Perspective and The similar triangles yield the proportion: Xf _ ~f Stereographic Projections Using J --by Gabe Brisson Therefore, ECENTLYI TOOKA COUaSEin mathematical visualization singJ which dealt in large part with transformations in three-space and their applications to drawing twodimensional projections of three-dimensional objects. Some of the topics discussed in that course have been described in [3] and the transformations are described in [1]. Several programs we worked on showed graphs of the surfaces defined by two variable functions from different viewpoints. Later, I decided to try to alter one of these programs so that it would draw the graph in red and cyan, and ffyou put on 3-D glasses it would appear in 5-D. The required methods appear in computer graphics texts [2], but we will see that they are readily derived and implemented inJ. eye eye eye -z is the corrected value ofx. Notice the user-supplied variable eye, which is the distance from the eye to the screen. To find the view for the other eye, another variable, eyespr, is added to the x value, then subtracted once the final x value is reached. From Figure 2, we have xS+eYeaPr _ eye eye-z which becomes m
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Perspective and stereographic projections using J
Brisson, Gabe
Follow ACM SIGAPL APL Quote Quad
, Volume 26 (3)
Association for Computing Machinery – Mar 1, 1996
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