Авторизация
Поиск по указателям
Farin G. — Curves and surfaces for computer aided geometric design
Обсудите книгу на научном форуме Нашли опечатку?
Название: Curves and surfaces for computer aided geometric designАвтор: Farin G. Аннотация: This unified treatment of curve and surface design concepts is the Fourth Edition of the popular text, Curves and Surfaces for Computer-Aided Geometric Design, Third Edition (Academic Press, 1992). Assuming only a background in calculus and basic linear algebra, this revised and updated classic is highly accessible and should be of interest to a wide audience; from computer graphics hobbyists to software developers for CAD/CAM systems. The author's informal style makes this book very reader-friendly, and the IBM disk included in the back of the book will allow the user to gain first-hand experience with the concepts as they are explained.
Язык: Рубрика: Computer science /Вычислительная геометрия /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: fourth editionГод издания: 1997Количество страниц: 429Добавлена в каталог: 16.11.2005Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
Greville abscissa 144 Greville, T 158 Hagen, H. 194 264 Hahn, J. 308 Hansford, D. 29 300 Harmonic function 9 Hartley, P. 133 Hat function 30 Hermite form 375 Hermite interpolation 87 113 315 344 Herron, G. 308 316 Hilbert, D. 367 Hinds, J. 276 367 Hodograph 49 Holladay, J. 122 Hollig, K 141 221 Holman, T. 375 Homer’s scheme 60 Homogeneous coordinates 200 Hosaka, M. 377 Hoschek, J. 166 307 308 367 Hyperbola 209 233 357 Hyperbolic paraboloid 231 Hyperbolic point 355 Hyperbolic point, idempotent operator 344 identity map 17 IGES 103 156 206 Image plane 196 Implicit form of a conic 205 Implicit form of a quadric 300 Implicit form of a surface 348 Implicit form, tolerances 214 Improper parametrization 223 Infinite control point 213 224 Inflection point 110 370 Inner Bezier point 102 Integrals 73 Integrals of tensor product patches 250 Interference checking 38 Interpolating, conic 207 Interpolating, polynomial 81 Interpolating, quadric 300 Intrinsic geometry 355 Invariance under affine parameter transformations 38 376 Inverse design 111 373 Isoparametric curve 232 238 341 Isophotes 368 Isotropic directions 350 Jeannin, P. 215 Jensen, T. 308 Joint 97 Jolles, S. 58 Jones, A. 308 369 Judd, C 133 junction points 97 102 114 116 Kahmann, J. 308 316 Kaufmann, E. 369 Kiciak, P. 308 Kimura, F. 338 377 Kjellander, J. 366 Klass, R. 221 368 369 Klein bottle 278 Klucewicz, I. 262 Knot 96 122 Knot, insertion 143 Knot, insertion for rational B-splines 228 Knot, multiplicities, in IGES 156 Knot, sequence 96 Korovkin, P. 44 77 78 Kronecker delta 47 Kruth, J. 227 Lacombe, C. 346 Lagrange interpolation 85 Lagrange polynomials 84 341 Lane, J. 54 159 Lasser, D. 276 307 Least squares 165 Lee, E 40 132 196 209 228 Levin, D. 29 Levin, S. 158 Lewis, J. 192 Lien, S. 94 Liming, R. 196 208 Linear independence of B-splines 152 Linear interpolation 18 327 Linear interpolation, bivariate 24 Linear interpolation, repeated 33 Linear operators 30 35 Linear parameter transformation 38 Linear precision 48 84 104 108 Linear precision of Bezier triangles 293 Linear precision of rational curves 216 Linear space 13 Linearly independent 30 Lines of curvature of a surface of revolution 354 Little, F. 29 Liu, D. 308 364 Lobachevsky, N. 141 Local control 105 109 Local coordinates 38 96 98 Local parameter 21 115 Local support 152 Lofted surface 326 341 Loop, C. 116 321 Lorentz, L. 44 Lounsbery, M. 320 Lucian, M. 228 Lyche, T. 158 Ma, W. 227 Main normal vector 173 Mann, S. 244 320 Manning, J. 185 194 Mansfield, L. 141 155 Marshall, J. 346 Mass point 32 Matrix form of curves 59 Max-min criterion 29 McAllister, D. 113 McConalogue, D. 119 133 McLaughlin, H 113 Mean curvature 355 367 Meier, J. 44 Memke’s theorem 180 Menelaos’ theorem 22 Meridian 270 Meusnier’s theorem 352 Micchelli, C 