A novel model of morphological operator for 3D object

Author

Wenyu, Liu ; Hua, Li ; Guangxi, Zhu

Author_Institution

Dept. of Electron. & Inf. Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China

Volume

1

fYear

2002

fDate

28-31 Oct. 2002

Firstpage

224

Abstract

A novel model of a normal vector sphere is proposed in this paper. Two 3D object morphological addition can be calculated by merging two corresponding normal vector spheres. The important property of convex object morphological addition is proved based on integral geometry, which can le popularized to a concave set, then the two objects´ morphological operator can be calculated using the two point sets´ Minkowsky addition which have the same normal vector. A unified model of graphics morphological operators is developed; this model unifies the morphological addition, subtraction of 2D and 3D objects in algorithm theory, which lays a solid foundation for morphological operator in computer graphics.

Keywords

computational geometry; computer graphics; mathematical morphology; mathematical operators; 2D objects; 3D objects; Minkowsky addition; algorithm theory; computer graphics; concave set; integral geometry; morphological addition; morphological operator; normal vector sphere; Computer graphics; Geometry; Image analysis; Image processing; Merging; Morphology; Solid modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

TENCON '02. Proceedings. 2002 IEEE Region 10 Conference on Computers, Communications, Control and Power Engineering

Print_ISBN

0-7803-7490-8

Type

conf

DOI

10.1109/TENCON.2002.1181255

Filename

1181255