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Vector Matrix Multiplier for Graphics Display

IP.com Disclosure Number: IPCOM000062598D
Original Publication Date: 1986-Dec-01
Included in the Prior Art Database: 2005-Mar-09

Publishing Venue

IBM

Related People

Authors:
Jones, JW [+details]

Abstract

In interactive graphics display system transformers may be expressed as matrices to simplify arithmetic calculations. Disclosed is a method for vector matrix multiplication to transform pictures into screen coordinates. Precomposed sums of elements are stored as a look-up table in RAM (random-access memory) to be used in high speed vector matrix multiply computation. TRANSFORMATION OPERATION Coordinate transformations for graphics operations are neatly represented by matrices (see Newman and Sproull, pages 491-501, McGraw- Hill Computer Science Series). These transformations refer to scaling, rotation, translation and projection to screen coordinates of objects described by a series of vectors or end points. The following shows a representation of the transformation of (X, Y, Z, W) to screen coordinates (Xs, Ys, Zs, Ws).