Spherical nonlinear correlations for global invariant three-dimensional object recognition

Applied Optics

Volumn 47, Issue 4, 2008, Pages

  Vallés, José J ^a   García Martínez, Pascuala ^a   Ferreira, Carlos ^a  

^a UNIVERSITY OF VALENCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; IMAGE ANALYSIS; NONLINEAR FILTERING; OBJECT RECOGNITION; OPTICAL CORRELATION;

PHASE FOURIER TRANSFORM (PHF'T); SPHERICAL CORRELATIONS;

NONLINEAR OPTICS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; COMPUTER ASSISTED DIAGNOSIS; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; METHODOLOGY; NONLINEAR SYSTEM; REPRODUCIBILITY; ROTATION; SENSITIVITY AND SPECIFICITY; STATISTICS; THREE DIMENSIONAL IMAGING;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; INFORMATION STORAGE AND RETRIEVAL; NONLINEAR DYNAMICS; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; ROTATION; SENSITIVITY AND SPECIFICITY; STATISTICS AS TOPIC;

EID: 41449107687     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.47.000A43     Document Type: Article

References (17)

1. B. Javidi, ed., Image Recognition and Classification: Algorithms, Systems, and Applications (Marcel Dekker, 2002).
2. M. Rioux, "Laser range finder based on synchronized scanners," Appl. Opt. 23, 3837-3844 (1984).
3. M. Takeda and K. Mutoh, "Fourier transform profilometry for the automatic measurement of 3-D object shapes," Appl. Opt. 22, 3977-3882 (1983).
4. J. Rosen, "Three-dimensional electro-optical correlation," J. Opt. Soc. Am. A 15, 430-436 (1998).
5. T. Poon and T. Kim, "Optical image recognition of three-dimensional objects," Appl. Opt. 38, 370-381 (1999).
6. E. Paquet, M. Rioux, and H. H. Arsenault, "Invariant pattern recognition for range images using the phase Fourier transform and a neural network," Opt. Eng. 34, 1178-1183 (1995).
7. E. Paquet, P. Garcia-Martinez, and J. Garcia, "Tridimensional invariant correlation based on phase-coded and sine-coded range images," J. Opt. 29, 35-39 (1998).
8. S. Chang, M. Rioux, and J. Domey, "Face recognition with range images and intensity images," Opt. Eng. 36, 1106-1112 (1997).
9. J. J. Esteve-Taboada and J. García, "Detection and orientation evaluation for three-dimensional objects," Opt. Commun. 217, 123-131 (2003).
10. J. Garcia, J. J. Vallés, and C. Ferreira, "Detection of three-dimensional objects under arbitrary rotations based on range images," Opt. Express 11, 3352-3358 (2003).
11. D. Lefebvre, H. H. Arsenault, P. Garcia-Martinez, and C. Ferreira, "Recognition of unsegmented targets invariant under transformations of intensity," Appl. Opt. 41, 6135-6142 (2002).
12. H. H. Arsenault and P. García-Martínez, "Intensity-invariant nonlinear filtering for detection in camouflage," Appl. Opt. 44, 5483-5490 (2005).
13. J. J. Vallés, J. García, P. García-Martínez, and H. H. Arsenault, "Three-dimensional object detection under arbitrary lighting conditions," Appl. Opt. 45, 5237-5247 (2006).
14. J. J. Valles, P. García-Martínez, J. García, and C. Ferreira, "Phase Fourier model for scale invariant three-dimensional image detection," Opt. Express 15, 7818-7825 (2007).
15. B. D. Wandelt and K. M. Górski, "Fast convolution on the sphere," Phys. Rev. D 63, 123002 (2001).
16. J. J. Sakurai, Modern Quantum Mechanics (Addison Wesley, 1985), pp. 221-223.
17. J. R. Driscoll and D. M. Healy, "Computing Fourier transforms and convolutions on the 2-sphere," Adv. Appl. Math 15, 202-250 (1994).