From: Stephen Vavasis Newsgroups: sci.math.research Subject: Re: Conformal mapping Date: Mon, 23 Mar 1998 15:05:51 -0500 The Schwarz-Christoffel toolbox for Matlab developed by T. Driscoll can conformally map the unit disk onto a simple polygon. So if you can represent your boundary curve as a polygon (finite number of straight segments), this might solve your problem. See http://amath-www.colorado.edu/appm/faculty/tad/ -- Steve Vavasis Mr S. Sisavath wrote: > > Hello, > > I am looking for any algorithm enabling the conformal mapping of > the interior of a unit disk |w|<1 onto the interior of a curve C > in the z-plane. > > I am looking for the mapping function f so that > z=f(w). > The curve z being a curve obtained graphically, that means that no > equation is provided to describe the curve C. > > If you have any clue, any advice to tackle the problem, > feel free to e-mail me > > Mr. Sourith SISAVATH > Imperial College of London > Dept of Earth Resources Engineering > s.sisavath@ic.ac.uk ============================================================================== From: fateman@peoplesparc.cs.berkeley.edu (Richard J. Fateman) Newsgroups: sci.math.symbolic Subject: Re: Conformal mapping in Maple Date: 24 Apr 1998 23:33:01 GMT In article <6hr4rr$qaq@newsfeeds.rpi.edu>, Wm. Randolph U Franklin wrote: > > >Does anyone know of a Maple routine to find a conformal map that >transforms two nested polygons to an annulus? ... >I'm aware of the theoretical discussion of this transformation in >books on conformal mapping, but was hoping not to have to >implement it myself. I think you will find Schwarz-Christoffel (sp?) transformation code in numerical libraries (maybe netlib.org). There have been several projects involving conformal mapping done at UC Berkeley, but using lisp, and also using graphics packages that are now unsupported. -- Richard J. Fateman fateman@cs.berkeley.edu http://http.cs.berkeley.edu/~fateman/