Date: | April 5, 2012 |
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Location: | DC 1331 |
Time: | 11:30 |
Chair: | ![]() Simon Parent |
Date: | April 12, 2012 | April 19, 2012 | April 26, 2012 | May 3, 2012 |
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Location: | DC 1331 11:30 | DC 1331 11:30 | DC 1331 11:30 | DC 1331 11:30 |
Chair: | ![]() Alex Pytel |
![]() Matthew Thorne |
![]() Grace Yao |
![]() Zainab AlMeraj |
Technical Presentation: | ![]() Lesley Northam |
![]() Simon Parent |
![]() Alex Pytel |
![]() Matthew Thorne |
![]() Stephen Mann |
Title : Perspective Projection in a Conformal Model
Abstract: I will review a method of Goldman to represent perspective projection as a versor in the conformal model of geometric algebra. This is a somewhat counter-intuitive result, since perspective projections do no preserve angles and are thus non-conformal. Goldman's technique starts with a view direction and distance to the viewing plane, from which he constructs (with heavy use of trig functions) the eye point and projection plane, as well as the versor used for the perspective projection. I then give some geometric intuition about Goldman's approach, and present a simplified variant that starts with the eye point and view direction, and constructs a versor for perspective projection without using trig functions. |
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