Method and means for tetrahedron/octahedron packing and tetrahed

Details Method and means for tetrahedron/octahedron packing and tetrahed Method and means for tetrahedron/octahedron packing and tetrahed

1992-12-23

1995-02-14

Rogers, Scott A.

Facsimile and static presentation processing

Natural color facsimile

Color correction

358523, 358525, H04N 146

Patent

active

053900359

ABSTRACT:
The invention concerns the conversion of an input color to an output color using a multi-variable function having an input domain in a first three-dimensional color space and output range in a second m-dimensional color space. The conversion from input to output color subdivides the input domain into polyhedra defined by planar grids of points connected to form a plurality of triangles. The planar grids are projected into the remaining dimension of the function domain. When an input color value is presented, the multi-variable function is used to approximate the input value by computing an approximation of the multi-variable function, which provides a value in the output range. A tetrahedron containing the input color value is extracted from the function domain. The values of the multi-variable function at the tetrahedron vertices are obtained by interpolation. The tetrahedron is subdivided into subtetrahedra. The volumes of the subtetrahedra are calculated and multiplied by the function values. The products are added together and normalized to the volume of the extracted tetrahedron to produce an approximation of the input color. The approximation is provided as the value of the output color.

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