Evolution equations for continuous-scale morphology

Author

Brockett, Roger W. ; Maragos, Petros

Author_Institution

Div. of Appl. Sci., Harvard Univ., Cambridge, MA, USA

Volume

3

fYear

1992

fDate

23-26 Mar 1992

Firstpage

125

Abstract

Several nonlinear partial differential equations that model the scale evolution associated with continuous-space multiscale morphological erosions, dilations, openings, and closings are discussed. These systems relate the infinitesimal evolution of the multiscale signal ensemble in scale space to a nonlinear operator acting on the space of signals. The type of this nonlinear operator is determined by the shape and dimensionality of the structuring element used by the morphological operators, generally taking the form of nonlinear algebraic functions of certain differential operators

Keywords

image processing; mathematical morphology; nonlinear differential equations; closings; continuous-scale morphology; differential operators; dilations; evolution equations; morphological operators; multiscale morphological erosions; multiscale signal ensemble; nonlinear algebraic functions; nonlinear operator; nonlinear partial differential equations; openings; scale evolution; scale space; structuring element; Computer vision; Evolution (biology); Image edge detection; Image motion analysis; Morphology; Nonlinear filters; Partial differential equations; Shape; Signal analysis; Smoothing methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on

Conference_Location

San Francisco, CA

ISSN

1520-6149

Print_ISBN

0-7803-0532-9

Type

conf

DOI

10.1109/ICASSP.1992.226260

Filename

226260