Class of transforms invariant under shift, rotation, and scaling

Applied Optics

Volumn 29, Issue 5, 1990, Pages 704-708

  Fang, Ming ^a   Hausler, Gerd ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84975652739     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.29.000704     Document Type: Article

References (14)

1. H. Reitboeck and T. P. Brody, “A Transformation with Invariance under Cyclic Permutations for Applications in Pattern Recognition,” Inf. Control 15, 130-154 (1969).
2. M. D. Wagh and S. V. Kanetkar, “A Class of Translation Invariant Transforms,” IEEE Trans. Acoust. Speech Signal Process. 25, 203-205 (1977).
3. A. W. Lohmann, G. Weigelt, and B. Wirnitzer, “Speckle Masking in Astronomy: Triple Correlation Theory and Applications,” Appl. Opt. 22, 4028-4037 (1983).
4. Y.-N. Hsu, H. H. Arsenault, and G. April, “Rotation-Invariant Digital Pattern Recognition Using Circular Harmonic Expansion,” Appl. Opt. 21, 4012-4015 (1982).
5. N. Ferrier, “Invariant Coding in Image Processing,” M.Sc. Thesis, U. Alberta (1986).
6. M. Ferraro and T. M. Caelli, “Relationship Between Integral Transform Invariances and Lie Group Theory,” J. Opt. Soc. Am. A 5, 738-742 (1988).
7. M. K. Hu, “Visual Pattern Recognition by Moment Invariants,” IRE Trans. Inf. Theory IT-8, 179-187 (1962).
8. F. A. Sadjadi and E. L. Hall, “Three-Dimensional Moment Invariants,” IEEE Trans. Pattern Anal. Machine Intell. PAMI-2, 127-135 (1980).
9. G. L. Cagh and M. Hatamian, “Optical Character Recognition by the Method of Moments,” Comput. Vision Graphics Image Process. 39, 291-310 (1987).
10. K. T. Knox and B. J. Thompson, “Recovery of Images from Atmospherically Degraded Short Exposure Photographs,” As-tron. J. 193, L45-L48 (1974).
11. K. T. Knox, “Image Retrieval from Astronomical Speckle Patterns,” J. Opt. Soc. Am. 66, 1236-1239 (1976).
12. A. W. Lohmann, “Shift and Rotation Tolerant Image Recovery from Triple Correlations,” Optik 73, 127-131 (1986).
13. A. W. Lohmann, “Recovery of an Object, Moving at Random in Front of a Fixed Background,” Optik 73, 174-180 (1986).
14. A. W. Lohmann, “Pattern recognition based on the triple correlation,” Optik 78, 117-120 (1988).