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

[Janne V. Kujala]

CVSROOT:        /cvsroot/gzz
Module name:    gzz
Changes by:     Janne V. Kujala <address@hidden>        02/11/19 08:33:58

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

Log message:
        small changes

CVSWeb URLs:
http://savannah.gnu.org/cgi-bin/viewcvs/gzz/gzz/Documentation/Manuscripts/Irregu/irregu.tex.diff?tr1=1.55&tr2=1.56&r1=text&r2=text

Patches:
Index: gzz/Documentation/Manuscripts/Irregu/irregu.tex
diff -u gzz/Documentation/Manuscripts/Irregu/irregu.tex:1.55 
gzz/Documentation/Manuscripts/Irregu/irregu.tex:1.56
--- gzz/Documentation/Manuscripts/Irregu/irregu.tex:1.55        Tue Nov 19 
08:13:07 2002
+++ gzz/Documentation/Manuscripts/Irregu/irregu.tex     Tue Nov 19 08:33:58 2002
@@ -465,7 +465,7 @@
 the border around small features may end up sprinkled if
 the line width is more than one pixel.
 
-This method is simple and general, but requires multiple passes
+This method is general, but requires multiple passes
 of the envelope for drawing the border.
 If the edge is connected, it suffices to shift to the 
 positive $y$ and to positive and negative $x$ directions
@@ -622,7 +622,7 @@
 Corners can be problematic, because the envelope must not intersect
 itself. For the scattered case, corners can be drawn by simply
 connecting the envelopes of the sides on a diagonal line.
-For the scattered case, the stretching of the texture
+For the connected case, the stretching of the texture
 causes an undesireble side effect: the ripples are directed radially
 outward between the directions of the corners, making
 the ripples rotate if the tear-out shape is moved along its side.
@@ -640,8 +640,7 @@
 
 The intersection can be implemented by drawing the outside
 to the stencil buffer for each side of the shape. 
-The inside is then drawn with a polygon 
-surrounding the inside and the envelopes of all sides 
+The inside is then drawn
 with stencil test set to discard those fragments that were
 drawn to the stencil buffer as the outside of the shape.
 This method works even if the tear-out shape has no corners,
@@ -651,7 +650,7 @@
 If a canvas is torn into multiple pieces, the above methods
 produce edges that do not fit together: the edges of adjacent
 pieces have opposing ripples.
-The problem is partly solved by inverting ($1-f({\bf p})$) 
+The problem is partly solved by inverting (i.e., $1-f({\bf p})$) 
 the ripple function for either one of each pair of facing sides.
 But then a 180 degree rotation of a pair of fitting pieces 
 inverts the torn shape between them, breaking the principle of