Method for controlling concatenation of transformation matrices

Details Method for controlling concatenation of transformation matrices Method for controlling concatenation of transformation matrices

1986-09-26

1989-02-14

Harkcom, Gary V.

Boots, shoes, and leggings

340720, 364521, 382 46, G06K 932

Patent

active

048051179

ABSTRACT:
In graphics display systems the use of matrix concatenation for coordinate transformation, occasionally, will cause an overflow which may represent an out-of-bounds location of a data element. To correct the overflow problem, a number of translation shift factors are introduced for the last row of the matrix which when used to operate on matrix elements, will maintain the elements within the physical boundaries of the graphics base by preventing overflow. Additionally, a method of adjusting the clipping boundaries to increase the precision of coordinate transformations is also described. The methods of the invention may be implemented in microcode in a commercially availably graphics display system such as the IBM 5080 Graphics System.

REFERENCES:
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patent: 4706205 (1987-11-01), Akai et al.
patent: 4709231 (1987-11-01), Sakaibara et al.
IBM 5080 Principles of Operation, GA23-2012-0, pp. 1-1 through 1-16.
Fundamentals of Interactive Computer Graphics, Foley and Van Dam, 1982, pp. 245-266.

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