Geometric continuity and convex combination patches, Computer Aided Geometric Design 4 - Gregory, Hahn - 1987 () Citation Context ... [33]). Various methods of local interpolation have been surveyed and explaine
Geometric Continuity 14 Uniformly-Shaped Beta-spline Surfaces 15 Geometric Continuity, Reparametrization, and the Chain Rule 16 Continuously-Shaped Beta-splines 17 An Explicity Formulation for Cubic Beta-splines 18 Discretely-Shaped Beta-splines 19 B-spline Representations for Beta-splines 20 Rendering ...
From recent reports on research in Computer Aided Geometric Design as well as in Computer Aided Design and Computer Aided Manufacturing, it seems that cubic splines with geometric continuity rather than mathematical continuity are more appropriate for computer graphics applications. This article examines ...
Conic curve is a basic element in computer graphics and computer aided geometric design. 二次曲线是计算机图形学和计算机辅助几何设计中的基本体素之一。 The computation of geometric continuity is one of the key problems in Computer Aided geometric Design (CAGD). 几何连续性的求解是计算机辅助几何设计...
The greater flexibility for controlling continuity is one advantage of NURBS. It can precisely model nearly all kinds of surfaces more robustly than the polynomial-based curves that were used in earlier surface models. The computer still defines the object in terms of a wireframe but can generate...
Let X be a compact domain of R3 such that its boundary ∂X has reach greater than ρ and has C3-continuity. Then, for these shapes and for the Gauss digitization process, integral principal curvature esti- mators κˆR1 and κˆR2 are multigrid convergent toward κ1 and κ2 for ...
rapid prototypingIn the Project GEMA geometry and mathematics, 62 prototypes were created to establish a conceptual and formal language of the internal architecture of the solids that maintains a progressive continuity through mathematics, to explore and analyze the changes generated by the points, ...
12、没有解析表达,难以计算微分量) It is difficult to construct surfaces of higher order continuity 22More examples23Geometric representation细分曲面L-systems & Particle systems (4st edition, chapter 23)隐式曲面物体的CSG 树表示24Representation of natural scenesModeling natural scenes is a challenge prob...
The adaptation is performed using certain criteria of the tool path quality, such as kinematics error, scallops, possible undercuts or overcuts, and the continuity of the path. Also covered are complex pocket milling employing geometric patterns capable of following the boundary, such as the ...
The method uses a version of the explicit geometry suitable for raytracing to generate an initial crude version of the level set, then applies a number of continuity fixes to minimize effects of imperfect geometry, as well as smoothing to give a high quality output. The output of this ...