POV-Ray : Newsgroups : povray.advanced-users : an analytic geometry question : Re: an analytic geometry question Server Time
8 Jul 2024 19:54:25 EDT (-0400)
  Re: an analytic geometry question  
From: andrel
Date: 6 Oct 2007 18:26:35
Message: <47080C9D.1030407@hotmail.com>
honnza wrote:
> Is there an easy way to join two points by two circular arcs given their
> tangents?
> Input:
> A,B - endpoints
> a,b - their tangents (oriented parallel to the arcs)
> where A+at and B+bs are skew lines (it's easy to handle the planar case)
> Output:
> C,D - arc centers
> arc normals and radii can be calculated easily from these
> E - intersection point of both points
> together with the arcs' common tangent vector it will be used to cut the
> tori.
> 
> I think (after some analysing) it has an infinite number of solutions,
> parametrised by a real number.
> 
> 
Make a scetch of what you want. My tentative answer would be: no.
counter example A=(0,0), a=(1,1), B=(1,0), b=(1,1).
But that might be because I don't understand your question.

I also have problems with E: an intersection point of points??


Post a reply to this message

Copyright 2003-2023 Persistence of Vision Raytracer Pty. Ltd.