64Accesses
15Citations
Abstract
A method is presented for generating pairs of textures for which the statistics of intersection with any collinear set of points placed at random on either texture are the same. The constraint that such “Buffon needle statistics” be identical is stronger than identity of second-order statistics. Nonetheless, many such texture pairs are effortlessly distinguishable. An example is given of such a texture pair, whose components are composed of either congruent ellipses or circles of various radii. The discriminability of such texture pairs implies that adequate models for human texture preception must contain local nonlinearities which receive input from non-collinear points.
This is a preview of subscription content,log in via an institution to check access.
Access this article
Subscribe and save
- Get 10 units per month
- Download Article/Chapter or eBook
- 1 Unit = 1 Article or 1 Chapter
- Cancel anytime
Buy Now
Price includes VAT (Japan)
Instant access to the full article PDF.
Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.References
Buffon, G.: Solutions des problemes qui regardoient le jeu du franc carreau. Hist. Acad. Roy. Sci. 43–45 (1733)
Buffon, G.: Essai d'arithmetique morale, Supplement a l'Histoire Naturelle,IV, 46–148, § XXIII (1777). In: Oeuvres philosophes de Buffon, pp. 456–488. Piveteau, J. (ed.). Paris: Presses Universitaires de France 1954
Caelli, T., Julesz, B.: On perceptual analyzers underlying visual texture discrimination. Part I. Biol. Cybern.28, 167–175 (1978)
Caelli, T., Julesz, B., Gilbert, E.N.: On perceptual analyzers underlying visual texture discrimination. Part II. Biol. Cybernetics29, 201–214 (1978)
Julesz, B.: Visual pattern discrimination. IRE Trans. Info. TheoryIT-8, 84–92 (1962)
Julesz, B.: Experiments in the visual perception of textures. Sci. Amer.232, 34–43 (1975)
Julesz, B., Frisch, H.L., Gilbert, E.N., Shepp, L.A.: Inability of humans to discriminate between visual textures that agree in second-order statistics-revisited. Perception2, 391–405 (1973)
Julesz, B., Gilbert, E.N., Victor, J.D.: Visual discrimination of textures with identical third-order statistics. Biol. Cybern.31, 137–149 (1978)
Marr, D.: Analyzing natural images: A computational theory of texture vision. Cold Spring Harbor Symp. Quant. Biol.40, 647–662 (1976)
Underwood, E.E.: Quantitative stereology. Reading: Addison-Wesley (1970)
Author information
Authors and Affiliations
The Rockefeller University, New York, NY, USA
Jonathan D. Victor & Scott E. Brodie
- Jonathan D. Victor
You can also search for this author inPubMed Google Scholar
- Scott E. Brodie
You can also search for this author inPubMed Google Scholar
Rights and permissions
About this article
Cite this article
Victor, J.D., Brodie, S.E. Discriminable textures with identical buffon needle statistics.Biol. Cybernetics31, 231–234 (1978). https://doi.org/10.1007/BF00337094
Received:
Issue Date:
Share this article
Anyone you share the following link with will be able to read this content:
Sorry, a shareable link is not currently available for this article.
Provided by the Springer Nature SharedIt content-sharing initiative