Method for computing parameters used in a non-homogeneous second

Details Method for computing parameters used in a non-homogeneous second Method for computing parameters used in a non-homogeneous second

1996-12-30

1998-11-24

Nguyen, Phu K.

Computer graphics processing and selective visual display system

Computer graphics processing

Graph generating

G06F 1500

Patent

active

058414428

ABSTRACT:
A method for computing input parameters used in a non-homogeneous second order perspective texture mapping process using interpolation. The present invention receives a polygon primitive (e.g., triangle) including screen display coordinates and texture map coordinates for each vertex (vmin, vmid, and vmax). Based on vertex information including perspective weights, w, screen display coordinates and texture map coordinates are determined for midpoints (i and j) of the two triangle slopes opposite the triangle's major slope. Based on a determined quadratic equation of the triangle's major slope, screen coordinates and texture map coordinates are determined at several selected points (e.g., imain, jmain, and midmain) along the major slope that corresponds to the i, j, and vmid points. From these values, quadratic coefficients a1, a2, and du.sub.-- ortho.sub.-- add are computed and also quadratic coefficients b1, b2 and dv.sub.-- ortho.sub.-- add are computed. The above values, parameters u.sub.-- main, du.sub.-- main (change in u over change in y), d2u.sub.-- main (change in .DELTA.u over change in .DELTA.y), du.sub.-- ortho (change in u over change in x), d2u.sub.-- ortho (change in .DELTA.u over change in .DELTA.x), v.sub.-- main, dv.sub.-- main (change in v over change in y), d2v.sub.-- main (change in .DELTA.v over change in .DELTA.y), dv.sub.-- ortho (change in v over change in x), and d2v.sub.-- ortho (change in .DELTA.v over change in .DELTA.x) are computed and forwarded to a non-homogenous second order perspective texture mapping process using interpolation. The above texture mapping process is extremely efficient as it is free of division operations during the interpolation.

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