Pictorial Recognition of Objects Employing Affine Invariance in the Frequency Domain
IEEE Transactions on Pattern Analysis and Machine Intelligence
Cross-Weighted Moments and Affine Invariants for Image Registration and Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer Vision and Image Understanding
The Trace Transform and Its Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Affine Invariant Features from the Trace Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
Motion Analysis with the Radon Transform on Log-Polar Images
Journal of Mathematical Imaging and Vision
Parametric estimation of affine deformations of planar shapes
Pattern Recognition
Affine resilient image watermarking based on trace transform
PCM'10 Proceedings of the 11th Pacific Rim conference on Advances in multimedia information processing: Part I
One-dimensional mapping for estimating projective transformations
IEEE Transactions on Image Processing
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In this paper, we assume that we are given the images of two segmented objects, one of which may be an affinely distorted version of the other, and wish to recover the values of the parameters of the affine transformation between the two images. The images may also differ by the overall level of illumination. The multiplicative constant of such difference may also be recovered. We present a generic theoretical framework to solve this problem. In terms of this framework, other proposed methods may be interpreted. We show how, in this framework, one can recover the affine parameters in a way that is robust to various effects, such as occlusion and illumination variation. The proposed method is generic enough to be applicable also to matching two images that do not depict the same scene or object.