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From: renner@adobe.com (John Renner)
Subject: Re: detecting double points in bezier curves
Message-ID: <1993Apr20.204037.20554@adobe.com>
Sender: usenet@adobe.com (USENET NEWS)
Organization: Adobe Systems Incorporated, Mountain View
References: <ia522B1w165w@oeinck.waterland.wlink.nl> <19930420.090030.915@almaden.ibm.com>
Date: Tue, 20 Apr 1993 20:40:37 GMT
Lines: 27

In article <19930420.090030.915@almaden.ibm.com> capelli@vnet.IBM.COM (Ron Capelli) writes:
>In <ia522B1w165w@oeinck.waterland.wlink.nl> Ferdinand Oeinck writes:
>>I'm looking for any information on detecting and/or calculating a double
>>point and/or cusp in a bezier curve.
>
>See:
>   Maureen Stone and Tony DeRose,
>   "A Geometric Characterization of Parametric Cubic Curves",
>   ACM TOG, vol 8, no 3, July 1989, pp. 147-163.

I've used that reference, and found that I needed to go to their
original tech report:

	Maureen Stone and Tony DeRose,
	"Characterizing Cubic Bezier Curves"
	Xerox  EDL-88-8, December 1988

This report can be obtained for free from:
Xerox Corporation
Palo Alto Research Center
3333 Coyote Hill Road
Palo Alto, California 94303
+1-415-494-4440

The TOG paper was good, but this tech report had more interesting details ;-)

-john
