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Graphics > Rendering > orthographic pr...
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orthographic projection of a vector on a plane

by "merlin" <aubin.benoit@[EMAIL PROTECTED] > Jan 24, 2006 at 09:04 AM

hello,
I'd like some informations on how to project a vector on a plane
defined by its normal vector. This vector can be colinear to either
vector (1, 0, 0), (0, 1, 0) or (0, 0, 1), but usually, it is an
unspecified vector (x, y, z)

Morevover, the plane coordinates define the screen coordinates.

Now imagine I already have an image drawn on the screen. How can I be
sure that the projected vector coordinates are computed in the same
system that the one of the image.

Example : screen system is defined by the upper left image point, x to
the right, y towards image bottom. If I draw a segment (point (0, 0) to
(15, 0)) on the screen, I don't want that my plane system origin is at
the upper right point of the screen.

If my normal vector is (0, 0, 1), I can define my image system with
either vectors (1, 0, 0) and (0, 0, 1) or vectors (0, 1, 0) and (-1, 0,
0)... I do not obtain the same segment position on the screen.....

If anyone could help me, ...
Thanks a lot
 




 1 Posts in Topic:
orthographic projection of a vector on a plane
"merlin" <au  2006-01-24 09:04:42 

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tan12V112 Wed Oct 15 18:45:42 CDT 2008.