Combined blur and affine moment invariants and their use in pattern recognition

Abstract The paper is devoted to the recognition of objects and patterns deformed by imaging geometry as well as by unknown blurring. We introduce a new class of features invariant simultaneously to blurring with a centrosymmetric PSF and to affine transformation. As we prove in the paper, they can be constructed by combining affine moment invariants and blur invariants derived earlier. Combined invariants allow to recognize objects in the degraded scene without any restoration.

[1]  Isaac Weiss Differential invariants without derivatives , 1992, Proceedings., 11th IAPR International Conference on Pattern Recognition. Vol. III. Conference C: Image, Speech and Signal Analysis,.

[2]  J. Lu,et al.  Blurred image recognition based on phase invariants , 1999 .

[3]  Cordelia Schmid,et al.  Local Grayvalue Invariants for Image Retrieval , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Emanuele Trucco,et al.  Geometric Invariance in Computer Vision , 1995 .

[5]  Luc Van Gool,et al.  Recognizing color patterns irrespective of viewpoint and illumination , 1999, Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149).

[6]  Alireza Khotanzad,et al.  Invariant Image Recognition by Zernike Moments , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  Jan Flusser,et al.  Estimation of camera planar motion from blurred images , 2002, Proceedings. International Conference on Image Processing.

[8]  Jan Flusser,et al.  Degraded Image Analysis: An Invariant Approach , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Jan Flusser,et al.  Image features invariant with respect to blur , 1995, Pattern Recognit..

[10]  Reiner Lenz,et al.  Point configuration invariants under simultaneous projective and permutation transformations , 1994, Pattern Recognit..

[11]  Y. Bentoutou,et al.  An invariant approach for image registration in digital subtraction angiography , 2002, Pattern Recognit..

[12]  Jan Flusser,et al.  Vertex-based features for recognition of projectively deformed polygons , 1996, Pattern Recognit..

[13]  Ying Zhang,et al.  Estimation of motion parameters from blurred images , 2000, Pattern Recognit. Lett..

[14]  J Flusser,et al.  Recognition of blurred images by the method of moments , 1996, IEEE Trans. Image Process..

[15]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[16]  Majid Ahmadi,et al.  Pattern recognition with moment invariants: A comparative study and new results , 1991, Pattern Recognit..

[17]  J. Flusser,et al.  Invariant-based registration of rotated and blurred images , 1999, IEEE 1999 International Geoscience and Remote Sensing Symposium. IGARSS'99 (Cat. No.99CH36293).

[18]  Ming-Kuei Hu,et al.  Visual pattern recognition by moment invariants , 1962, IRE Trans. Inf. Theory.

[19]  L. Weisner,et al.  Foundations of the theory of algebraic invariants , 1966 .

[20]  G. Gurevich,et al.  Foundation of the Theory of Algebraic Invariants , 1965, The Mathematical Gazette.

[21]  Wesley E. Snyder,et al.  Application of Affine-Invariant Fourier Descriptors to Recognition of 3-D Objects , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[22]  Jan Flusser,et al.  Moment Forms Invariant to Rotation and Blur in Arbitrary Number of Dimensions , 2003, IEEE Trans. Pattern Anal. Mach. Intell..

[23]  Ying Zhang,et al.  Determination of blur and affine combined invariants by normalization , 2002, Pattern Recognit..

[24]  Luc Van Gool,et al.  Affine/ Photometric Invariants for Planar Intensity Patterns , 1996, ECCV.

[25]  Roland T. Chin,et al.  On Image Analysis by the Methods of Moments , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[26]  Adrian Stern,et al.  Recognition of motion-blurred images by use of the method of moments. , 2002, Applied optics.

[27]  Thomas H. Reiss,et al.  Recognizing Planar Objects Using Invariant Image Features , 1993, Lecture Notes in Computer Science.

[28]  Jan Flusser,et al.  Combined Invariants to Linear Filtering and Rotation , 1999, Int. J. Pattern Recognit. Artif. Intell..

[29]  David G. Lowe,et al.  Object recognition from local scale-invariant features , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[30]  Demetri Psaltis,et al.  Recognitive Aspects of Moment Invariants , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[31]  Ying Zhang,et al.  A new focus measure method using moments , 2000, Image Vis. Comput..

[32]  M. Teague Image analysis via the general theory of moments , 1980 .

[33]  Jan Flusser,et al.  Recognition of Images Degraded by Linear Motion Blur without Restoration , 1994, Theoretical Foundations of Computer Vision.

[34]  I. Schur,et al.  Vorlesungen über Invariantentheorie , 1968 .

[35]  Nageswara S. V. Rao,et al.  Algorithms for recognizing planar polygonal configurations using perspective images , 1992, IEEE Trans. Robotics Autom..

[36]  Jan Flusser,et al.  Pattern recognition by affine moment invariants , 1993, Pattern Recognit..

[37]  David A. Forsyth,et al.  Canonical Frames for Planar Object Recognition , 1992, ECCV.

[38]  Isaac Weiss,et al.  Projective invariants of shapes , 1988, Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition.

[39]  Thomas H. Reiss,et al.  The revised Fundamental Theorem of Moment Invariants , 1991, IEEE Trans. Pattern Anal. Mach. Intell..