POV-Ray : Newsgroups : povray.general : algebraic and quartic surfaces : Re: algebraic and quartic surfaces Server Time
10 Aug 2024 15:24:12 EDT (-0400)
  Re: algebraic and quartic surfaces  
From: Ralf Muschall
Date: 7 Dec 1999 18:27:54
Message: <384D975C.478F866C@t-online.de>
Mark Gordon wrote:

> number of sliders/textboxes accordingly? Algebraic surfaces in general
> don't really have control points, so the familiar click-and-drag of
> patch control points won't work.

It might be possible to fix the form of the polynomial (i.e.
degree and which coefficients are supposed to be nonzero),
then let the user move control points and solve the linear
system for the coefficients.

The real-time display might be a problem (there is no easy
parametrization even of curves of degree>2), so the program
will have to solve the polynomial just to display a wire mesh
or something similar.

Ralf


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