Actuality Systems, Inc.

William V Baxter, Iii

Michael G Giovinco

A method of rasterizing a line on a display having pixels with locations defined by a polar coordinate system uses the sign of a discriminant to choose which of two candidate pixels is to be the next pixel on the rasterized line. The discriminant, which is derived from the desired line, is evaluated at a point in the neighborhood of the candidate pixels. The discriminant value depends on the local slope of the line in polar coordinates. The method divides the line into segments having selected ranges of slope and rasterizes the desired line along each segment.

Rasterization of lines in a polar pixel grid

In a cylindrical coordinate system, the dominant direction of a line changes in a predictable manner. A rasterizer uses this fact to efficiently render a desired line on a volumetric display. It does do by determining whether first and second points on the desired line are on first and second constituent line-segments of the desired line, the first and second constituent line-segments having different dominant directions. On the basis of the determination, the rasterizer renders a second voxel representative of the second point on the desired line by incrementally proceeding from a first voxel representative of the first point. The location of the second voxel is selected to minimize a distance between that second voxel and the desired line.

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Durham, NC, United States of America

William V Baxter, Iii