Actuality Systems, Inc.

Michael G Giovinco

William V Baxter, Iii

Gregg E Favalora

Joshua Napoli

Andrew G LoRe

A method for rapid rendering of a desired line in a volumetric display having a rotatable screen includes stepping the rotatable screen through a sequence of angular positions and, at each angular position, rendering, on the rotatable screen, a rasterized approximation of a line segment containing an intersection of the desired line and the rotatable screen.

Line drawing for a volumetric display

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.

Rasterization of lines in a cylindrical voxel grid

A three-dimensional display system is disclosed which includes a display target that receives a projected image and that rotates about an axis to form a three-dimensional image from the projected image. The display target has front and back surfaces that meet at locations relative to the axis to form tapered edges. Scanning optics directs light to the display target to form the projected image. A controller controls operation of the display target and the scanning optics.

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Cambridge, MA, United States of America

Michael G Giovinco