A geometric functional for derivatives approximation

Nir A. Sochen; Robert M. Haralick; Yehoshua Y. Zeevi

doi:10.1007/3-540-48236-9_51

A geometric functional for derivatives approximation

Nir A. Sochen, Robert M. Haralick, Yehoshua Y. Zeevi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We develop on estimation method, for the derivative field of an image based on Bayesian approach which is formulated in a geometric way. The Maximum probability configuration of the derivative field is found by a gradient descent method which leads to a non-linear diffusion type equation with added constraints. The derivatives are assumed to be piecewise smoothe and the Beltrami framework is used in the development of an adaptive smoothing process.

Original language	English
Title of host publication	Scale-Space Theories in Computer Vision - 2nd International Conference, Scale-Space 1999, Proceedings
Editors	Mads Nielsen, Peter Johansen, Ole Fogh Olsen, Joachim Weickert
Publisher	Springer Verlag
Pages	507-512
Number of pages	6
ISBN (Print)	354066498X, 9783540664987
DOIs	https://doi.org/10.1007/3-540-48236-9_51
State	Published - 1999
Externally published	Yes
Event	2nd International Conference on Scale-Space Theories in Computer Vision, 1999 - Corfu, Greece Duration: 26 Sep 1999 → 27 Sep 1999

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	1682
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	2nd International Conference on Scale-Space Theories in Computer Vision, 1999
Country/Territory	Greece
City	Corfu
Period	26/09/99 → 27/09/99

Access to Document

10.1007/3-540-48236-9_51

Cite this

Sochen, N. A., Haralick, R. M., & Zeevi, Y. Y. (1999). A geometric functional for derivatives approximation. In M. Nielsen, P. Johansen, O. F. Olsen, & J. Weickert (Eds.), Scale-Space Theories in Computer Vision - 2nd International Conference, Scale-Space 1999, Proceedings (pp. 507-512). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1682). Springer Verlag. https://doi.org/10.1007/3-540-48236-9_51

Sochen, Nir A. ; Haralick, Robert M. ; Zeevi, Yehoshua Y. / A geometric functional for derivatives approximation. Scale-Space Theories in Computer Vision - 2nd International Conference, Scale-Space 1999, Proceedings. editor / Mads Nielsen ; Peter Johansen ; Ole Fogh Olsen ; Joachim Weickert. Springer Verlag, 1999. pp. 507-512 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "We develop on estimation method, for the derivative field of an image based on Bayesian approach which is formulated in a geometric way. The Maximum probability configuration of the derivative field is found by a gradient descent method which leads to a non-linear diffusion type equation with added constraints. The derivatives are assumed to be piecewise smoothe and the Beltrami framework is used in the development of an adaptive smoothing process.",

author = "Sochen, {Nir A.} and Haralick, {Robert M.} and Zeevi, {Yehoshua Y.}",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1999.; null ; Conference date: 26-09-1999 Through 27-09-1999",

year = "1999",

doi = "10.1007/3-540-48236-9_51",

language = "אנגלית",

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Sochen, NA, Haralick, RM & Zeevi, YY 1999, A geometric functional for derivatives approximation. in M Nielsen, P Johansen, OF Olsen & J Weickert (eds), Scale-Space Theories in Computer Vision - 2nd International Conference, Scale-Space 1999, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1682, Springer Verlag, pp. 507-512, 2nd International Conference on Scale-Space Theories in Computer Vision, 1999, Corfu, Greece, 26/09/99. https://doi.org/10.1007/3-540-48236-9_51

A geometric functional for derivatives approximation. / Sochen, Nir A.; Haralick, Robert M.; Zeevi, Yehoshua Y.

Scale-Space Theories in Computer Vision - 2nd International Conference, Scale-Space 1999, Proceedings. ed. / Mads Nielsen; Peter Johansen; Ole Fogh Olsen; Joachim Weickert. Springer Verlag, 1999. p. 507-512 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1682).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Sochen NA, Haralick RM, Zeevi YY. A geometric functional for derivatives approximation. In Nielsen M, Johansen P, Olsen OF, Weickert J, editors, Scale-Space Theories in Computer Vision - 2nd International Conference, Scale-Space 1999, Proceedings. Springer Verlag. 1999. p. 507-512. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/3-540-48236-9_51

A geometric functional for derivatives approximation

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