/[gzz]/gzz/doc/pegboard/vobscene_interp--tjl/peg.rst
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revision 1.4 by tjl, Thu Dec 19 16:18:10 2002 UTC revision 1.5 by benja, Thu Dec 19 16:27:37 2002 UTC
# Line 80  Changes Line 80  Changes
80    
81  If two completely unrelated coordinate systems are to be interpolated,  If two completely unrelated coordinate systems are to be interpolated,
82  linear (or other) interpolation of the **transformed points** shall be  linear (or other) interpolation of the **transformed points** shall be
83  used as a fallback. This means that ::  used as a fallback. This means that a point ``x`` will be transformed as::
84    
85      interp.cs(x) = (1-fract)*vs1.cs(x) + fract*vs2.cs(x)      interp.cs(x) = (1-fract)*vs1.cs(x) + fract*vs2.cs(x)
86    
87  instead of the parameterwise interpolation ::  where ``interp.cs`` is the interpolated coordinate system at fraction ``fract``
88    and ``cs(x)`` is ``x`` transformed according to ``cs``.
     interp.cs(x) = ((1-fract)*vs1.cs + fract * vs2.cs)(x)  
   
 (the equation is not good; what is meant is that a set of *parameters*  
 between ``vs1.cs`` and ``vs2.cs`` is found).  
89    
90  We shall not define the exact circumstances when this shall happen;  We shall not define the exact circumstances when this shall happen;
91  we shall define one circumstance where this shall not happen: if  we shall define one circumstance where this shall not happen: if

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