Image restoration using geometrically stabilized reverse heat equation
DSpace at IIT Bombay
View Archive InfoField | Value | |
Title |
Image restoration using geometrically stabilized reverse heat equation
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Creator |
NAMBOODIRI, VP
CHAUDHURI, S |
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Subject |
enhancement
algorithms diffusion filters image restoration image analysis partial differential equations diffusion equations |
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Description |
Blind restoration of blurred images is a classical ill-posed problem. There has been considerable interest in the use of partial differential equations to solve this problem. The blurring of an image has traditionally been modeled by Witkin [10] and Koenderink [4] by the heat equation. This has been the basis of the Gaussian scale space. However, a similar theoretical formulation has not been possible for deblurring of images due to the ill-posed nature of the reverse heat equation. Here we consider the stabilization of the reverse heat equation. We do this by damping the distortion along the edges by adding a normal component of the heat equation in the forward direction. We use a stopping criterion based on the divergence of the curvature in the resulting reverse heat flow. The resulting stabilized reverse heat flow makes it possible to solve the challenging problem of blind space varying deconvolution. The method is justified by a varied set of experimental results.
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Publisher |
IEEE
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Date |
2011-10-27T22:33:17Z
2011-12-15T09:12:50Z 2011-10-27T22:33:17Z 2011-12-15T09:12:50Z 2007 |
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Type |
Proceedings Paper
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Identifier |
2007 IEEE INTERNATIONAL CONFERENCE ON IMAGE PROCESSING, VOLS 1-7,2109-2112
978-1-4244-1436-9 1522-4880 http://dspace.library.iitb.ac.in/xmlui/handle/10054/16436 http://hdl.handle.net/100/2923 |
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Source |
IEEE International Conference on Image Processing (ICIP 2007),San Antonio, TX,SEP 16-19, 2007
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Language |
English
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