Skip to Content.
Sympa Menu

cgal-discuss - Re: [cgal-discuss] degenerate beziers in an arrangement

Subject: CGAL users discussion list

List archive

Re: [cgal-discuss] degenerate beziers in an arrangement


Chronological Thread 
  • From: Ben Supnik <>
  • To:
  • Subject: Re: [cgal-discuss] degenerate beziers in an arrangement
  • Date: Wed, 03 Mar 2010 09:23:14 -0500

Thanks Fernando,

That's what I was afraid of....

AFAICT they would both render the same (or maybe not? I never tried
such a degenerate cubic).

Sadly they do not...the problem is that the weighting of the control points is different - more weight on the "one good" control point (and not enough on the end point colocated with the degeneracy) than in the quadratic case.

Hrm...it looks like I might be able to fudge things, if I can accept small error.

In a degenerate bezier, P1, C1, C2, P2 (p1 == c1) the curve starting at P1 is tangent to the line P1 C2.

So if I "create" a point C1 along the line P1 C2, the non-degenerate curve approaches the degenerate curve as C1 approaches P1.

If I can accept very slow exact processing and small amounts of error, I can construct a CGAL-happy bezier. :-)

cheers
Ben

--
Scenery Home Page: http://scenery.x-plane.com/
Scenery blog: http://xplanescenery.blogspot.com/
Plugin SDK: http://www.xsquawkbox.net/xpsdk/
X-Plane Wiki: http://wiki.x-plane.com/
Scenery mailing list:

Developer mailing list:




Archive powered by MHonArc 2.6.16.

Top of Page