Geometric interpretations of algebraic invariants in images of 3D scenes

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 3168, Issue , 1997, Pages 286-299

  Barrett, Eamon B ^a   Payton, Paul M ^a   Marra, Peter J ^a   Brill, Michael H ^b  

^a LOCKHEED MARTIN   (United States)

^b SARNOFF CORPORATION   (United States)

Author keywords

Cross ratio; Invariants; Machine vision; Object recognition; Photogrammetry; Projective geometry; Projective transformations; Reconstruction; Transfer

Indexed keywords

CROSS-RATIOS; INVARIANTS; MACHINE VISION; PROJECTIVE GEOMETRY; PROJECTIVE TRANSFORMATION;

ALGEBRA; COMPUTATIONAL GEOMETRY; COMPUTER VISION; CONTENT BASED RETRIEVAL; MATHEMATICAL TRANSFORMATIONS; OBJECT RECOGNITION; OPTOELECTRONIC DEVICES; PHOTOGRAMMETRY;

THREE DIMENSIONAL;

EID: 0006266790     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.292782     Document Type: Conference Paper

References (10)

1. M.H. Brill, E.B. Barrett, "Closed-Form Extension of the Anharmonic Ratio to N-Space", Computer Vision, Graphics, and Image Processing 23, 92-98 (1983)
2. E.B. Barrett, P.M. Payton, N.N. Haag, M.H. Brill, "General Methods for Determining Projective Invariants in Imagery", Computer Vision, Graphics, and Image Processing: Image Understanding, Vol.53, No. 1, January, 1991, pp. 46-65
3. E.B. Barrett, P.M. Payton, "Projectively Invariant Structures in Multi-Sensor Imagery", SPIE Vol. 1771, Applications of Digital Image Processing XV (1992), pp. 236-251
4. E.B. Barrett, G. Gheen, P.M. Payton, "Lockheed Martin Report: Progress in Image Invariants Research 1995", 1996 ARPA Image Understanding Workshop, 12-15 February, Palm Springs, California, pp. 129-157
5. E.B. Barrett, G. Gheen, P.M. Payton, "Representation of Three-Dimensional Object Structure as Cross-Ratios of Determinants of Stereo Image Points", Applications of Invariance in Computer Vision, Second Joint European-US Workshop, Ponta Delgada, Azores, Portugal, October 1993, Springer-Verlag Lecture Notes in Computer Science No. 825, J.L. Mundy, A. Zisserman, D. Forsyth (Editors), pp. 47-68.
6. E.B. Barrett, G. Gheen, P.M. Payton, "Invariant Methods for Model Transfer and Object Reconstruction Based on Multiple Reference Images", SPIE Vol. 2421, Image and Video Processing III, pp. 191-202, 1995
7. P.F. Stiller, C.A. Asmuth, C.S. Wan, "Invariants, Indexing, and Single-View Recognition", ARPA Image Understanding Workshop, November 13-16, 1994, Monterey, California, pp. 1423-1428
8. P.F. Stiller, C.A. Asmuth, C.S. Wan, "Single View Recognition-The Perspective Case", SPIE Vol. 2896, Vision Geometry V, 6-7 August 1996, Denver, Colorado, pp. 226-235
9. H.F. Barakat, E.M. Mikhail, "Object Model Construction by Invariance and Photogrammetry", SPIE Conference on Integrating Photogrammetric Techniques with Scene Analysis and Machine Vision, Vol. 3072, Orlando, FL, April, 1997 (to appear)
10. E.B. Barrett, G. Gheen, P.M. Payton, "Algorithms for Invariant Model Transfer and Object Reconstruction", 1994 ARPA Image Understanding Workshop, 13-16 November, Monterey, California, Volume II, pp. 1429-1440.