/[gzz]/gzz/Documentation/Manuscripts/Irregu/irregu.tex
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revision 1.44 by tjl, Fri Nov 15 09:01:44 2002 UTC revision 1.45 by jvk, Fri Nov 15 12:22:36 2002 UTC
# Line 291  To start off, assume that we are drawing Line 291  To start off, assume that we are drawing
291  smooth parametric curve $C = (x(t), y(t))$. The thickness of the roughness of the  smooth parametric curve $C = (x(t), y(t))$. The thickness of the roughness of the
292  edge is assumed to be small compared  edge is assumed to be small compared
293  to the curvature of $C$.  to the curvature of $C$.
294    % XXX
295    
296  Locally, we can approximate the curve by a point and a normal vector.  Locally, we can approximate the curve by a point and a normal vector.
297  The resulting shape of the edge should be continuous w.r.t.~both the local  The resulting shape of the edge should be continuous w.r.t.~both the local
# Line 553  Curved lines: \\ Line 554  Curved lines: \\
554    on straight edges) dicing the tearing line does not prevent discontinuities:    on straight edges) dicing the tearing line does not prevent discontinuities:
555    straight lines have no perspective, but all circle sections have    straight lines have no perspective, but all circle sections have
556    perspective distortion relative to the ratio of outer and inner radii.    perspective distortion relative to the ratio of outer and inner radii.
557      
558    Jigsaw puzzle problems.  
559    
560  \section{Example applications}  \section{Example applications}
561    

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