[Gzz-commits] gzz/Documentation/Manuscripts/Irregu irregu.tex

[Janne V. Kujala]

CVSROOT:        /cvsroot/gzz
Module name:    gzz
Changes by:     Janne V. Kujala <address@hidden>        02/11/12 09:48:59

Modified files:
        Documentation/Manuscripts/Irregu: irregu.tex 

Log message:
        more algo

CVSWeb URLs:
http://savannah.gnu.org/cgi-bin/viewcvs/gzz/gzz/Documentation/Manuscripts/Irregu/irregu.tex.diff?tr1=1.29&tr2=1.30&r1=text&r2=text

Patches:
Index: gzz/Documentation/Manuscripts/Irregu/irregu.tex
diff -u gzz/Documentation/Manuscripts/Irregu/irregu.tex:1.29 
gzz/Documentation/Manuscripts/Irregu/irregu.tex:1.30
--- gzz/Documentation/Manuscripts/Irregu/irregu.tex:1.29        Tue Nov 12 
08:43:26 2002
+++ gzz/Documentation/Manuscripts/Irregu/irregu.tex     Tue Nov 12 09:48:59 2002
@@ -268,14 +268,19 @@
 
 \subsection{Algorithm ``How?''} 
 
-Surface defined by $(x, y, f(x,y))$.
-The jagged version of an edge in the $z=0$ plane is obtained by first
-intersecting another plane going through the edge with the surface
-and then ``projecting'' the intersection to the $z=0$ plane.
-XXX: projecting so that the desired ``shape width'' is obtained.
+The jagged shape is defined by a surface $(x, y, f(x,y))$,
+where $-1 \le f(x,y) \le 1$ and $(x,y,0)$ is paper location.
+The shape of an edge torn along a line is obtained by intersecting
+the surface with a plane cutting through the tearing line.
+The intersection is then rotated around the tearing line until
+it is horizontal and stretched so that $z = -1$ and $z = 1$ lines 
+of the cutting plane correspond to the desired maximum positive
+and negative displacements of the edge.
 
-If the cutting plane is normal to $z=0$ plane, the edge is attached.
-Otherwise, the edge may be sprinkled.
+If the cutting plane is vertical, the shape of the torn edge is attached.
+If the angle between $z = 0$ plane and the cutting plane is
+small enough, the plane will cut off maxima of the surface,
+producing a sprinkeld shape.
 
 \section{Hardware-accelerated implementation}