Title :
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
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;
Conference_Titel :
TENCON '02. Proceedings. 2002 IEEE Region 10 Conference on Computers, Communications, Control and Power Engineering
Print_ISBN :
0-7803-7490-8
DOI :
10.1109/TENCON.2002.1181255
