Affine invariant wavelet transform

Author

Ha, Victor H S ; Moura, Jose M F

Author_Institution

Dept. of Electr. & Comput. Eng., Carnegie Mellon Univ., Pittsburgh, PA, USA

Volume

3

fYear

2001

fDate

2001

Firstpage

1937

Abstract

We present a two-dimensional wavelet transform that is invariant to affine distortions of the input signal. Affine distortions include geometric effects such as translation, reflection, uniform and anisotropic scaling, rotation, and shearing of the input signal. Invariance of the wavelet transform to affine distortions is achieved in our work by developing an algorithm that reduces replicas of a signal related by affine distortions to a unique prototype signal. The affine invariant wavelet transform is then defined as the two-dimensional wavelet transform of the prototype signal, which provides the wavelet coefficients that are invariant to affine distortions of the input signal. We describe our algorithm and show examples that demonstrate our claims

Keywords

image processing; invariance; wavelet transforms; 2D wavelet transform; affine distortions; affine invariant wavelet transform; anisotropic scaling; image processing; reflection; rotation; shearing; translation; two-dimensional wavelet transform; uniform scaling; wavelet coefficients; Anisotropic magnetoresistance; Discrete wavelet transforms; Nonlinear distortion; Prototypes; Reflection; Shearing; Signal processing algorithms; Wavelet coefficients; Wavelet packets; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.941325

Filename

941325