On the estimation of a convex set with corners

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 21, Issue 3, 1999, Pages 225-234

  Hall, Peter ^a   Turlach, Berwin A ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; IMAGE ANALYSIS; OPTICAL RADAR; PARAMETER ESTIMATION;

CIRCULAR DATA; CORNER-DIAGNOSTIC METHODS;

COMPUTER VISION;

EID: 0033100407     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/34.754588     Document Type: Article

References (19)

1. Y. Bresler and A. Macovski Estimation of 3-D Shape of Blood Vessels From X-Ray Images A. Duerinckx M.H. Loew and J.M.S. Prewitt eds. Proc. Int'l Symp. Medical Images and Icons. New York: IEEE Press 1984 pp. 251-253.
2. W.S. Cleveland Robust Locally Weighted Regression and Smoothing Scatterplots J. Am. Statistical Assoc. vol. 74 pp. 8298361979.
3. W.S. Cleveland and SJ. Devlin Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting J. Am. Statistical Assoc. vol. 83 pp. 596-6101988.
4. J. Cooper S. Venkatesh and L. Kitchen Early Jump-Out Corner Detectors IEEE Trans. Pattern Analysis and Machine Intelligence vol. 15 pp. 823-8281993.
5. J. Fan Local Linear Smoothers and Their Minimax Efficiency Annals of Statistics vol. 21 pp. 196-2161993.
6. N.I. Fisher P. Hall B.A. Turlach and G.S. Watson On the Estimation of a Convex Set From Noisy Data on Its Support Function J. Am. Statistical Assoc. vol. 92 pp. 84-911997.
7. U. Grenander General Pattern Theory: A Mathematical Study of Regular Structures. Oxford England: Oxford Univ. Press 1993.
8. P. Hall and B.A. Turlach On the Estimation of a Convex Set With Corners Statistics Research Report SRR 005-96 Centre for Mathematics and Its Applications School of Mathematical Sciences Australian National Univ. Canberra ACT 02001996.
9. T. Hastie and C. Loader Local Regression: Automatic Kernel Carpentry Statistical Science vol. 8 pp. 120-1431993.
10. G.T. Herman Image Reconstruction From Projections. New York: Academic Press 1980.
11. W.C. Karl S.R. Kulkarni G.C. Verghese and A.S. Willsky Local Tests for Consistency of Support Hyperplane Data J. of Mathematical Imaging and Vision vol. 6 pp. 249-2671996.
12. A.P. Korostelev and A.B. Tsybakov Minimax Linewise Algorithm for Image Reconstruction W. Hardie and L. Simar eds. Computer Intensive Methods in Statistics. Vienna: Physica-Verlag 1993 pp. 113-133.
13. A.P. Korostelev and A.B. Tsybakov Minimax Theory of Image Reconstruction. Springer Lecture Notes in Statistics 82. Berlin: Springer-Verlag 1993.
14. A.S. Lele S.R. Kulkarni and A.S. Willsky Convex-Polygonal Estimation From Support-Line Measurements and Applications to Target Reconstruction From Laser-Radar Data J. Optical Soc. Am. Series A vol. 9 pp. 1693-17141992.
15. J.L. Prince and A.S. Willsky Reconstructing Convex Sets From Support Line Measurements IEEE Trans. Pattern Analysis and Machine Intelligence vol. 12 pp. 377-3891990.
16. DJ. Rossi and A.S. Willsky Reconstruction From Projections Based on Detection and Estimation of Objects-Parts I and II: Performance Analysis and Robustness Analysis IEEE Trans. Acoustics Speech and Signal Processing vol. 32 pp. 886-9061984.
17. L.A. Santalo Integral Geometry and Geometric Probability. Reading Mass.: Addison-Wesley 1976.
18. S.S. Skiena Probing Convex Polygons With Half-Planes J. Algorithms vol. 12 pp. 359-3741991.
19. H. Stark and H. Peng Shape Estimation in Computer Tomography From Minimal Data J. Optical Soc. Am. Series A vol. 5 pp. 331-3431988.