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Piegl L.A.,, Tiller W. — The NURBS Book (Monographs in Visual Communication)
Piegl L.A.,, Tiller W. — The NURBS Book (Monographs in Visual Communication)



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Название: The NURBS Book (Monographs in Visual Communication)

Авторы: Piegl L.A.,, Tiller W.

Аннотация:

The second, revised edition of this book covers all aspects of non-uniform rational B-splines necessary to design geometry in a computer-aided environment. Basic B-spline features, curve and surface algorithms, and state-of-the-art geometry tools are all discussed. Detailed code for design algorithms and computational tricks are covered, too, in a lucid, easy-to-understand style, with a minimum of mathematics and using numerous worked examples. The book is a must for students, researchers, and implementors whose work involves the use of splines.


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 646

Добавлена в каталог: 03.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Reparameterization with a polynomial function      245
Shape factor      261 293
Shape invariant      261. See also Shape factor
Shape operators      533
Skinned surface      457
Smoothing functions      471
Software      593
Software, arithmetic routines      616
Software, data structures      596
Software, data types      594
Software, error control      607
Software, example programs      618
Software, memory allocation      601
Software, system structure      626
Software, utility routines      613
Sphere      2
STEP      290 583
Surface, B-spline, definition      100
Surface, B-spline, derivatives and continuity      109
Surface, B-spline, properties      105—109
Surface, Bezier      37 38 105 130
Surface, data structure      601
Surface, evaluation of points and derivatives by knot insertion      161
Surface, fitting approximation      419 432
Surface, fitting interpolation      376 399
Surface, implicit form      2
Surface, isocurves      35 37
Surface, normal vector      4 36
Surface, parametric form      2
Surface, partial derivatives of      4
Surface, power basis form      35
Surface, rational B-spline, definition      128
Surface, rational B-spline, derivatives      136—138
Surface, rational B-spline, properties      130
Surface, rational Bezier      40
Surface, reversal      265
Surface, splitting / subdivision by knot insertion      158
Surface, tensor product definition      34 50
Swept surface      472
Swung surface      455
Tangent vector inversion      235
Tension      561
Tensor product, B-spline basis functions      102 104
Tensor product, surface      34
Transformations of curves and surfaces      236 240
Twist vectors      500
Undamped circle      578
Undamped curve      576
Undamped knot      571
Uniform parameterization      2
Variation diminishing property      12 38 87 119 131
Vector space of piecewise polynomial curves      47 48
Vector space of piecewise polynomial functions      63—66
Warping      533 538 542
Weights, differentiation with respect to      520
Weights, modification of      120 130 131 261 518 526 531
Weights, negative      186 469
Weights, rational B-spline      117 120 131
Weights, rational Bezier      27
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