In this work, the notion of geometric continuity as a parametrization independent measure is extended for arbitrary order n(Gn), and for objects of arbitrary parametric dimension p. Two equivalent characterizations of geometric continuity are developed: one based on the notion of reparametrization, ...
This chapter focuses on geometric continuity with emphasis on a constructive definition for piecewise parametrized surfaces. 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 contin...
A. An intuitive approach to geometric continuity for parametric curves and surfaces. In Proceedings of Graphics Interface `85 (Montreal, Quebec, May 27-31, 1985), pp. 343-351. Revised version published in Computer-Generated Images-The State of the Art, N. Magnenat-Thalmann and D. Thalmann,...
geometric continuity constraints orientation discontinuities/ B6140C Optical information, image and video signal processing B0290F Interpolation and function approximation (numerical analysis) B0250 Combinatorial mathematics C5260B Computer vision and image processing techniques C4130 Interpolation and function ...
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 ...
It has been sitting in my to-be-processed queue for 7 years. I thought it was time to post it. The document shows how to generate smooth interpolation on lattice data with Cs continuity. February 1, 2020. Derivative Approximation by Finite Differences This is a major revision of the ...
For most applications, fourth-order polynomials were usually sufficient to maintain continuity of slope and curvature across boundaries and provide smooth surfaces, the minimum requirement for most engineering applications. Some applications requiring very smooth flowing curves, such as automotive body design...
The advantages of our algorithm are that it has a compact representation, it does not require the magnitudes of the tangent vectors or normal vectors, and it has C continuity. We compare our method with the conventional curve interpolation methods, namely, the standard point interpolation method,...
are accepted in this second review cycle will appear in the journal issue and be presented at the conference. Submissions with strong potentials but requiring major revisions will be recommended to Computer-Aided Geometric Design for a fast-track submission process with optional reviewer continuity. ...
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...