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Curve and Surface Design

Hans Hagen, Editor



This collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practical use in industrial applications. Main emphasis is on minimal energy splines and geometric spline curves, and on techniques beyond tensor product surfaces.

Contents
Part I: Curve Design. Properties of Minimal Energy Splines, G. Brunnett; Minimal Energy Splines with Various End Constraints, E. Jou and W. Han; Interval Weighted Tau- Splines, D. Lasser and H. Hagen; Curve and Surface Interpolation Using Quintic Weight Tau-Splines, D. Neuser; Weighted Splines Based on Piecewise Polynomial Weighted Functions, K. Salkauskas; Algorithms for Geometric Spline Curves, M. Eck; On the Problem of Determining the Distance Between Parametric Curves, F. Fritsch and G. Nielson; Part II: Non-Tensor Product Surfaces. A Survey of Scattered Data Fitting Using Triangular Interpolants, T. De Rose; Free-form Surfaces from Partial Differential Equations, M.I.G. Bloor and M.J. Wilson; Modeling with Box Spline Surfaces, M. Daehlen.

1992 / ix + 205 pages / Softcover / ISBN-10: 0-89871-281-5 / ISBN-13: 978-0-898712-81-0
List Price $96.00 / SIAM Member Price $67.20 / Order Code OT29
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Topics in Surface Modeling

Hans Hagen, Editor



Contains recent ideas and results in three areas of growing importance in curve and surface design: algebraic methods, variational surface design, and some special applications. Leading researchers from throughout the world have contributed their latest work and provided several promising solutions to open issues in surface modeling.

Contents

Part I: Algebraic Methods. Free-Form Blending: A Technique for Creating Piecewise Implicit Surfaces, J. Warren; Surface Fitting Using Implicit Algebraic Surface Patches, C. Bajaj; Functional Splines for Interpolation, Approximation, Blending of Curves, Surfaces and Solids, J. Hoschek and E. Hartmann; Part II: Variational Surface Design. Local Twist Estimation, G. Farin and H. Hagen; Variational Surface Design, H. Hagen and P. Santarelli; Part III: Special Applications. Interactive Techniques for Visual Design, P. Andersson and B. Dahlberg; Exact Conversion of a Trimmed Non-rational Bezier Surface into Composite or Basic Non-rational Surfaces, A.E. Vries-Baayens; A Procedural Feature-Based Approach for Designing Functional Surfaces, J. Cavendish and S. Marin; Topological Considerations in the Transfinite Interpolation of Contour Curves, A. Jones; Conditions and Constructions for GC1 and GC2 Continuity Between Adjacent Integral Bezier Surface Patches, P. Wassum.

1992 / ix + 219 pages / Softcover / ISBN-10: 0-89871-282-3 / ISBN-13: 978-0-898712-82-7
List Price $98.00 / SIAM Member Price $68.60 / Order Code OT30
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