Algebraic Topology-Based Image Deformation: A Unified Model
In this paper, a new method for image deformation is presented. It is based upon decomposition of the deformation problem into basic physical laws. Unlike other methods that solve a differential or an energetic formulation of the physical laws involved, we encode the basic laws using computational a...
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Computer Vision Center Press
2005-11-01
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Online Access: | https://elcvia.cvc.uab.es/article/view/111 |
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doaj-972dc8d5044143e7aab36c70a46367da2021-09-18T12:40:54ZengComputer Vision Center PressELCVIA Electronic Letters on Computer Vision and Image Analysis1577-50972005-11-015310.5565/rev/elcvia.11180Algebraic Topology-Based Image Deformation: A Unified ModelLayachi BentabetDjemel ZiouIn this paper, a new method for image deformation is presented. It is based upon decomposition of the deformation problem into basic physical laws. Unlike other methods that solve a differential or an energetic formulation of the physical laws involved, we encode the basic laws using computational algebraic topology. Conservative laws are translated into exact global values and constitutive laws are judiciously approximated. In order to illustrate the effectiveness of our model, we deal with both small- and large-scale deformation, utilizing elasticity theory and the viscous fluid model, respectively. The proposed approach is validated through a series of tests on optical flow estimation and image registration.https://elcvia.cvc.uab.es/article/view/111image deformationviscous fluidelasticity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Layachi Bentabet Djemel Ziou |
spellingShingle |
Layachi Bentabet Djemel Ziou Algebraic Topology-Based Image Deformation: A Unified Model ELCVIA Electronic Letters on Computer Vision and Image Analysis image deformation viscous fluid elasticity |
author_facet |
Layachi Bentabet Djemel Ziou |
author_sort |
Layachi Bentabet |
title |
Algebraic Topology-Based Image Deformation: A Unified Model |
title_short |
Algebraic Topology-Based Image Deformation: A Unified Model |
title_full |
Algebraic Topology-Based Image Deformation: A Unified Model |
title_fullStr |
Algebraic Topology-Based Image Deformation: A Unified Model |
title_full_unstemmed |
Algebraic Topology-Based Image Deformation: A Unified Model |
title_sort |
algebraic topology-based image deformation: a unified model |
publisher |
Computer Vision Center Press |
series |
ELCVIA Electronic Letters on Computer Vision and Image Analysis |
issn |
1577-5097 |
publishDate |
2005-11-01 |
description |
In this paper, a new method for image deformation is presented. It is based upon decomposition of the deformation problem into basic physical laws. Unlike other methods that solve a differential or an energetic formulation of the physical laws involved, we encode the basic laws using computational algebraic topology. Conservative laws are translated into exact global values and constitutive laws are judiciously approximated. In order to illustrate the effectiveness of our model, we deal with both small- and large-scale deformation, utilizing elasticity theory and the viscous fluid model, respectively. The proposed approach is validated through a series of tests on optical flow estimation and image registration. |
topic |
image deformation viscous fluid elasticity |
url |
https://elcvia.cvc.uab.es/article/view/111 |
work_keys_str_mv |
AT layachibentabet algebraictopologybasedimagedeformationaunifiedmodel AT djemelziou algebraictopologybasedimagedeformationaunifiedmodel |
_version_ |
1717376911808659456 |