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Paoluzzi A. — Geometric Programming for Computer Aided Design by Alberto Paoluzzi: Book Cover * o Table of Contents Read a Sample Chapter Geometric Programming for Computer Aided Design
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Название: Geometric Programming for Computer Aided Design by Alberto Paoluzzi: Book Cover * o Table of Contents Read a Sample Chapter Geometric Programming for Computer Aided Design
Автор: Paoluzzi A.
Аннотация: Paoluzzi (Universitá Roma Tre, Italy) presents PLaSM, a design environment for graphics, modeling, and animation that supports rapid prototyping but does not deprive the user of control over underlying geometric programming. He introduces functional programming with PLaSM, explains basic graphics programming techniques, and provides a tutorial on basic and advanced geometric modeling. Examples are given from graphics, mathematics, engineering, architecture, and the arts. Annotation ©2003 Book News, Inc., Portland, OR
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Рубрика: Computer science /
Статус предметного указателя: Готов указатель с номерами страниц
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Год издания: 2003
Количество страниц: 776
Добавлена в каталог: 03.09.2009
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Предметный указатель
1D moving system 687
1D moving system with obstacle 688
2D extent 335
2D motion 650 699
2D pipeline 333
2D transformations 221
3D motion 651
3D pipeline 339
3D scene modeling 317
3D transformations 237
Absorbed radiation 399
Actor 669
Actor, definition 675
Acyclic directed multigraph 303
Addition of compatible matrices 63
Addition of sequences 62
Additive and subtractive color 404
Adjacency and incidence relations 572
Affine action 99
Affine action and projective invariance 445
Affine action, combination 100 102
Affine action, hull 125
Affine action, hulls and affine spaces 126
Affine action, sets 105
Affine action, space 99
Affine action, subspace 101
Affine action, support of k-faces 636
Affine action, transformations 109 217 218 627
Affine action, transformations of inertia tensor 620
Algebraic form 446 448 514
Algebraic, characterization of vertices 133 158
Algebraic, operations 170
Algebraic, properties of rotations 243
Algorithm, Boolean combination 601
Algorithm, BSP construction 394
Algorithm, BSP construction, critical path method 672
Algorithm, de Casteljau 472
Algorithm, integration 587 589
Algorithm, interior evaluation 614
Algorithm, intersection of extrusions 631
Algorithm, Minkowski sum 641
Algorithm, offset 641
Algorithm, quadmesh 282
Algorithm, skeleton extraction 635
Algorithm, sweep 641
Algorithm, tensor product surfaces 510
Algorithm, z-buffer 397
aligning 85
Aligning operators 331
Ambient diffuse intensity 400
Analysis 394 644
Animated lamps 673
Animation primitive FRAME 661
Animation with PLaSM 655
Animation, data structure 661
Animation, definitions 656
Animation, examples 664
Animation, exporting Flash 656
Animation, exporting VRML 660
Animation, primitives 661
Animation, semantics 695
Animation, timing 676
Annotated references 47 168 302 438 648
Anthropomorphic robot 320
Anthropomorphic robot with 29 degrees of freedom 693
Application of PLaSM tensors 120
Application of tensors to points 121
Apply-to-all 11
approach 549 613
Arithmetic operations 52
Array of aligned graphics symbols 328
Aspect ratio of target surface 429
Assembling shapes 84
Assembling shapes with local coordinates 308
Assembling shapes, using global coordinates 307
Associative lists 70
Associativity 235
Atlas 195
Attenuation 418
Axonometric projection 375
B zier mapping of degree n 456
B zier’s geometric form 453
Back-face culling 385
Back-to-front and front-to-back 392
Back-to-front ordering 396
Back-to-front presentation 392
Background 639 667
Basic concepts 123
Basicdefinitions 285
Basicgeometric programming 73
BasicPLaSM programming 15
Basicpolyhedral constructor 75
Basicprimitives 265
Basicprogramming 51
Basicsolid modeling 555
behavior 668
Beneath/Beyond method 161
Bernstein basis of degree n 455
Bicubic B zier geometric form 519
Bicubic Hermite geometric form 515
Bicubic surfaces 514
Bilinear and biquadratic surfaces 511
Bilinear surfaces 511
Binary placements 86
Binary space partition 392
Binomial function 56
Binormal 200
Biquadratic Lagrange form 512
Blending operator 529
Body model 320
Boolean algebra 585
Boolean operations 600
Boolean operations, on b-reps 584
Boundary 148
Boundary, hierarchical representations 571
Boundary, representation, Half — Edge 576
Boundary, representation, Quad-edge 579
Boundary, representation, storage 583
