COMBINED INVARIANTS TO LINEAR FILTERING AND ROTATION
International Journal of Pattern Recognition and Artificial IntelligencePublished 1 December 1999
Jan Flusser, Barbara Zitová
Citations70
SJR quartileQ3
SJR score0.27
SNIP0.40
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
A new class of moment-based features invariant to image rotation, translation, scaling, contrast changes and also to convolution with an unknown PSF are introduced in this paper.
Abstract
A new class of moment-based features invariant to image rotation, translation, scaling, contrast changes and also to convolution with an unknown PSF are introduced in this paper. These features can be used for the recognition of objects captured by a nonideal imaging system of unknown position and blurring parameters.
Keywords
Computer Science
IRE Transactions on Information TheoryVisual pattern recognition by moment invariants
7,528 Citations1962Ming-Kuei Hu
It is shown that recognition of geometrical patterns and alphabetical characters independently of position, size and orientation can be accomplished and it is indicated that generalization is possible to include invariance with parallel projection.
ACM Computing SurveysA survey of image registration techniques
4,042 Citations1992Lisa Gottesfeld Brown
This paper organizes this material by establishing the relationship between the variations in the images and the type of registration techniques which can most appropriately be applied, and establishing a framework for understanding the merits and relationships between the wide variety of existing techniques.
Journal of the Optical Society of AmericaImage analysis via the general theory of moments*
2,248 Citations1980M. R. Teague
IEEE Transactions on Pattern Analysis and Machine IntelligenceInvariant image recognition by Zernike moments
1,889 Citations1990A. Khotanzad, Yaw Hua Hong
A systematic reconstruction-based method for deciding the highest-order ZERNike moments required in a classification problem is developed and the superiority of Zernike moment features over regular moments and moment invariants was experimentally verified.
IEEE Signal Processing MagazineBlind image deconvolution
1,271 Citations1996Deepa Kundur, Dimitrios Hatzinakos
The problem of blind deconvolution for images is introduced, the basic principles and methodologies behind the existing algorithms are provided, and the current trends and the potential of this difficult signal processing problem are examined.
MIT Press eBooksGeometric invariance in computer vision
1,022 Citations1992Joseph L. Mundy, Andrew Zisserman
Part 1 foundations: algebraic invariants - invariant theory and enumerative combinatorics of young tableaux, and applications: transformation invariant indexing and invariant linear methods in photogrammetry and model-matching.
Pattern RecognitionPattern recognition by affine moment invariants
753 Citations1993Jan Flusser, Tomáš Suk
The invariants from second- and third-order moments are derived and shown to be complete and to be invariant under general affine transformation and used for recognition of affine-deformed objects.
Pattern RecognitionPattern recognition with moment invariants: A comparative study and new results
509 Citations1991Saeid Belkasim, M. Shridhar +1 more
The authors show that the new method of deriving Zernike moment invariants along with the new normalization scheme yield the best overall performance even when the data are degraded by additive noise.
IEEE Transactions on Pattern Analysis and Machine IntelligenceApplication of affine-invariant Fourier descriptors to recognition of 3-D objects
392 Citations1990K. Arbter, W.E. Snyder +2 more
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.
IEEE Transactions on Pattern Analysis and Machine IntelligenceRecognitive Aspects of Moment Invariants
375 Citations1984Yaser S. Abu‐Mostafa, Demetri Psaltis
Moment invariants are evaluated as a feature space for pattern recognition in terms of discrimination power and noise tolerance and properties of complex moments are used to characterize moment invariants.
IEEE Transactions on Pattern Analysis and Machine IntelligenceDegraded image analysis: an invariant approach
229 Citations1998Jan Flusser, Tomáš Suk
This work derives the features for image representation which are invariant with respect to blur regardless of the degradation PSF provided that it is centrally symmetric, and proves that there exist two classes of such features: the first one in the spatial domain and the second in the frequency domain.
Projective invariants of shapes
157 Citations2003Ittay Weiss
The author starts from classical theories for differential and algebraic invariants not previously used in image understanding, and studies general projective transformations, which include both perspective and orthographic projections as special cases.
Optical EngineeringSurvey of recent developments in digital image restoration
144 Citations1990M. Ibrahim Sezan
A tutorial review of recent developments in restoring images that are degraded by both blur and noise and considers three fundamental aspects of digital image restoration: modeling, identification algorithms, and restoration algorithms.
Lecture notes in computer scienceCanonical frames for planar object recognition
111 Citations1992Charles A Rothwell, Andrew Zisserman +2 more
A canonical frame construction is presented for determining projectively invariant indexing functions for non-algebraic smooth plane curves that are semi-local rather than global, which promotes tolerance to occlusion.
Pattern RecognitionPoint configuration invariants under simultaneous projective and permutation transformations
42 Citations1994Reiner Lenz, Peter Meer
This work derives, using tools from representation theory, the projective and permutation invariants of the four collinear and the five coplanar points configurations, which are insensitive to both projective transformations and changes in the labeling of the points.
Pattern RecognitionVertex-based features for recognition of projectively deformed polygons
28 Citations1996Tomáš Suk, Jan Flusser
New projective triangular invariants of polygons are derived as the quotient of two different products of the areas of triangles formed by the vertices of the polygon, proved to be invariant to numbering of the vertice of thepolygon.
IEEE Transactions on Robotics and AutomationAlgorithms for recognizing planar polygonal configurations using perspective images
23 Citations1992Nageswara S. V. Rao, Weixing Wu +1 more
An optimal theta (n log n) time algorithm is presented to solve the problem of recognizing planar arrangements of objects using camera pictures taken from unknown positions, by combining ideas of cross ratios, which are well known to be invariant under perspective projections, and the first fundamental theorem of perspective projections.
Pattern Recognition LettersA note on the calculation of moments
17 Citations1994Wen-Gou Lin, Shuenn‐Shyang Wang
A corrected discrete formula for computing moments more accurately is proposed and by applying this corrected formula to calculate the seven famous moment invariants proposed by Hu in 1962, it is shown that there is no effect on the last six moment invariant due to error cancellations.
Differential invariants without derivatives
12 Citations2003Ittay Weiss
A new and more robust method of obtaining local projective and affine invariants for shape descriptors, defined by the intrinsic properties of the shape, regardless of any given coordinate system, and is thus invariant.