Titlebook: Mathematics of Surfaces XII; 12th IMA Internation Ralph Martin,Malcolm Sabin,Joab Winkler Conference proceedings 2007 Springer-Verlag Berli

Intercept

Rational Maximal Parametrisations of Dupin Cyclides,have been investigated in recent years by a number of authors. In particular their parametrisation using bi-quadratic Bézier patches is well documented. It is known, for example, that a minimum of four bi-quadratic Bézier patches is required to parametrise the entire manifold. However, neither the g

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NOVA

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Non-uniform B-Spline Subdivision Using Refine and Smooth,of NURBS. As a step towards building such a scheme, we investigate non-uniform analogues of the Lane-Riesenfeld ‘refine and smooth’ subdivision paradigm. We show that the assumptions made in constructing such an analogue are critical, and conclude that Schaefer’s global knot insertion algorithm is t

concubine

Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines,old . embedded into .. The methods are based on a local bivariate Powell-Sabin interpolation scheme, and make use of local projections on the tangent planes. The data fitting method is a two-stage method. We illustrate the performance of the algorithms with some numerical examples, which, in particu

lethal

Implicit Boundary Control of Vector Field Based Shape Deformations,e volume preservation and prevention of self-intersections are achieved by utilizing the method of Vector Field Based Shape Deformations. This method produces physically plausible deformations efficiently by integrating formally constructed divergence-free vector fields, where the region of influenc

粗鲁性质

excrete

Description of Surfaces in Parallel Coordinates by Linked Planar Regions,ing with the visualization of hypercubes of arbitrary dimension the representation of smooth surfaces is developed in terms of linked planar regions. The representation of ., ., non-orientable, . and . surfaces in ℝ. with generalizations to ℝ. are presented enabling efficient visual detection of sur

exorbitant

Discrete Surface Ricci Flow: Theory and Applications,rmal geometric methods have played important roles in engineering fields..This work introduces a theoretically rigorous and practically efficient method for computing Riemannian metrics with prescribed Gaussian curvatures on discrete surfaces—discrete surface Ricci flow, whose continuous counter par

冷淡周边

Guided ,, Spline Surfaces with V-Shaped Tessellation,ng these by splines of moderate degree. This paper explains a construction based on tessellating the domain into V-shaped regions so that the resulting .. surfaces have .. transitions across the boundaries of the V-shapes and consist of tensor-product splines of degree (6,6) with patches of degree (