songsenand
/
cgal
mirror of https://github.com/CGAL/cgal
1
0
Fork 0
Code Issues Packages Projects Releases Wiki Activity

1st revision

This commit is contained in:
Efi Fogel 2006-03-30 23:08:06 +00:00
parent 4d537221c3
commit bf08cfd529
2 changed files with 24 additions and 0 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

1
.gitattributes vendored
View File

@ -379,6 +379,7 @@ Boolean_set_operations_2/doc_tex/Boolean_set_operations_2/fig/unique.eps -text
Boolean_set_operations_2/doc_tex/Boolean_set_operations_2/fig/unique.gif -text svneol=unset#unset Boolean_set_operations_2/doc_tex/Boolean_set_operations_2/fig/unique.gif -text svneol=unset#unset
Boolean_set_operations_2/doc_tex/Boolean_set_operations_2/fig/unique.pdf -text svneol=unset#unset Boolean_set_operations_2/doc_tex/Boolean_set_operations_2/fig/unique.pdf -text svneol=unset#unset
Boolean_set_operations_2/examples/Boolean_set_operations_2/test.dxf -text Boolean_set_operations_2/examples/Boolean_set_operations_2/test.dxf -text
Boolean_set_operations_2/long_description.txt -text
Box_intersection_d/doc_tex/Box_intersection_d/fig/benchmark.eps -text Box_intersection_d/doc_tex/Box_intersection_d/fig/benchmark.eps -text
Box_intersection_d/doc_tex/Box_intersection_d/fig/benchmark.gif -text svneol=unset#unset Box_intersection_d/doc_tex/Box_intersection_d/fig/benchmark.gif -text svneol=unset#unset
Box_intersection_d/doc_tex/Box_intersection_d/fig/benchmark.pdf -text svneol=unset#unset Box_intersection_d/doc_tex/Box_intersection_d/fig/benchmark.pdf -text svneol=unset#unset

23
Boolean_set_operations_2/long_description.txt Executable file
View File

@ -0,0 +1,23 @@
This package consists of the implementation of Boolean set-operations
on point sets bounded by weekly x-monotone curves in 2-dimensional
Euclidean space. (Continuous planar curves or vertical segments.} In
particular, it contains the implementation of regularized Boolean
set-operations, intersection predicates, and point containment predicates.
A regularized Boolean set-operation op* can be obtained by first
taking the interior of the resultant point set of an ordinary Boolean
set-operation (P op Q) and then by taking the closure [Hoff]. That is,
(P op* Q = closure(interior(P op Q)). Regularized Boolean
set-operations appear in Constructive Solid Geometry (CSG), because
regular sets are closed under regularized Boolean set-operations, and
because regularization eliminates lower dimensional features, namely
isolated vertices and antennas, thus simplifying and restricting the
representation to physically meaningful solids. Our package provides
regularized operations on polygons and general polygons, where the
edges of a general polygon may be general x-monotone curves, rather
than being simple line segments.
[Hoff] Christoph M. Hoffmann, "Solid Modeling",
"Handbook of Discrete and Computational Geometry",
editors Jacob E. Goodman and Joseph O'Rourke,
Chapman & Hall/CRC, 2nd edition, 2004, 56, "1257--1278"