Journal ArticleDOI
A complete invariant description for gray-level images by the harmonic analysis approach
TLDR
A new complete and convergent set of invariant features under planar similarities is proposed using the Analytical Fourier-Mellin Transform (AFMT), which gives a distance between the shapes which is invariant under similarities.About:
This article is published in Pattern Recognition Letters.The article was published on 1994-10-01. It has received 131 citations till now. The article focuses on the topics: Invariant (mathematics) & Fractional Fourier transform.read more
Citations
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Journal ArticleDOI
Robust and Efficient Fourier-Mellin Transform Approximations for Gray-Level Image Reconstruction and Complete Invariant Description
Stéphane Derrode,Faouzi Ghorbel +1 more
TL;DR: Experimental results on real gray-level images show that it is possible to recover an image to within a specified degree of accuracy and to classify objects reliably even when a large set of descriptors is used.
Journal ArticleDOI
A Survey of Methods for 3D Histology Reconstruction.
TL;DR: This paper reviews almost three decades of methods for 3D histology reconstruction from serial sections, used in the study of many different types of tissue, and attempts to identify the trends and challenges that the field is facing.
Journal ArticleDOI
Distance-based functions for image comparison
TL;DR: A distance-based approach to image similarity evaluation is developed and several image distances which are based on low level features are presented and the sensitivity and eAectiveness are tested on real data.
Journal ArticleDOI
Fingerprint Verification Using Spectral Minutiae Representations
Haiyun Xu,Raymond N.J. Veldhuis,Asker M. Bazen,Tom A. M. Kevenaar,Ton H. Akkermans,Berk Gökberk +5 more
TL;DR: The spectralminutiae representation introduced in this paper is a novel method to represent a minutiae set as a fixed-length feature vector, which is invariant to translation, and in which rotation and scaling become translations, so that they can be easily compensated for.
Journal ArticleDOI
Symbol and character recognition: application to engineering drawings
TL;DR: The content of this paper focuses on the computation of a new set of features allowing the classification of multioriented and multiscaled patterns based on the Fourier–Mellin Transform, which can solve the well known difficult problem of connected character recognition.
References
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Journal ArticleDOI
Application of affine-invariant Fourier descriptors to recognition of 3-D objects
TL;DR: The method of Fourier descriptors is extended to produce a set of normalized coefficients which are invariant under any affine transformation (translation, rotation, scaling, and shearing) and allows considerable robustness when applied to images of objects which rotate in all three dimensions.
A Complete SetofFourierDescriptors for Two-Dimensional Shapes
TL;DR: It is shown that the moduli of the Fourier coefficients of the parameterizing function of the boundary of an object do not contain enough information to characterize the shape of a object.
Journal ArticleDOI
A Complete Set of Fourier Descriptors for Two-Dimensional Shapes
TL;DR: In this article, a set of Fourier descriptors for two-dimensional shapes is defined and a relationship between rotational symmetries of an object and the set of integers for which the corresponding Fourier coefficients of the parameterizing function are nonzero is established.
Journal ArticleDOI
The canonical coordinates method for pattern deformation: theoretical and computational considerations
TL;DR: A method for the analysis of deformed patterns is presented and analyzed where the image is transformed into a new set of coordinates in which the deformation has a particular simple form.
Journal ArticleDOI
Motions and pattern analysis: harmonic analysis on motion groups and their homogeneous spaces
TL;DR: Fourier-like transforms that are defined on several groups of motions on the plane and on the planes itself (viewed as the homogeneous space of these motion groups) are presented and have many applications in the area of pattern recognition, detection, and the representation of motions in pattern analysis.
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Robust and Efficient Fourier-Mellin Transform Approximations for Gray-Level Image Reconstruction and Complete Invariant Description
Stéphane Derrode,Faouzi Ghorbel +1 more