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Additional resources for A Formal Model of Visualization in Computer Graphics Systems
Unlike in polyline or polymarker, a sequence of points does not flow through the main channel of the visuMizing net but defines the geometry for one restrictive picture transformation. Instead, a lattice defined by three attributes - - pattern height vector~ pattern width vector, and pattern reference point - - flows through the main channel. This modeling results from the careful reading of the corresponding part of the GKS document. The first transformation takes as a pattern the picture specified by the interior style index and replicates it along the lattice.
It then transforms the pictlzre by means of this constructed replication. Note that our formalization of attribute rendering is at the level of abstraction where it is unnecessary to describe such details as the set of attributes of a graphical primitive. 8 F i n i t e O r d e r e d Geometries A finite ordered geometry is defined to be a member of U*. 1. F O R M A L I Z A T I O N OF B A S I C C O N C E P T S IN C O M P U T E R G R A P H I C S 29 points. A sequence of points is essential in computer graphics system: graphical output primitives, windows, and clipping rectangles are all specified through a sequence of points.
The expressions that represent a geometry are called G-e¢pressions. As defined in the previous section, a restrictive geometry can only be given in pNucleus by the specific geometric primitive 7r~¢~. G-expressions will be described in the next section. The two picture transformations, geometric and restrictive, are represented by the following expressions, respectively: (*gtran*pict '