## Publica

Hier finden Sie wissenschaftliche Publikationen aus den Fraunhofer-Instituten. # 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.