Discrete Exterior Calculus for Variational Problems in Computer Vision and Graphics

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

Discrete Exterior Calculus for Variational Problems in Computer Vision and Graphics

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

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

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 (US)
Pages (from-to)	4902-4907
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	5
State	Published - 2003
Externally published	Yes
Event	42nd IEEE Conference on Decision and Control - Maui, HI, United States Duration: Dec 9 2003 → Dec 12 2003

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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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.}",

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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.

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Y2 - 9 December 2003 through 12 December 2003

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