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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

Statistical geometry: A tool for pattern analysis


Author: Ulf Grenander
Journal: Bull. Amer. Math. Soc. 79 (1973), 829-856
MSC (1970): Primary 68A45
DOI: https://doi.org/10.1090/S0002-9904-1973-13240-9
MathSciNet review: 0378504
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  • Siv Carlsson and Ulf Grenander, Statistical approximation of plane convex sets, Skand. Aktuarietidskr 1967 (1967), 113–127. MR 0230443
  • R. Deltheil (1920), Sur la théorie des probabilités géometriques, Université Paris, Toulouse.
  • U. Grenander (1968), A feature logic for clusters, Report no. 1, Pattern Analysis, Center for Computer and Information Sciences, Brown University, Providence, R. I.
  • U. Grenander (1970), A unified approach to pattern analysis, Advances in Computers, vol. 10, edited by W. Freiberger.
  • U. Grenander and P. Lavin (1973), Structure-preserving restoration of images, Report no. 7, Pattern Analysis, Center for Computer and Information Sciences, Brown University, Providence, R. I.
  • R. E. Kowalczyk (1972), Stochastic elastic deformation models for pattern analysis, Ph. D. Thesis, Division of Applied Mathematics, Brown University, Providence, R. I.
  • A. Rényi and R. Sulanke, Über die konvexe Hülle von 𝑛 zufällig gewählten Punkten, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 2 (1963), 75–84 (1963) (German). MR 0156262, https://doi.org/10.1007/BF00535300
  • L. A. Santaló (1936), Integralgeometrie, Hermann, Paris.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1973-13240-9