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 Compu
Consider, for example, the problem of joining two trimmed surfaces in a smooth way. If they are to join along trim curves, there is no known method to ensure exact tangent plane continuity between them, as was the case for standard tensor patches. Such smoothness questions must be dealt ...
They define a parametric family by a continuity principle that postulates that, in a valid parameter range, small parameter changes lead to small changes of the solid's boundary, employing algebraic topology formalism. The formulation is illuminating. However, this investigation does not help the ...
Computer-aided geometric designMultisided patchesSweepingBlendingGeometric continuityCurve networkThis paper proposes a method of generating surfaces from a network of curves that have arbitrary parametric forms, and that intersect in an arbitrary topology. The surfaces generated from the network...
C2 parametric continuity of curves is achieved. S-shaped airfoils for compressors are beneficial in minimizing the separation and shock losses, as well as for improving efficiency, and they are feasible using the curvature method. Radial machines are also improved by using parametric manipulation tied...
in which each patch is represented by a different set of parametric polynomials. The parametric polynomials which describe adjacent patches of a NURBS surface provide a specific degree of continuity. The degree of continuity may be controlled so that a smooth surface or a surface with sharp corners...
In the first method, a real parametric variety of dimension n is finitely represented in a piecewise fashion by 2n bounded parameterizations with individual pieces meeting with Cu221e continuity; each bounded parameterization is a map from a unit simplex of the real parameter domain space. In the...
We vary with continuity the potential energy and study the relationship between the Dirichlet Laplacian and the Hamiltonian eigenbases with the functional map formalism. We develop a global analysis to capture the asymptotic behavior of the eigenpairs. We then focus on their local interactions, namely...
-continuity conditionsblending circular quadricsparametric patchesrational bicubic Bezier patchessurface blendingA method of blending circular quadrics with parametric patches is proposed in this paper. It needs n rational bicubic Bezier patches and two S-patches to blend n (n > 2) quadrics. The ...
The level of detail of an approximation may be variable over different portions of the boundary, and the continuity of the surface across different patches is guaranteed. 1 Introduction The approximation of curved surfaces through piecewise-linear (PL) surfaces made of triangular patches is a common...