Shape Smoothing and PDEs

Frédéric GUICHARD; Lionel MOISAN; Jean-Michel MOREL

doi:10.1016/B978-012119792-6/50097-8

Shape Smoothing and PDEs

Frédéric GUICHARD^*
, Lionel MOISAN
, Jean-Michel MOREL

^*Corresponding author for this work

Research output: Book Chapters | Papers in Conference Proceedings › Book Chapter › Research › peer-review

Abstract

This chapter presents the principles of shape smoothing-that is, the shape scale spaces and the "five principles." The "five principles" include pyramidal principle, inclusion principle, local inclusion principle, figure-background reversal principle, and isotropy. The chapter analyzes the algorithms on dynamic shape, iterated weighted median filter, heat equation on curves, renormalized heat equation on curves, and the iterated affine erosion. Bibliographic notes have been provided at the end of the chapter. © 2005 Elsevier Inc. All rights reserved.

Original language	English
Title of host publication	Handbook of Image and Video Processing
Editors	Al BOVIK
Publisher	Elsevier Inc.
Chapter	4.15
Pages	573-586
Number of pages	14
Edition	2
ISBN (Print)	9780121197926
DOIs	https://doi.org/10.1016/B978-012119792-6/50097-8
Publication status	Published - 2005
Externally published	Yes

Funding

The second and third authors gratefully acknowledge partial support by C.N.E.S (Centre National d'Etudes Spatiales), Centre National de la Recherche Scientifique, and Ministère de la Recherche et de la Technologie. This work was supported by Office of Naval Research under grant N00014-97-1-0839.

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10.1016/B978-012119792-6/50097-8

Cite this

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AB - This chapter presents the principles of shape smoothing-that is, the shape scale spaces and the "five principles." The "five principles" include pyramidal principle, inclusion principle, local inclusion principle, figure-background reversal principle, and isotropy. The chapter analyzes the algorithms on dynamic shape, iterated weighted median filter, heat equation on curves, renormalized heat equation on curves, and the iterated affine erosion. Bibliographic notes have been provided at the end of the chapter. © 2005 Elsevier Inc. All rights reserved.

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Shape Smoothing and PDEs

Abstract

Funding

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