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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 DesignАвтор: 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: 2003Количество страниц: 776Добавлена в каталог: 03.09.2009Операции: Положить на полку |
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Предметный указатель
Predefined, matrix operators 114 Preprocessing 383 Primitive and attributes 355 Primitive, alignments 84 Primitive, shapes 73 Principal normal 199 Prism over a polytope 138 PRODUCT 109 Product of a scalar times a vector 63 Product of cell-decomposed polyhedra 627 Product of polyhedra 623 Product of rotations 236 Product of scaling 235 Product of translations 235 Product, manifold 196 Profile product surfaces 499 Program composition and application 3 Programming, approach to features 553 Programming, examples 37 Programming, first example 51 Programs are functions 3 Progressive, algorithms 163 Progressive, difference 566 Progressive, sums 72 Projection 142 Properties 193 Properties of B 458 Properties of parametric curves 445 Properties of tensor product of vectors 111 Pyramid over a polytope 141 QuadMesh implementation 281 Quadratic curves 448 Quadrilateral, array with holes 300 Quadrilateral, mesh 281 Quadtrees 562 Quotient set of polylines 284 285 Rational, B 473 Rational, B 473 Rational, B-splines of arbitrary degree 475 Rational, curves and splines 472 Rationale of extended configuration method 680 Rationale of transfinite blending 528 Real-valued maps of a real variable 176 Real-valued maps of several real variables 183 Rectangular pixel 338 Reflection 226 244; Reflection, mirroring 245 Regular sets see “ Regularity 498 Regularized operations 585 Relative arrangements 86 Reparametrization 174 Representation 635 Representation, HPC 595 Representation, scheme 555 Representation, theorem 108 Reversed y axis 339 RGB color model 408 Rigid 2D body 650 Rigid 3D body 651 Rod and axis modeling 324 Roof of S. Stefano Rotondo 46 Roof, design for a sports building 547 Rotation 227 240 247 Rotation 3D 240 Rotation with fixed point 237 Rotation, about affine axes 243 Rotation, axis 240 Rotation, elementary 239 Rotation, general 243 Rotation, improper 245 Rotation, tensor 247 Rotational surfaces 501 502 Ruled surface 503 Sampled in-betweening 292 Saving/restoring geometry 10 Scalable Vector Graphics (SVG) 355 Scaling 224 237 247 Scaling with fixed point 237 Scaling, global 245 Scaling, tensor 247 Scaling, uniform 225 Scene, coherence 386 Scene, diagrams 312 Scene, graph modeling 316 Scene, graphs 305 Schlegel diagrams 151 Second fundamental form 210 Secondary beams 92 Segment, animation 668 Segment, CS paths 677 Segment, slacks 670 sequence generators 20 Set operations 60 71 124 584 600 Shading 421 Shading, models 412 Shading, normals per face 422 Shading, normals per vertex 422 Shape, characterization 286 Shape, compatibility 295 296 Shape, design with a NURB spline 478 Shape, mapping 296 Shape, resemblance 298 shearing 232 238 Side cavalier 379 simplex 73 144 Simplex, method 158 Simplicial, complexes 144 Simplicial, maps 77 Simplicial, prism 146 Simplified model of specular reflection 403 Skeleton extraction 28 633 Solving a 2D labyrinth 696 Sort of unordered sequences 68 Specialized products 626 Specular reflection 401 Sphere 79 Spheres and toruses 196 Splines 459 Splines, Catmull — Rom 459 Splines, cubic cardinal 459 Splines, non-uniform B-spline 465 Splines, number of points and joints 465 Splines, NURBS 474 Splines, uniform B-spline 461 Spotlight 419 Standard cabinet 380 Standard cabinet, d-simplex 136 Standard cabinet, view models 437 Storage, bounds 584 Storage, comparison 319 Storage, space of WT representation 582 storyboard 668 Storyboard, definition 676 String operations 64 Structure of matrices 245 Structure, editing and animation 311 Structure, network in PHIGS 310 subspace 96 Subspace, span 96 Subtree drawing 327 