The Radon transform and its application to shape parametrization in machine vision
Image and Vision Computing - Special issue: papers from the second Alvey Vision Conference
Invariant Image Recognition by Zernike Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Use of the Radon transform as a method of extracting information about shape in two dimensions
Image and Vision Computing
Applying algebraic and differential invariants for logo recognition
Machine Vision and Applications
A Fast Discrete Approximation Algorithm for the Radon Transform
SIAM Journal on Computing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Use of the Hough transformation to detect lines and curves in pictures
Communications of the ACM
The Trace Transform and Its Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer Vision and Image Understanding
Affine Invariant Features from the Trace Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognition of Shapes by Editing Their Shock Graphs
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale & Affine Invariant Interest Point Detectors
International Journal of Computer Vision
A fast Mellin and scale transform
EURASIP Journal on Applied Signal Processing
A new shape descriptor defined on the Radon transform
Computer Vision and Image Understanding
Journal of Visual Communication and Image Representation
Moments and Moment Invariants in Pattern Recognition
Moments and Moment Invariants in Pattern Recognition
Image retrieval based on multi-texton histogram
Pattern Recognition
A Geometric Invariant Shape Descriptor Based on the Radon, Fourier, and Mellin Transforms
ICPR '10 Proceedings of the 2010 20th International Conference on Pattern Recognition
Invariant Description and Retrieval of Planar Shapes Using Radon Composite Features
IEEE Transactions on Signal Processing - Part I
Rotation-invariant multiresolution texture analysis using Radon and wavelet transforms
IEEE Transactions on Image Processing
Identification of Reflected, Scaled, Translated, and Rotated Objects From Their Radon Projections
IEEE Transactions on Image Processing
The generalization of the R-transform for invariant pattern representation
Pattern Recognition
Amplitude-only log Radon transform for geometric invariant shape descriptor
Pattern Recognition
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A pattern descriptor invariant to rotation, scaling, translation (RST), and robust to additive noise is proposed by using the Radon, Fourier, and Mellin transforms. The Radon transform converts the RST transformations applied on a pattern image into transformations in the radial and angular coordinates of the pattern's Radon image. These beneficial properties of the Radon transform make it an useful intermediate representation for the extraction of invariant features from pattern images for the purpose of indexing/matching. In this paper, invariance to RST is obtained by applying the 1D Fourier-Mellin and discrete Fourier transforms on the radial and angular coordinates of the pattern's Radon image respectively. The implementation of the proposed descriptor is reasonably fast and correct, based mainly on the fusion of the Radon and Fourier transforms and on a modification of the Mellin transform. Theoretical arguments validate the robustness of the proposed descriptor to additive noise and empirical evidence on both occlusion/deformation and noisy datasets shows its effectiveness.