I have two cubic Bezier, each with their four control points. What I'd like

to know is, if there is a quick way to check if one of the Beziers is a part

of the other, just by their four control points.

Yes. Assuming they are both unit length parameterized withQuote:>I have two cubic Bezier, each with their four control points. What I'd like

>to know is, if there is a quick way to check if one of the Beziers is a part

>of the other, just by their four control points.

control points P0,P1,P2,P3 and Q0,Q1,Q2,Q3, then they are the

same curve if the following hold (note that these conditions

are equivalent to C3 conditions):

P3=Q0

P3-P2 = Q1-Q0

R := P2+(P2-P1) = Q2-(Q3-Q2)

R - (P1+(P1-P0)) = (Q3-(Q4-Q3)) - R

If your curves do not have equal paramaterizations, then there

are scaling factors involved.

Steve

1. intersection bezier/bezier &bezier/conic ?

hi there,

I am trying to solve the problem to intersect bezier curves and bezier curves

and algebraic curves, can somebody please point me towards information that can

help me to do that efficiently?

the solution I need, needs to be precise so polygonization of the curves

doesn't work. from reading books and scanning certain magazines, I think I

should be using an algorithm that utilizes implicitization of the parametric

curves.

thanks for any kind of input

ove

2. upgrade

3. Bezier patches from network of Bezier curves

5. ** Bezier Solids (out of mult. Bezier Surfaces)

7. 2 Quadratic Bezier Curves = 1 Cubic Bezier Curve????

9. Bezier patches from network of Bezier curves

10. cubic bezier -> quadratic bezier

11. need source for bezier bezier intersection

12. algorithm to approximate a Cubic Bezier to Quadratic Bezier(s)

13. bezier reparametrization by another bezier curve?

2 post • Page:**1** of **1**