Image representation based on the affine symmetry group

AD Calway

doi:10.1109/ICIP.1996.560416

Image representation based on the affine symmetry group

AD Calway

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Abstract

The representation of 2-D signals which are symmetric under the affine group of transformations is considered. An extension of the multiresolution Fourier transform (MFT) is presented and shown to have a predictable redistribution of energy as a result of affine transformations of the input signal. An approximation based on the discrete MFT then forms the basis of a computationally efficient algorithm for estimating local affine coordinate transformations between pairs of image regions. Results of applying the technique to an image registration problem illustrate its potential.

Translated title of the contribution	Image representation based on the affine symmetry group
Original language	English
Title of host publication	Proceedings of 3rd IEEE International Conference on Image Processing
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	189-192
Number of pages	4
ISBN (Print)	0-7803-3259-8
DOIs	https://doi.org/10.1109/ICIP.1996.560416
Publication status	Published - 1996

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@inproceedings{698a1693dc4b4fc2bc847f4fa19516e0,

title = "Image representation based on the affine symmetry group",

abstract = "The representation of 2-D signals which are symmetric under the affine group of transformations is considered. An extension of the multiresolution Fourier transform (MFT) is presented and shown to have a predictable redistribution of energy as a result of affine transformations of the input signal. An approximation based on the discrete MFT then forms the basis of a computationally efficient algorithm for estimating local affine coordinate transformations between pairs of image regions. Results of applying the technique to an image registration problem illustrate its potential.",

author = "AD Calway",

year = "1996",

doi = "10.1109/ICIP.1996.560416",

language = "English",

isbn = "0-7803-3259-8",

pages = "189--192",

booktitle = "Proceedings of 3rd IEEE International Conference on Image Processing",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

}

TY - GEN

T1 - Image representation based on the affine symmetry group

AU - Calway, AD

PY - 1996

Y1 - 1996

N2 - The representation of 2-D signals which are symmetric under the affine group of transformations is considered. An extension of the multiresolution Fourier transform (MFT) is presented and shown to have a predictable redistribution of energy as a result of affine transformations of the input signal. An approximation based on the discrete MFT then forms the basis of a computationally efficient algorithm for estimating local affine coordinate transformations between pairs of image regions. Results of applying the technique to an image registration problem illustrate its potential.

AB - The representation of 2-D signals which are symmetric under the affine group of transformations is considered. An extension of the multiresolution Fourier transform (MFT) is presented and shown to have a predictable redistribution of energy as a result of affine transformations of the input signal. An approximation based on the discrete MFT then forms the basis of a computationally efficient algorithm for estimating local affine coordinate transformations between pairs of image regions. Results of applying the technique to an image registration problem illustrate its potential.

U2 - 10.1109/ICIP.1996.560416

DO - 10.1109/ICIP.1996.560416

M3 - Conference Contribution (Conference Proceeding)

SN - 0-7803-3259-8

SP - 189

EP - 192

BT - Proceedings of 3rd IEEE International Conference on Image Processing

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

Image representation based on the affine symmetry group

Abstract

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