Implementing continuous-scale morphology via curve evolution

Guillermo Sapiro; Ron Kimmel; Doron Shaked; Benjamin B. Kimia; Alfred M. Bruckstein

doi:10.1016/0031-3203(93)90142-J

Implementing continuous-scale morphology via curve evolution

Guillermo Sapiro, Ron Kimmel, Doron Shaked, Benjamin B. Kimia, Alfred M. Bruckstein

Research output: Contribution to journal › Article › peer-review

91 Scopus citations

Abstract

A new approach to digital implementation of continuous-scale mathematical morphology is presented. The approach is based on discretization of evolution equations associated with continuous multiscale morphological operations. Those equations, and their corresponding numerical implementation, can be derived either directly from mathematical morphology definitions or from curve evolution theory. The advantages of the proposed approach over the classical discrete morphology are demonstrated.

Original language	English (US)
Pages (from-to)	1363-1372
Number of pages	10
Journal	Pattern Recognition
Volume	26
Issue number	9
DOIs	https://doi.org/10.1016/0031-3203(93)90142-J
State	Published - Sep 1993
Externally published	Yes

All Science Journal Classification (ASJC) codes

Software
Signal Processing
Computer Vision and Pattern Recognition
Artificial Intelligence

Keywords

Curve evolution
Digital implementation
Mathematical morphology
Numerical algorithms
Partial differential equations
Scale-space

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10.1016/0031-3203(93)90142-J

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title = "Implementing continuous-scale morphology via curve evolution",

abstract = "A new approach to digital implementation of continuous-scale mathematical morphology is presented. The approach is based on discretization of evolution equations associated with continuous multiscale morphological operations. Those equations, and their corresponding numerical implementation, can be derived either directly from mathematical morphology definitions or from curve evolution theory. The advantages of the proposed approach over the classical discrete morphology are demonstrated.",

keywords = "Curve evolution, Digital implementation, Mathematical morphology, Numerical algorithms, Partial differential equations, Scale-space",

author = "Guillermo Sapiro and Ron Kimmel and Doron Shaked and Kimia, {Benjamin B.} and Bruckstein, {Alfred M.}",

year = "1993",

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AU - Sapiro, Guillermo

AU - Kimmel, Ron

AU - Shaked, Doron

AU - Kimia, Benjamin B.

AU - Bruckstein, Alfred M.

PY - 1993/9

Y1 - 1993/9

N2 - A new approach to digital implementation of continuous-scale mathematical morphology is presented. The approach is based on discretization of evolution equations associated with continuous multiscale morphological operations. Those equations, and their corresponding numerical implementation, can be derived either directly from mathematical morphology definitions or from curve evolution theory. The advantages of the proposed approach over the classical discrete morphology are demonstrated.

AB - A new approach to digital implementation of continuous-scale mathematical morphology is presented. The approach is based on discretization of evolution equations associated with continuous multiscale morphological operations. Those equations, and their corresponding numerical implementation, can be derived either directly from mathematical morphology definitions or from curve evolution theory. The advantages of the proposed approach over the classical discrete morphology are demonstrated.

KW - Curve evolution

KW - Digital implementation

KW - Mathematical morphology

KW - Numerical algorithms

KW - Partial differential equations

KW - Scale-space

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U2 - 10.1016/0031-3203(93)90142-J

DO - 10.1016/0031-3203(93)90142-J

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EP - 1372

JO - Pattern Recognition

JF - Pattern Recognition

IS - 9

ER -

Implementing continuous-scale morphology via curve evolution

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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