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计算几何-第3版 目录
1 computational geometry
introduction
1.1 an example: convex hulls
1.2 degeneracies and robustness
1.3 application domains
1.4 notes and comments
1.5 exercises
line segment intersection
thematic map overlay
2.1 line segment intersection
2.2 the doubly-connected edge list
2.3 computing the overlay of twosubdivisions
2.4 boolean operations
2.5 notes and comments
2.6 exercises
polygon triangulation
guarding an art gallery
3.1 guarding and triangulations
3.2 partitioning a polygon into monotonepieces
3.3 triangulating a monotone polygon
3.4 notes and comments
3.5 exercises
linear programming
manufacturing with molds
4.1 the geometry of casting
4.2 half-plane intersection
4.3 incremental linear programming
4.4 randomized linear programming
4.5 unbounded linear programs
4.6* linear programming in higher dimensions
4.7* smallest enclosing discs
4.8 notes and comments
4.9 exercises
orthogonal range searching
querying a database
5.1 1-dimensional range searching
5.2 kd-trees
5.3 range trees
5.4 higher-dimensional range trees
5.5 general sets of points
5.6* fractional cascading
5.7 notes and comments
5.8 exercises
6 point location
knowing where you are
6.1 point location and trapezoidalmaps
6.2 a randomized incrementalalgorithm
6.3 dealing with degenerate cases
6.4* a tail estimate
6.5 notes and comments
6.6 exercises
7 voronoi diagrams
the post office problem
7.1 definition and basic properties
7.2 computing the voronoi diagram
7.3 voronoi diagrams of linesegments
7.4 farthest-point voronoi diagrams
7.5 notes and comments
7.6 exercises
arrangements and duality
supersampling in ray tracing
8.1 computing the discrepancy
8.2 duality
8.3 arrangements of lines
8.4 levels and discrepancy
8.5 notes and comments
8.6 exercises
delaunay triangulations
height interpolation
9.1 triangulations of planar pointsets
9.2 the delaunay triangulation
9.3 computing the delaunaytriangulation
9.4 the analysis
9.5* a framework for randomized algorithms
9.6 notes and comments
9.7 exercises
10 more geometric data structures
windowing
10.1 interval trees
10.2 priority search trees
10.3 segment trees
10.4 notes and comments
10.5 exercises
11 convex hulls
mixing things
11.1 the complexity of convex hulls in3-space
11.2 computing convex hulls in 3-space
11.3" the analysis
11.4' convex hulls and half-spaceintersection
11.5' voronoi diagrams revisited
11.6 notes and comments
11.7 exercises
12 binary space partitions
the painter's algorithm
12.1 the definition of bsp trees
12.2 bsp trees and the painter's algorithm
12.3 constructing a bsp tree
12.4' the size of bsp trees in 3-space
12.5 bsp trees for low-density scenes
12.6 notes and comments
12.7 exercises
13 robot motion planning
getting where you want to be
13.1 work space and configuration space
13.2 a point robot
13.3 minkowski sums
13.4 translational motion planning
13.5' motion planning with rotations
13.6 notes and comments
13.7 exercises
14 quadtrees
non-uniform mesh generation
14.1 uniform and non-uniform meshes
14.2 quadtrees for point sets
14.3 from quadtrees to meshes
14.4 notes and comments
14.5 exercises
15 visibility graphs
finding the shortest route
15.1 shortest paths for a point robot
15.2 computing the visibility graph
15.3 shortest paths for a translating polygonalrobot
15.4 notes and comments
15.5 exercises
16 simplex range searching
windowing revisited
16.1 partition trees
16.2 multi-level partition trees
16.3 cutting trees
16.4 notes and comments
16.5 exercises
bibliography
index
计算几何-第3版 节选
《计算几何(第3版)》由世界图书出版公司北京公司出版。
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