Fast Spheres

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Date
1993
Journal Title
Journal ISSN
Volume Title
Publisher
Blackwell Science Ltd and the Eurographics Association
Abstract
A new method for generating sphere-like images, using parabolic surfaces delimited by Bresenham s circle- generation algorithm, is presented. In many cases the resultant images are indistinguishable from spheres illuminated from a given single direction. The main form of the algorithm uses first and second integer differences to minimise computation and uses typically not more than one floating-point calculation per sphere. Two variants of the algorithm are given, one optimized for the special case of the light-source being behind the view-point, and one in which values are calculated for a z-buffer hidden-surface algorithm at the same time as the pixel values. The difference formulae can be exploited by differencing hardware or digital signal processors although very little arithmetic, typically five low-weight integer operations, including address calculation operations, is required per pixel on a conventional architecture.
Description

        
@article{
10.1111:1467-8659.1230061
, journal = {Computer Graphics Forum}, title = {{
Fast Spheres
}}, author = {
Patterson, John W.
}, year = {
1993
}, publisher = {
Blackwell Science Ltd and the Eurographics Association
}, ISSN = {
1467-8659
}, DOI = {
10.1111/1467-8659.1230061
} }
Citation