From FNS to HEIV: A Link between Two Vision Parameter Estimation Methods

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 26, Issue 2, 2004, Pages 264-268

  Chojnacki, Wojciech ^a,b   Brooks, Michael J ^a,b   Van den Hengel, Anton ^a,b   Gawley, Darren ^a,b  

^a UNIVERSITY OF ADELAIDE   (Australia)

^b CRC for Sensor Sign/Info Proc   (Australia)

Author keywords

(Un)constrained minimization; Epipolar equation; Fundamental matrix; Maximum likelihood; Statistical methods

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CAMERAS; COMPUTER SIMULATION; COMPUTER VISION; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; JITTER; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING; STATISTICAL METHODS; VECTORS;

(UN)CONSTRAINED MINIMIZATION; EPIPOLAR EQUATIONS; FUNDAMENTAL MATRIX; MAXIMUM LIKELIHOOD;

PARAMETER ESTIMATION;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; EVALUATION; IMAGE ENHANCEMENT; IMAGE SUBTRACTION; INFORMATION RETRIEVAL; MATHEMATICAL COMPUTING; METHODOLOGY; PHOTOGRAPHY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING; STATISTICAL MODEL; THREE DIMENSIONAL IMAGING; VALIDATION STUDY;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; INFORMATION STORAGE AND RETRIEVAL; MODELS, STATISTICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PATTERN RECOGNITION, AUTOMATED; PHOTOGRAMMETRY; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED; SUBTRACTION TECHNIQUE;

EID: 0742268830     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2004.1262197     Document Type: Article

References (17)

1. O.D. Faugeras, Three-Dimensional Computer Vision: A Geometric Viewpoint. Cambridge, Mass.: MIT Press, 1993.
2. M.J. Brooks, W. Chojnacki, and L. Baumela, "Determining the Egomotion of an Uncalibrated Camera from Instantaneous Optical Flow," J. Optical Soc. Am. A, vol. 14, no. 10, pp. 2670-2677, 1997.
3. A. Fitzgibbon, M. Pilu, and R.B. Fisher, "Direct Least Square Fitting of Ellipses," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 21, no. 5, pp. 476-480, May 1999.
4. K. Kanatani, Statistical Optimization for Geometric Computation: Theory and Practice. Amsterdam: Elsevier, 1996.
5. W. Chojnacki, M.J. Brooks, A. van den Hengel, and D. Gawley, "On the Fitting of Surfaces to Data with Covariances," IEEE Trans, Pattern Analysis and Machine Intelligence, vol. 22, no. 11, pp. 1294-1303, Nov. 2000.
6. M.J. Brooks, W. Chojnacki, D. Gawley, and A. van den Hengel, "What Value Covariance Information in Estimating Vision Parameters?" Proc. Eighth Int'l Conf. Computer Vision, vol. 1, pp. 302-308, 2001.
7. Y. Leedan and P. Meer, "Heteroscedastic Regression in Computer Vision: Problems with Bilinear Constraint," Int'l J. Computer Vision, vol. 37, no. 2, pp. 127-150, 2000.
8. B. Matei and P. Meer, "A General Method for Errors-in-Variables Problems in Computer Vision," Proc. IEEE Conf. Computer Vision and Pattern Recognition, vol. 2, pp. 18-25, 2000.
9. B. Matei, "Heteroscedastic Errors-in-Variables Models in Computer Vision," PhD dissertation, Dept. Electrical and Computer Eng., Rutgers Univ., New Brunswick, N.J., May 2001, http://www.caip.rutgers.edu/riul/research /theses.html.
10. W. Chojnacki, M.J. Brooks, A. van den Hengel, and D. Gawley, "A New Approach to Constrained Parameter Estimation Applicable to Some Computer Vision Problems," Proc. Statistical Methods in Video Processing Workshop, held in conjunction with ECCV2002, pp. 43-48, 2002.
11. A. van den Hengel, W. Chojnacki, M.J. Brooks, and D. Gawley, "A New Constrained Parameter Estimator: Experiments in Fundamental Matrix Computation," Proc. 13th British Machine Vision Conf., vol. 2, pp. 468-476, 2002.
12. W. Chojnacki, M.J. Brooks, A. van den Hengel, "Rationalising the Renormalisation Method of Kanatani," J. Math. Imaging and Vision, vol. 14, no. 1, pp. 21-38, 2001.
13. W. Chojnacki, M.J. Brooks, A. van den Hengel, and D. Gawley, "Revisiting Hartley's Normalized Eight-Point Algorithm," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 25, no. 9, pp. 1172-1177, Sept. 2003.
14. B.N. Parlett, The Symmetric Eigenvalue Problem. Englewood Cliffs, N.J.: Prentice-Hall, 1980.
15. R. Halír and J. Flusser, "Numerically Stable Direct Least Squares Fitting of Ellipses," Proc. Sixth Int'l Conf. Computer Graphics and Visualization, vol. 1, pp. 125-132, 1998, http://wscg.zcu.cz/wscg98/wscg98.htm.
16. http://www.caip.rutgers.edu/riul/research/code.html. 2003.
17. http://www.cs.adelaide.edu.au/̃hengel/Vision/Code/index.html. 2003.