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| Bezier Curves and Surfaces |
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HellRiZZer Suspended Member since: 3/19/2000 From: Bathurst, Australia |
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 Posted - 4/28/2002 3:33:44 AM |
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| Pretty interesting article though, but you could've gone a little more away from bicubic patches. Thus, you could of come to the generation and drawing of bezier patches with nth degree(n number of control points), though its just require a bit of mathematic calculation. Cheers.  ) " Do we need us? " |
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Conner McCloud Member since: 1/28/2001 From: Golden, CO, United States |
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 Posted - 4/28/2002 1:57:11 PM |
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| Rather nice for an introduction, although like the previous poster said, it would be nice if the article had generalized more. I haven't gotten into surfaces yet, but I know de castliau's (spelling?) algorithm is extremely simple to impliment for curves, and can create some rather interesting effects if used right. Also, there's this line: "Personally I like the cubic ones best. You can easily make circles with them, and you can control the direction of the curve independently at each control point." I agree that cubics are pretty great, especially because they let you connect curves easily. But its impossible to create a circle with a single bezier curve. You can approximate one, but I've never liked the results with less than four controlling points. How do you set yours up to use just two? CM |
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Jesper T Member since: 6/1/2001 From: Bergen, Norway |
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Posted - 5/6/2002 4:52:02 PM |
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| Sorry for slow replys, (been buisy lately). Yeah, I kind of concentrated on cubic ones since they are commonly used, and since I tried to keep it as low level mathematically as possible. What I meant by cubics and circles is that if you for example use quadratic its pretty hard to make an acurate circle, but with the cubic ones you can easily place the control points of four splines to form a circle. [edit: If you use two cubic splines you can approximate a circle pretty good with setting the control points 1.35*radius out from where it intercepts with circle, but not as good as if you use four. ]  (There is no border around this image) [edited by - Jesper T on May 6, 2002 5:11:56 PM] |
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Subotron Member since: 1/13/2002 From: Nijmegen, Netherlands |
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Posted - 9/13/2006 11:18:08 AM |
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| nice article! For a beginner on the subject (like me) it provides a great deal of information on what Bezier curves&patches can do, and how to do it. The examples you use are easy to follow, and you hardly need any mathematic knowledge to do so. A very good thing if I recall how I used to read articles about subjects like this when I was 14, and hardly had any ground knowledge. I would have been able to understand this article at that time, but now (age 20 and mathematically educated) it still provides me with knowledge I didn't have. So the balance is great! Thanks a lot. |
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