158 180 194 Miller, J. 276 Min-max, box 38 55 Min-max, criterion 29 Mitchell, A. 346 Mixed partials 242 Mobius, F 16 19 23 197 Monge, C. 171 Monomial 30 85 Monomial, basis 59 373 Monomial, form 51 Monomial, form of Bezier patches 248 Mortenson, M. 59 Multiaffine 41 59 Multiaffine, function 282 Multiplicities of end knots 156 Multiplicity of a knot 143 Munchmeyer, F. 367 Musse, J. 308 Nachman, L. 332 Napoleon 11 Nasri, A. 320 Natural end condition 132 Nested multiplication 60 Neutral set 28 Neville 83 Newton, form 92 Newton, I. 81 Newton, iteration 166 Nielson, G 120 133 184 189 192 308 344 346 Nine parameter interpolant 302 Nonparametric, curve 178 Nonparametric, patch 249 Normal, curvature 352 Normal, equations 165 Normal, section 352 Normal, vector 244 Normalization of knot sequence 102 Numerical control 1 NURBS 215 Order of contact 194 Orthonormal matrix 18 Osculant of tensor product surface 244 Osculating, circle 175 Osculating, plane 57 174 194 Osculatory interpolation 221 Oslo algorithm 158 Overhauser spline 119 121 O’Dell, C. 133 parabola 2 5 33 119 177 199 209 215 227 233 300 Parabolic, cylinder 300 Parabolic, point 355 Paraboloid 300 357 Parallel projection 17 18 Parameter correction 166 Parametric B-spline curve 157 Parametrization 110 116 171 211 300 339 Parametrization for tensor product interpolation 265 Parametrization, centripetal 132 166 Parametrization, chord length 132 Parametrization, equidistant 131 Parametrization, uniform 131 Parry, S. 271 Partial derivatives 241 Partition 30 Partition of unity 153 Pascal’s theorem 207 Patterson, R. 196 222 Pegna, J. 316 362 Penna, M. 196 Peters, G. 256 Peters, J. 323 Petersen, C. 295 307 Piecewise Bezier polygon 97 Piecewise bilinear interpolation 241 Piecewise linear interpolation 64 67 146 Piecewise polynomial curves 96 Piegl, L 213 215 300 Piper, B. 120 308 315 Pixel 94 Pixel, map 120 Poeschl, T 368 Point 12 Point at infinity 213 polar 57 Polar of tensor product surface 244 Polar, form 350 Polygon 21 Polynomial space 30 PostScript 120 Pottmann, H. 194 364 Powell, M 305 Power basis 373 Pratt, M. 59 Pratt, V. 94 Prautzsch, H. 67 158 168 Principal, curvatures 355 Principal, direction 354 Projective, geometry 196 Projective, invariance 37 Projective, map 196 198 Projector 344 Quadratic, B-spline 102 Quadratic, precision 302 Quadric 298 Quintic Hermite interpolation 91 121 Radial line 291 Radius of curvature 175 Rajan, V. 373 Ramshaw, L. 40 54 58 141 233 297 RANGE 232 Rank 18 ratio 20 31 197 Rational, linear transformation 199 202 Rational, quadratic form for conics 202 Rational, quadratics 298 Recursive subdivision 317 Reflection lines 368 Regular parametrization 172 Rendering of B-spline curves 157 Renyi, A. 141 Renz, W 366 Reparametrization 72 172 181 193 268 281 348 358 Reparametrization of rational B-splines 228 Reparametrization of rational Bezier curves 221 Reparametrization of surfaces 316 Riesenfeld, R. 2 54 150 158 159 Rigid body motion 18 Rippa, S. 29 Ris, G. 308 Robot path 110 Rochetti, R. 94 Rotation 17 Rough sketch 187 Roulier, J. 113 Roundoff 375 Ruled surface 232 326 359 Runge phenomenon 87 Sabin, M. 221 279 305 317 364 377 Sablonniere, P. 150 279 295 Sakkalis, T. 211 Sapidis, N. 110 363 365 Sarraga, R. 308 315 Scaling 17 Scattered data interpolation 301 Schelske, J. 248 Schneider, F. 227 Schoenberg, I. 67 141 150 Schulze, G. 264 Schumaker, L. 54 113 122 159 295 Second fundamental form 352 Sederberg, T 39 49 223 244 271 Seidel, H. 40 283 Selesnick, S. 264 Self-conjugate 358 Semicircle 213 Sequin, C. 308 Shantz, M. 94 276 Shape preservation 86 328 Shape preserving interpolation 113 Shear 17 31 Shirman, L. 308 Shoulder, point 202 208 Shoulder, tangent 209 Signed curvature 178 Simple knot 143 Slanted font 18 Smoothness conditions 97 Solid modeling 298 Sphere 270 SPLINE 2 119 122 136 227 339 364 366 Spline, cubic 96 Spline, curve 96 Spline, interpolation 343
Реклама
|
|
О проекте