Title :
Time dependent set-theoretic operations for functionally represented solid objects
Author :
Sourin, Alexei I. ; Pasko, Alexander A.
Author_Institution :
Sch. of Appl. Sci., Nanyang Technol. Inst., Singapore
Abstract :
The uniform function representation of multidimensional geometric objects and the theory of R-functions are used to implement set-theoretic operations over time dependent solids. Traditional set-theoretic operations and introduced recursively defined swept-operations are discussed. The swept-operations are defined on the base of the concept of the moving solid envelope with the function representation closure property provided. Examples for NC machining are given
Keywords :
computational geometry; computerised numerical control; machining; set theory; solid modelling; NC machining; R-function theory; computational geometry; function representation closure property; functionally represented solid objects; moving solid envelope; multidimensional geometric objects; recursively defined swept-operations; solid modelling; time dependent set-theoretic operations; time dependent solids; uniform function representation; Animation; Cities and towns; Computational modeling; Computer simulation; Laboratories; Machining; Multidimensional systems; Robot kinematics; Shape; Solid modeling;
Conference_Titel :
TENCON '94. IEEE Region 10's Ninth Annual International Conference. Theme: Frontiers of Computer Technology. Proceedings of 1994
Print_ISBN :
0-7803-1862-5
DOI :
10.1109/TENCON.1994.369304
