By Tamiya Onodera
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Additional info for A Formal Model of Visualization in Computer Graphics Systems
This considerably reduces the computing costs. Moreover, if tp is sound for 7r, that is, ~(tp(p, ~(g))) = tAP, ~(-~'(g))), the picture of the second form is simplified to (idl A ~'(g~))-(t~(P, ~('~*(g))))" i This requires only Nt matrix-by-matrix multiplications and Np point-by-matrix multiplications. Unfortunately~ we must mention that tp is rarely sound for any geometric primitive. Chapter Implementation 5 of a Graphical Nucleus This chapter describes the implementation of a prototype system of a graphical nucleus, called pNucleus.
On the other hand~ it recognizes the difference between two types of polymarker clipping. This is presumably because the changeover from geometry to picture is more drastic in polymarker. Second, the visualizing processes in conventional systems are rigid. The system designers organize them statically and the users can never change them dynamically. They are also limitied. GKS polylines are not subject to geometric picture transformations, nor are PostScript lines subject to geometric geometry transformations.
How can they be specified? The first section deals with this subject and gives definitions to the concept of a graphical primitive. The important property of a graphical primitive, called soundness, is also identified. After defining a graphical nucleus, we formally investigate its implementability, where the primitives with the soundness property play a central role. Some optimization considerations are also mentioned. 1 Geometric and Pictorial Primitives F o r m a l i z a t i o n of G r a p h i c a l P r i m i t i v e s As in the formalization of geometric transformations and clippings, a graphical primitive is separately formalized for a geometry and for a picture.
A Formal Model of Visualization in Computer Graphics Systems by Tamiya Onodera