Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-26T06:08:08.940Z Has data issue: false hasContentIssue false

Linear-Intercept distributions do not characterize plane sets

Published online by Cambridge University Press:  14 July 2016

C. L. Mallows
Affiliation:
Bell Telephone Laboratories, New Jersey
J. M. C. Clark
Affiliation:
Bell Telephone Laboratories, New Jersey

Extract

All sets mentioned in this paper will be assumed to be appropriately measurable without further comment, and events of probability zero will be neglected. We start with a fixed (large, convex) subset R of the plane, termed the “retina”.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Nagy, G. (1968) State of the art in pattern recognition. Proc. IEEE 56, 836862.Google Scholar
[2] Novikoff, A. B. J. (1962) Integral geometry as a tool in pattern perception. Principles of Self-Organization, 347368, ed. Von Foerster, and Zopf, , Pergamon Press.Google Scholar
[3] Santaló, L. A. (1953) Introduction to Integral Geometry. Hermann and Co., Paris.Google Scholar
[4] Steppe, J. A. and Wong, E. (1968) Invariant recognition of geometric shapes. Hawaii Internat. Conf. on Methodologies of Pattern Recognition. To be published by Academic Press.Google Scholar