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1972
Journal Article
Titel
Software and hardware implementation of a 4*4 matrix for coordinate transforms on graphical displays
Abstract
In the first part of this paper the relevant fundamentals of geometry for the manipulation and the display of pictures on the screen of a CRT are discussed. The usual coordinate transforms are stated first. Introducing homogeneous coordinates it is possible to use a single 4*4 matrix for the representation and computation of the rotation, scaling, translation and perspective transforms. This is very useful, because all the transforms can be computed using a single algorithm. Then different possibilities for the software implementation of the 4*4 matrix are shown, and their advantages and disadvantages are discussed. The second part of the paper presents in detail different possibilities of a hardware implementation of the 4*4 matrix, as well as the theory and construction of the computing elements which are set into operation.
Language
German