ON THE CONSTRUCTION OF MORPHOLOGICAL OPERATORS WHICH ARE SELF-DUAL AND ACTIVITY-EXTENSIVE

被引：6

作者：

HEIJMANS, HJAM

机构：

[1] CWI, 1090 GB Amsterdam

来源：

SIGNAL PROCESSING | 1994年 / 38卷 / 01期

关键词：

MATHEMATICAL MORPHOLOGY; MORPHOLOGICAL FILTER; ITERATION; CENTER; FINITE WINDOW OPERATOR; ACTIVITY ORDERING; ACTIVITY-EXTENSIVE OPERATOR; SELF-DUAL OPERATOR; POINTWISE MONOTONE; SWITCH OPERATOR;

D O I：

10.1016/0165-1684(94)90053-1

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper presents a systematic method to construct self-dual increasing morphological operators on P(Z(d)) using the concept of a switch operator. Furthermore, it shows how to modify a self-dual operator in such a way that the sequence of iterates of the resulting modified operator converges pointwise monotone to a self-dual morphological filter. The approach is based on the concept of the centre operator and the activity ordering.

引用

页码：13 / 19

页数：7

共 7 条

[1]

Heijmans, Iteration of morphological transformations, CWI Quart., 2, pp. 19-36, (1989)

[2]

Heijmans, Morphological Image Operators, (1994)

[3]

Heijmans, Serra, Convergence continuity and iteration in mathematical morphology, Journal of Visual Communication and Image Representation, 3, pp. 84-102, (1992)

[4]

Maisonneuve, Ordinaux transfinis et sur- (ou sous) potentes, Technical Report N780, (1982)

[5]

Meyer, Serra, Contrasts and activity lattice, Signal Processing, 16, 4, pp. 303-317, (1989)

[6]

Ronse, Heijmans, The algebraic basis of mathematical morphology — Part II: Openings and closings, Comput. Vision Graphics Image Processing: Image Understanding, 54, pp. 74-97, (1991)

[7]

Serra, Image Analysis and Mathematical Morphology. II: Theoretical Advances, (1988)

← 1 →