The constraints (known as the Beta constraints) result from a direct application of the univariate chain rule for curves and the bivariate chain rule for surfaces. For first and second order continuity, the Beta constraints are equivalent to requiring continuity of the geometric measures described ...
Parametric spline curves and surfaces are typically constructed so that some number of derivatives match where the curve segments or surface patches abut. If derivatives up to order n are continuous, the segments or patches are said to meet with Cn, or nth order parametric continuity. It has be...
The chapter presents examples showing the need for a notion of continuity different from matching of Taylor expansions as in the case of functions. It also defines geometric continuity for parametric curves, and for surfaces, first along edges, then around points, and finally for a whole complex...
An introduction to geometric concepts and tools needed for solving problems of a geometric nature with a computer. It offers theoretical understanding of polynomial curves and surfaces. The focus of this book is on "blossoming"--the process of converting
ideal text for an introductory course at the advanced undergraduate or graduate level.The Third Edition includes a new chapter on Topology, offers new exercises and sections within most chapters, combines the material on Geometric Continuity into one chapter, and updates existing materials and...
美 英 un.几何连续性 网络认识几何连续 英汉 网络释义 un. 1. 几何连续性 例句
Three types of Curves and three types of Surfaces in Geometric Design - Cubic, Bezier and B-Spline, using Three.js Library
Curves803.2.4PartitioningofFergusonCurveSegments843.2.5IncreaseofDegreeofaFergusonCurveSegment853.3Surfaces873.3.1FergusonSurfacePatch873.3.2TheCoonsSurfacePatches(1964)913.3.3TheCoonsSurfacePatches(1967)1023.3.4TwistVectorsandSurfaceShapes1123.3.5MethodsofDeterminingTwistVectors1173.3.6PartialSurfaceRepresentationofthe...
Basis Functions for Rational Continuity (August 1985) Geometric Continuity: A Parametrization Independent Measure of Continuity for Computer Aided Geometric Design, Ph.D. thesis, Computer Science ... D Manocha,BA Barsky - Springer Japan 被引量: 3发表: 1990年 Reparametrization and its application in...
摘要: Representations of cubic and bicubic splines are given, combining the advantages of B-splines with the handiness of Bézier technique. The Bézier points of spline curves and surfaces are found by...关键词: adjustment of factors adjusted orthogonality factorial experiment nonorthogonal design ...