A Formal Model of Visualization in Computer Graphics Systems by Tamiya Onodera

By Tamiya Onodera

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16 follows Theorem 4, which requires that Dom rl = Dom p(1 < i < n - 1). All these conditions are satisfied by the definition of replication. 16 holds. We assume that i=2 without loss of generality. 4(a) shows a picture p and two survergent correspondences rl and r2; p assigns a single color in C to a circular region in U, while rl and r2 are simply translations of a square. We intentionally make the domain of p not equal to that of rl, and the images of rx and r2 overlapping. 4(b) and (c). The image of r~ obscures the one of r2 in r2 • ra, and this causes a circle to be partly obscured in (r2 @ ra)'(p).

The vector of translation is A~P, where A is the a*fention poin~ of the pattern picture. 5) since * p i c t * t r a n assumes that the pattern Lies within [0, 1] x [0, 1]. The element ( a t t e n p ) in the control list overrides the default and changes the attention point to the specified point. 5. 3 . I))) *A ,(*mat*seal . 2)) . 8 . 2))) . 5. The picture referred to as *A was defined within [0, 1] × [0, 1]. 1), accordingly. 2 Pictorlalizing a Lattice Geometry When a supplied geometry is a lattice geometry, the returned P-expression is considered to represent the picture constructed by pasting the pattern to each cell of a lattice geometry.

In addition, it prevents new primitives from being adding without affecting other parts of the system. Finally, the pictorializing transformation is so descriptive that it can specify every type of attribute rendering process, and so abstract that it can do so in a unified manner. Chapter 4 Graphical Nucleus Conventional systems realize only a part of the functionality of a visualizing net in their visualizing process. GKS and Postscript only allow either geometry transformations or picture transformations, and their viewing pipeline is rigid and dependent upon a graphical primitive.

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