/[gzz]/gzz/Documentation/Manuscripts/Irregu/irregu.tex
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revision 1.111 by tjl, Sat Nov 30 10:46:03 2002 UTC revision 1.112 by tjl, Sat Nov 30 11:25:49 2002 UTC
# Line 657  on NPR silhouette edges concerns either Line 657  on NPR silhouette edges concerns either
657  polygon-based 3D models\cite{buchanan00edge,raskar01hardware,markosian97realtime,%  polygon-based 3D models\cite{buchanan00edge,raskar01hardware,markosian97realtime,%
658  northrup00artistic,raskar99silhouette} or  northrup00artistic,raskar99silhouette} or
659  image-based approaches\cite{saito90comprehensible}.  image-based approaches\cite{saito90comprehensible}.
660    In our case, the edge is defined implicitly,
661  In our case, the edge is defined implicitely, as the solution of an equation,  as the solution of an equation,
662  making it hard to obtain consistent border width.  which makes it hard to obtain consistent border width.
663  Mathematically, the border of an irregular tear-out is defined as  Mathematically, the border of an irregular tear-out is defined as
664  the set of points whose distance from the tear-out is less than  the set of points whose distance from the tear-out is less than
665  or equal to the desired line width.  or equal to the desired line width.
666  In the following, we consider different ways for approximating  In the following, we consider different ways for approximating
667  the border.  the border.
668    
669  \subsubsection{The oldest trick}  \subsubsection{The oldest trick in the book}
670    
671    Drawing the
672    shape multiple times
673    
674    The border can be approximated by
675    
676  The border can be approximated by first drawing the inside of a tear-out  inside of a tear-out
677  multiple times with the border color, each time shifting it a few pixels  multiple times with the border color, each time shifting it a few pixels
678  (the line width or a fraction of it) to a diffrent direction.  (the line width or a fraction of it) to a diffrent direction.
679    

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