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 :: Электронная библиотека попечительского совета мехмата МГУ

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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

Язык:

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 776

Добавлена в каталог: 03.09.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

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 $\acute{e}$ zier mapping of degree n      456
B $\acute{e}$ 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 $\acute{e}$ 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 $\acute{e}$ 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 $\acute{e}$ zier manifold      526
Dimension-independent B $\acute{e}$ zier manifold, inertia      621
Dimension-independent B $\acute{e}$ 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 $\acute{e}$ 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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