mainwz3dmapstest.html

Delaunay三角形的网格剖分程序

<TITLE>WZ 1.1: 3D coordinates</TITLE>

<H1>3D Coordinates</H1>

 <P>There are a lot of predefined standard systems of 3D coordinates.
We have a single general proxy <B>wz2dmap</B> for them:

<PRE>
#include "coglib.hxx"
int main()
{
  wz3dmap c,c1,c2;
</PRE>

 <P>There are various 3D coordinates:

<PRE>
  c = new wz3Dcoordinates();
  c = new wz3Dspherical();
  c = new wz3Dcylinder();
</PRE>

<H2>Composition</H2>

 <P>They may be composed with each other at instantiation time and
later:

<PRE>
  c2 = new wz3Dsphere(c1 = new wz3Dcoordinates);
  c2-&gt;compose(c1);
</PRE>

 <P>Composition in above cases means the following order: 
 <I>x = c2(c1(u))</I>

<H2>Computation of values</H2>

 <P>The transformation may be applied in the following way:

<PRE>
  wzFloat u[3] = {0.0,0.0,0.0};
  wzFloat x[3],v[3];
  (*c)(x,u);		// means x = c(u);
  c-&gt;call(x,u);	// a synonym;
  c-&gt;inverse(v,x);	// the inverse transformation;
</PRE>

<H2>Affine transformations</H2>

 <P>Affine transformations may be added with the following operations:

<PRE>
  c-&gt;stretch(2.0);
  c-&gt;switchXY();
  c-&gt;switchYZ();
  c-&gt;switchXZ();
  c-&gt;rotateX(0.25*wzPi);
  c-&gt;rotateY(0.25*wzPi);
  c-&gt;rotateZ(0.25*wzPi);
  c-&gt;shift(0.5,0.5,0.5);
</PRE>

 <P>Affine transformations may be called multiple times, in this case
they will be composed in the order of the calls.  Order obviously
matters.

<H2>Misc</H2>

 <P>Some information about given coordinates may be obtained by

<PRE>
  c-&gt;print();
  fine();
}
</PRE>