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Graphic Objects: A Mathematical Abstract Model for Computer Graphics
Author(s) -
Torres J.C.,
Clares B.
Publication year - 1993
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.1250311
Subject(s) - computer science , computer graphics (images) , computer graphics , graphics , object (grammar) , vector graphics , generalization , visualization , set (abstract data type) , abstraction , rendering (computer graphics) , artificial intelligence , mathematics , programming language , mathematical analysis , philosophy , epistemology
Abstract This paper defines an abstract mathematical model for graphic systems which incorporates modelling operations. The model is based on the “graphic object” concept. A graphic object is an abstraction of a graphic entity. Graphic objects are a generalization of the Fiume graphic object concept, supporting modelling operations, which give the set of graphic objects an algebraic structure of vector space and booelan algebra. Fiume visualization formalism can be applied to graphic objects. Further, product operations of graphic objects are defined, which are a generalization of solid sweep operations. Graphic object products may be used to build common 2D and 3D objects such as triangles, squares, cubes, circles and spheres from lines and arcs.