2003

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10.1109/CDC.2003.1272393

Cite this

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title = "Discrete Exterior Calculus for Variational Problems in Computer Vision and Graphics",

abstract = "The discrete exterior calculus (DEC) tools were developed for solving variational problems in computer vision and graphics. DEC included discrete differential forms, discrete vectors fields and the operators. The development of a discrete calculus, when combined with the methods of discrete mechanics, was discussed. Some example applications using variational problems from computer graphics and mechanics to demonstrate that formulating the problem discretely and using discrete methods for solution can lead to efficient algorithms were shown.",

author = "Mathieu Desbrun and Hirani, \{Anil N.\} and Marsden, \{Jerrold E.\}",

year = "2003",

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language = "English",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

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note = "42nd IEEE International Conference on Decision and Control, CDC 2003 ; Conference date: 09-12-2003 Through 12-12-2003",

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AU - Hirani, Anil N.

AU - Marsden, Jerrold E.

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Y1 - 2003/1/1

N2 - The discrete exterior calculus (DEC) tools were developed for solving variational problems in computer vision and graphics. DEC included discrete differential forms, discrete vectors fields and the operators. The development of a discrete calculus, when combined with the methods of discrete mechanics, was discussed. Some example applications using variational problems from computer graphics and mechanics to demonstrate that formulating the problem discretely and using discrete methods for solution can lead to efficient algorithms were shown.

AB - The discrete exterior calculus (DEC) tools were developed for solving variational problems in computer vision and graphics. DEC included discrete differential forms, discrete vectors fields and the operators. The development of a discrete calculus, when combined with the methods of discrete mechanics, was discussed. Some example applications using variational problems from computer graphics and mechanics to demonstrate that formulating the problem discretely and using discrete methods for solution can lead to efficient algorithms were shown.

U2 - 10.1109/CDC.2003.1272393

DO - 10.1109/CDC.2003.1272393

M3 - Conference article

AN - SCOPUS:1542320113

SN - 0743-1546

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EP - 4907

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - 42nd IEEE International Conference on Decision and Control, CDC 2003

Y2 - 9 December 2003 through 12 December 2003

ER -

Discrete Exterior Calculus for Variational Problems in Computer Vision and Graphics

Abstract

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