Support, separation, extreme points 129 surface 497 Surface, generation 213 Surface, integrals 591 Surface, integration 589 SVG 10 355 357 545 Sweep 638 Symbolic design programming 2 Tableau-based simplex algorithm 159 Tangent 199 Tangent, spaces and maps 198 Taxonomy of algorithms 382 Taxonomy of projections 371 Taxonomy of representation schemes 559 Tensor 108 109 Tensor form 509 510 Tensor of control points 525 Tensor of inertia 620 Tensor of rotation 236 Tensor of scaling 235 Tensor of translation 235 Tensor of vectors 111 Tensor product surfaces 508 522 Tensor, action on covectors 245 Tensor, affine transformation 109 Tensor, associativity 235 Tensor, commutativity 235 Tensor, composition see “poduct234” Tensor, coordinate representation 112 Tensor, decomposition 110 Tensor, determinant 118 Tensor, functional notation 234 Tensor, identity tensor 109 Tensor, inner product 117 Tensor, inverse 118 236 Tensor, linear transformation 109 Tensor, matrix 112 Tensor, null tensor 109 Tensor, NURBS 523 Tensor, operations 109 Tensor, orthogonal 119 Tensor, product 109 234 525 Tensor, properties 234 Tensor, skew 110 Tensor, trace 116 Terminology 448 tetrahedron 163 text 272 Texture 423 Texture, components 423 Texture, mapping on a polygon 430 Texture, mapping with repetition 432 Texture, repetition and transformation 428 Texture, transformations 430 The Serret — Frenet formulae 200 Thin solids generated by surfaces 540 Three-point perspective 373 Timmer — Stern’s method 587 Toolbox 172 389 671 Topological genus 573 Topology and geometry 571 Torus 82 Trace of tensor 116 Transfinite blending 530 531 Transfinite blending, B 531 Transfinite blending, Hermite 533 Transfinite blending, methods 527 Transformation 217 Transformation and effects 356 Transformation of coordinates 241 342 Transformation, between geometric forms 453 Transformation, generic 233 Translation 221 237 246 Translation and scaling 237 Translation, tensor 246 Translational motion 698 Transmitted radiation 399 TRANSPOSE 110 Traversal 308 Tree, construction 394 Tree, diagrams 325 Tree, input 326 Tree, traversal 395 Triangle fan 279 Triangle fan, integrals 590 Triangle fan, strip 277 Trimetric projection 377 Two-point perspective 372 Types of extrusion 682 Umbrella modeling 1 Umbrella modeling, animation 689 Umbrella modeling, curved rods 480 Umbrella modeling, Flash animation 659 Umbrella modeling, solid parts 592 Umbrella modeling, structure 323 Umbrella modeling, tissue canvas 542 Unicity 557 Unified approach 640 Uniform B-spline basis 462 Uniform B-spline basis, geometric form 461 Uniform B-spline basis, matrix 463 UNION operation 600 Unit triangle integrals 590 Univariate case 529 Useful maps 170 User-defined affine tensors 249 User-defined affine tensors, functions 16 Validity 556 Validity, set 581 Variable, resolution 561 Variable-free notation 170 Variation diminishing 446 Vector 218 Vector and matrix operations 62 Vector, basis 97 Vector, components 97 Vector, operations 98 Vector, space 95 Vector, space of n-shapes 288 Vector-valued maps of a real variable 180 Vector-valued maps of several real variables 186 Vertex enumeration problem 161 View, clipping 351 View, in VRC 361 View, in WC 361 View, mapping 343 345 View, model 340 344 367 View, orientation 343 344 View, parameters 340 369 View, reference coordinates (VRC) 341 View, volume 370 Viewing and rendering 367 Viewing, model 359 Virtual, Manhattan 43 Virtual, skyscraper 45 Virtual, vs physical worlds 358 Visibility graph 387 Visibility graph, relation 386 Visibility graph, test 390 Volume integration 591 VRML 5 6 9 26 37 39 41 81 92 93 103 166 185 213 262 275 305 306 310 315 319 367 399 409 410 412 417 419 420 422 428 431 432 434 503 649 656 657 660 664 666 673 678 680 693 VRML camera implementation 361 Window-viewport mapping 336 353 Workstation transformation 343 351 world coordinates 334 341
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