2D Circles and Triangles
Author
Anyone like to recommend an optimum way of drawing a 2D circle with triangles
(least most triangles and still looks good)?
I have two ways I''m considering. The easiest and simplest way is slicing the
circle into triangle pies from the center. This would probably require a lot
of triangle slices to get the circle smooth. The other way is starting with
two large triangles at the top and bottom poles of the circle (like a diamond)
and continually dividing the space in the corners into triangles until it
appears smooth.
Any suggestions?
Wayfarer
Maybe draw a triangle, rotate it x number of degrees about one of the vertices then redraw... repeat (360/x) times... of course you''ll need to make the edge farthest from the rotation vertex (circumference / (360/x)) in length....
40
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40
www.databyss.com
www.omlettesoft.com
"Don''t meddle in the affairs of wizards, for they are subtle and quick to anger."
quote:Original post by Wayfarer
Anyone like to recommend an optimum way of drawing a 2D circle with triangles (least most triangles and still looks good)?
I have two ways I''m considering. The easiest and simplest way is slicing the circle into triangle pies from the center. This would probably require a lot of triangle slices to get the circle smooth. The other way is starting with two large triangles at the top and bottom poles of the circle (like a diamond) and continually dividing the space in the corners into triangles until it appears smooth.
Actually, number of triangles appears to be (almost) the same for both ways.
Anyway - if you want to subdivide the circle (I mean - circular curve) into N pieces, you need >=(N-2) triangles.
Author
Serge K,
So, given any curved surface, if I draw a line from one endpoint to the
other endpoint, and then both endpoints to the center of the curve,
I have my triangle representation of that curved surface?
Wayfarer
Edited by - Wayfarer on July 23, 2000 5:07:01 PM
So, given any curved surface, if I draw a line from one endpoint to the
other endpoint, and then both endpoints to the center of the curve,
I have my triangle representation of that curved surface?
Wayfarer
Edited by - Wayfarer on July 23, 2000 5:07:01 PM
I think Serge''s formula comes from the fact that you have one piece of a three sided triangle describing the edge of the circle, and they will undoubtably share some sides, I''m not too sure though.
Anyway...
Have you considered implicit surfaces?
-Mezz
Anyway...
Have you considered implicit surfaces?
-Mezz
Author
Mezz,
Nope I haven''t. I did a quick search for polygon triangulation and that topic
came up a few, but it seemed a bit out of my league. I didn''t find anything
that focused on 2D circles and triangles specifically, but I think I will go
with the simple method of triangle slices around a center point. Thanks.
Wayfarer
Nope I haven''t. I did a quick search for polygon triangulation and that topic
came up a few, but it seemed a bit out of my league. I didn''t find anything
that focused on 2D circles and triangles specifically, but I think I will go
with the simple method of triangle slices around a center point. Thanks.
Wayfarer
This topic is closed to new replies.
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