Boundary, representation, Winged-edge 575
Boundary, representation, Winged-triangle 579
Boundary, schemes 570
Boundary, structure 132
Boundary-to-interior operator 614
BSP-tree 394
built-in functions 17
Camera model 340
Canonical View Volume in NPC 360
Cardinal basis 460
Cartesiancoordinates 107
Cartesianproduct of several sets 60
Cartesianproduct of two sets 60
Catenate 13
Cell comatrix 596
Cell extraction 435
Center of curvature 200
Centroid 586
Chain rule 179
Character operations 64
Chart 195
Choice of a basis 528
Choreography 669
Chromatic diagram 406
circle 37 78
Circumference 77
Classify a BSP subtree against a leaf 608
Clip definition 678
closed shapes 289
CMY color model 411
Codimension 96 596
COLOR 420
Color lines and points 421
Color map of Gauss curvature field 212
color models 404
Color per face 420
Color per vertex 421
Column, definition 90
Column, row 90
Column, row and gable 91
Column, vector 218
Combining forms and functions 11
Commutativity 235
Complementary colors 407
Completeness 556
COMPLEX 145
composition 12
Composition and inverse 236
Composition of elementary rotations 241
Composition of elementary transformations 337
Composition or product 234
Computation inertia 592
Computation of FP 686
Computation of geometry 629
Computation of topology 630
Computation, view volume 360
Computational model 3
Conditional 12
Cone 81
Configuration space 653
Configuration space, sampling 657
Connecting surfaces 549
Connection surfaces 534
Constant 12
Constant resolution 561
Constant-area constraint 550
Constrained connection volume 548
Constrained volume map 550
Construction 11
Constructive solid geometry 569
Continuity order and degree elevation 446
control handles 445
Convex, combination 100—102
Convex, coordinates 104
Convex, hull 101 125
Convex, hulls and convex sets 126
Convex, interpolation 291
Convex, polygon 105
Convex, sets 125
Convex-cell partitioning and covering 564
Coon’s surfaces 536
Coordinate functions 32 77 172 516
Coordinate representation 171 528
Coordinate systems 333 341
Coox and de Boor formula 468
Covector 108 245
CPM, backward computation 670
CPM, forward computation 670
Crosspoly tope 137
Cubic Bernstein/B zier basis 454
Cubic cardinal splines 459
Cubic curves 449
Cubic Hermite basis 451
Cubic non-uniform B-splines 465
Cubic uniform B-splines 461
cuboid 74
Curl 192 193
Curl of a 3D field 192
Curried functions 22
Curvature 199
Curve 169
Curve, representations 441
Cylinder 74
Cylinder and tube 82
Cylinders and cones 505
d-flat 105
de Casteljau algorithm 471
de Casteljau cubic scheme 472
de Casteljau parabola 471
Decompositive schemes 563
Degrees of freedom 649
Dependence of basis functions on knots 469
Depth attenuation of intensity 401
Depth-sort 388 391
Derivatives of a curve 198
Determinant of a matrix 118
Determinant of a tensor 118
Device, coordinates 334 342
Device, transformation 336 338
Difference operation 600
Differentiable manifolds 194 195
Differential operators 189
Differentiation 176
Diffuse light 400
DIMENSION 99 141
Dimension-independent B zier manifold 526
Dimension-independent B zier manifold, inertia 621
Dimension-independent B zier manifold, PLaSM operators 595
Dimetric projection 376
Direct method 336
Directional, decomposition of vectors 111
Directional, derivative 185
Directional, light 418
Display function 492
Distribute Right/Left 14
Divergence and Laplacian 191
Divergence of a 3D field 192
dodecahedron 165
Domain 556
Double description 134 135
Double description, solid cylinder slab 547
Drawing strategy 325
Dual, extrusion mapping 627
Dual, space 107
Duality 130
Duality, between planar graphs 578
ECS algorithm 681
ECS algorithm, method 680
ECS algorithm, representation 687
Edge-based schemes 574
Elementary rotations 239
Elementary rotations, transformations 237
Elements of differential geometry 169
Elements of differential geometry of FL syntax 10
Elements of differential geometry of linear algebra 95
Elements of differential geometry of polyhedral geometry 123
Emptiness test for a convex set 613
Encoding degrees of freedom 682
Enumerative schemes 560
Euclidean, point space 107
Euclidean, spaces 106
Euler equation 573
Euler — Poincar equation 574
Even and odd numbers 53
Event 668
Explicit representation 441
Exploded views 437
Exporting graphics 9
Expressions 15
Extended configuration space 680
Extremal points 130 133
Extrusion 624 638
Faces 132
Faces of polytopes 140
Faces of pyramids 141
Faces, extraction 145
Faces, lattice 141
Facet -based schemes 577
Facet -based schemes, covector 596
Factorial function 54
Fields 189
First, fundamental form 208
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