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Boissonnat J.D., Yvinec M. — Algorithmic Geometry
Boissonnat J.D., Yvinec M. — Algorithmic Geometry



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Название: Algorithmic Geometry

Авторы: Boissonnat J.D., Yvinec M.

Аннотация:

The design and analysis of geometric algorithms has seen remarkable growth in recent years, due to their application in, for example, computer vision, graphics, medical imaging and CAD. The goal of this book is twofold: first to present a coherent and systematic treatment of the foundations; second to present algorithmic solutions to problems that are simple to state but which nevertheless are applicable in practical situations. The prerequisites for using the book are few which will make it ideal for teaching advanced courses in computational geometry.


Язык: en

Рубрика: Computer science/Алгоритмы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 544

Добавлена в каталог: 16.11.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Polygon, union      44 45
Polygon, Voronoi diagram of      495
Polygonal distance      507
Polygonal line      256
Polygonal region      44 256
Polyhedral distance      475
Polyhedral region      258
Polyhedron      256 257
Polytope      133 134
Polytope, cyclic      153
Polytope, maximal      172
Polytope, projective      164
Polytope, representation      176
Polytope, simple      146
Polytope, simplicial      146
Polytope, unbounded      167 173
Polytope, Voronoi      431
Popular face      404
Power diagram      452 455
Power diagram of higher orders      454
Power of a point      425 452
Priority queue      16 25
Projective, arrangement      356
Projective, mapping      157
Projective, oriented space      159
Projective, polarity      157
Projective, polytope      164
Projective, simplex      163
Projective, space      154
Proper face      135
Prune-and-search      246
Pure complex      252
QUEUE      15
Queue, event      37
Queue, priority      16 25
Radical hyperplane      430
Radon's theorem      168
Random sampling      50
Randomized algorithm      65
Randomized analysis      6 67 79 105 190 201
Range tree      27
Ray shooting      245 298
Rectangle (greatest empty)      473
Region, determined by some objects      47
Region, polygonal      256
Region, polyhedral      258
Relation, Dehn — Sommerville      150 356
Relation, Euler      147 170 173
Representation of a complex      267
Representation of a polytope      176 206
Representation of spheres      426
Representation, hierarchical      228 293
Sampling random      50
Sampling theorem      53
Segment tree      27
Selection      45
Separability      245
Sequence, alternating      367
Sequence, Davenport — Schinzel      367
Shell of a face      254
Shelling of a polytope      235
Shortest path      294 361
Simple arrangement      333
Simple polytope      146
simplex      134 146 169 251
Simplex, projective      163
Simplicial, complex      253
Simplicial, decomposition      319
Simplicial, polytope      146
Singular face      253
Skeleton of a complex      252
Skeleton of a polytope      176 202
Skeleton of an arrangement      357
Sorting      10 25
Space, hyperbolic      470 476
Space, oriented projective      159
Space, projective      154
Spanning tree      447
Sphere, orthogonal      428
Sphere, representation of      426
Sphere, topological      253
Split theorem      306
Stabbing lines      382
Stabbing planes      417
STACK      15
Star of a face      254
Steiner points      314
Stratified tree      28
Supporting hyperplane      135 169
surface      417
Surface of level      346
Sweep      37 477
Sweep, lazy      290
Sweep, non-trivial boundary      383
Sweep, polygon      287 294
Sweep, segment intersection      38
Sweep, Voronoi diagram      477 488
Tail estimates      61
Theorem, augmented influence graph      111
Theorem, Caratheodory      168
Theorem, conflict graph      69
Theorem, Helly      168
Theorem, influence graph      81
Theorem, Jordan      268
Theorem, moment      57
Theorem, Radon      168
Theorem, sampling      53
Theorem, split      306
Theorem, upper bound      151 170 172
Transformation of problems      11
Transformation, duality      142
Transformation, hyperbolic duality      476
Transformation, polarity      141 427
Traversal of a graph      17
TREE      16
Tree, 2-3-4      18
Tree, balanced      17
Tree, decision      10
Tree, range      27
Tree, red-black      17
Tree, segment      27
Tree, stratified      28
Triangulation      255 273 301
Triangulation of a polygon      285
Triangulation, canonical      171 357
Triangulation, conformal      509
Triangulation, constrained      277 312 508
Triangulation, Delaunay      434
Triangulation, linear      303
Triangulation, optimality      437
Triangulation, output-sensitive      312
Triangulation, quadratic      270 303
Unbounded polytope      167 173
Union of balls      445
Union of parallel hypercubes      62
Union of parallel rectangles      46
Union of polygonal regions      44 45
Union, miscellaneous      229
Update condition, augmented influence graph      110
Update condition, conflic graphs      68
Update condition, influence graph      80
Upper Bound Theorem      151 170 172
Upper hull      173
Vertex of a complex      251
Vertex of a polytope      135
Vertex, convex      280
Vertex, inner      62
Vertex, outer      62
Vertex, reflex      280
Vertical decomposition of a polygon      285
Vertical decomposition of a polyhedral region      315
Vertical decomposition of line segments      41
Visibility      296
Visibility, art gallery      297
Visibility, computing a view      381 417
Visibility, graph      360
Visibility, ray shooting      245 298 358
Voronoi diagram for the $L_1$ distance      463
Voronoi diagram for the $L_\infty$ distance      463
Voronoi diagram of a polygon      495
Voronoi diagram of disks      473
Voronoi diagram of higher order      447
Voronoi diagram of line segments      482 508
Voronoi diagram of points      423 431
Voronoi diagram, dynamic      446
Voronoi diagram, furthest-point      444
Voronoi diagram, higher-order      441
Voronoi diagram, hyperbolic      470 508
Voronoi diagram, on-line      489
Voronoi diagram, sweeping      477 488
Voronoi polytope      431
Weighted diagram      457 461
Zone in an arrangement      337 360
Zonotope      174 357 358
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