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

Résultats de recherche: Contribution à un journal › Article de conférence › Revue par des pairs

33 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	4902-4907
Nombre de pages	6
journal	Proceedings of the IEEE Conference on Decision and Control
Volume	5
Les DOIs	https://doi.org/10.1109/CDC.2003.1272393
état	Publié - 1 janv. 2003
Modification externe	Oui
Evénement	42nd IEEE International Conference on Decision and Control, CDC 2003 - Maui, HI, États-Unis Durée: 9 déc. 2003 → 12 déc. 2003

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10.1109/CDC.2003.1272393

Contient cette citation

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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.",

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AU - 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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DO - 10.1109/CDC.2003.1272393

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JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

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ER -

Discrete Exterior Calculus for Variational Problems in Computer Vision and Graphics

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