IEICE TRANSACTIONS on Information
Nonlinear Scale Spaces by Iterated Filtering of Images
Summary :
Computation of scale space images requires numerical integration of partial differential equations, which demands large computational costs especially in nonlinear cases. In this paper, we present a computational scheme for nonlinear scale spaces based on iterated filtering of original images. This scheme is found to be a special case of numerical integration with a particularly adapted integration steplength. We show the stability of the iteration with local windows and that with global ones and analyze the deformation of edge waveforms in the filtering. Computational costs are evaluated experimentally for both local and global windows and finally we apply the nonlinear multi-scale smoothing to contrast enhancement of images.
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- IEICE TRANSACTIONS on Information Vol.E86-D No.7 pp.1191-1197
- Publication Date
- 2003/07/01
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- Special Section PAPER (Special Issue on Multiresolution Analysis)
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Kiichi URAHAMA, Kohei INOUE, "Nonlinear Scale Spaces by Iterated Filtering of Images" in IEICE TRANSACTIONS on Information,
vol. E86-D, no. 7, pp. 1191-1197, July 2003, doi: .
Abstract: Computation of scale space images requires numerical integration of partial differential equations, which demands large computational costs especially in nonlinear cases. In this paper, we present a computational scheme for nonlinear scale spaces based on iterated filtering of original images. This scheme is found to be a special case of numerical integration with a particularly adapted integration steplength. We show the stability of the iteration with local windows and that with global ones and analyze the deformation of edge waveforms in the filtering. Computational costs are evaluated experimentally for both local and global windows and finally we apply the nonlinear multi-scale smoothing to contrast enhancement of images.
URL: https://global.ieice.org/en_transactions/information/10.1587/e86-d_7_1191/_p
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@ARTICLE{e86-d_7_1191,
author={Kiichi URAHAMA, Kohei INOUE, },
journal={IEICE TRANSACTIONS on Information},
title={Nonlinear Scale Spaces by Iterated Filtering of Images},
year={2003},
volume={E86-D},
number={7},
pages={1191-1197},
abstract={Computation of scale space images requires numerical integration of partial differential equations, which demands large computational costs especially in nonlinear cases. In this paper, we present a computational scheme for nonlinear scale spaces based on iterated filtering of original images. This scheme is found to be a special case of numerical integration with a particularly adapted integration steplength. We show the stability of the iteration with local windows and that with global ones and analyze the deformation of edge waveforms in the filtering. Computational costs are evaluated experimentally for both local and global windows and finally we apply the nonlinear multi-scale smoothing to contrast enhancement of images.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - Nonlinear Scale Spaces by Iterated Filtering of Images
T2 - IEICE TRANSACTIONS on Information
SP - 1191
EP - 1197
AU - Kiichi URAHAMA
AU - Kohei INOUE
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E86-D
IS - 7
JA - IEICE TRANSACTIONS on Information
Y1 - July 2003
AB - Computation of scale space images requires numerical integration of partial differential equations, which demands large computational costs especially in nonlinear cases. In this paper, we present a computational scheme for nonlinear scale spaces based on iterated filtering of original images. This scheme is found to be a special case of numerical integration with a particularly adapted integration steplength. We show the stability of the iteration with local windows and that with global ones and analyze the deformation of edge waveforms in the filtering. Computational costs are evaluated experimentally for both local and global windows and finally we apply the nonlinear multi-scale smoothing to contrast enhancement of images.
ER -
English
