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[help-3dldf] Re: [metapost] accurate computation of path intersections (


From: Laurence Finston
Subject: [help-3dldf] Re: [metapost] accurate computation of path intersections (fwd)
Date: Tue, 11 Jan 2005 14:39:17 +0100 (MET)


---------- Forwarded message ----------
Date: Tue, 11 Jan 2005 06:31:51 -0700 (MST)
From: Nelson H. F. Beebe <address@hidden>
To: address@hidden
Subject: Re: [metapost] accurate computation of path intersections

The problem of accurate computation of path intersections is a
difficult one, and in extreme cases, errors can be large and highly
visible.  Limited precision of ordinary computer arithmetic is a
significant problem.

I recommend looking at the work of Jonathan Shewchuk at Berkeley:

        Adaptive Precision Floating-Point Arithmetic and Fast Robust
        Predicates for Computational Geometry

        http://www-2.cs.cmu.edu/~quake/robust.html

That page contains references to publications, and online versions of
articles, as well as C code for accurate solution of certain path
intersection problems.

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- Nelson H. F. Beebe                    Tel: +1 801 581 5254                  -
- University of Utah                    FAX: +1 801 581 4148                  -
- Department of Mathematics, 110 LCB    Internet e-mail: address@hidden  -
- 155 S 1400 E RM 233                       address@hidden  address@hidden -
- Salt Lake City, UT 84112-0090, USA    URL: http://www.math.utah.edu/~beebe  -
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