Curvature continuous spline surfaces over irregular meshes
نویسنده
چکیده
Conccpts and techniques for thc construction of spline surfaces over irregular meshes are developed and made concrete by exhibiting a family of 0 2 surface splines. These splines extend the B-spline paradigm for the construction of parametric piecewise polynomial surfaces to control_meshe9 with non quadrila.leral cells and mOre or fewer Lhan four cells meeting at a point. In particular, the mesh points serve Il.!I control points and are locally averaged to obtain the coefficients of a Bemstein·Bezicr representation. The construction of 0 2 surface splines in terms of three-sided Bemstein-Bczier patches is worked out in detail; the construcLion using four-sided patches or a mix of three-sided and four-sided patches is sketched.
منابع مشابه
Curvature continuous bi-4 constructions for scaffold- and sphere-like surfaces
Scaffold surfaces bound geometric structures that have a dual characterization as a curve network and a solid. A subset of scaffold surfaces can be modeled with minimal single-valence (MSV) meshes, i.e. meshes consisting of vertices of a single irregular valence n two of which are separated by exactly one regular, 4-valent vertex. We present an algorithm for constructing piecewise biquartic sur...
متن کاملB-spline Patches Fitting on Surfaces and Triangular Meshes
In this paper a technique for the construction of quartic polynomial B-spline patches fitting on analytical surfaces and triangle meshes is presented. The input data are curvature values and principal directions at a given surface point which can be computed directly, if the surface is represented by a vector function. In the case of discrete surface representation, i.e. on a triangle mesh the ...
متن کاملBiquartic C1-surface splines over irregular meshes
C 1-surface splines deene tangent continuous surfaces from control points in the manner of tensor-product (B-)splines, but allow a wider class of control meshes capable of outlining arbitrary free-form surfaces with or without boundary. In particular, irregular meshes with non quadrilateral cells and more or fewer than four cells meeting at a point can be input and are treated in the same conce...
متن کاملA comparison of Gaussian and mean curvature estimation methods on triangular meshes of range image data
Estimating intrinsic geometric properties of a surface from a polygonal mesh obtained from range data is an important stage of numerous algorithms in computer and robot vision, computer graphics, geometric modeling, and industrial and biomedical engineering. This work considers different computational schemes for local estimation of intrinsic curvature geometric properties. Four different algor...
متن کاملA comparison of Gaussian and mean curvatures estimation methods on triangular meshes
Estimating intrinsic geometric properties of a surface from a polygonal mesh obtained from range data is an important stage of numerous algorithms in computer and robot vision, computer graphics, geometric modeling, industrial and biomedical engineering. This work considers different computational schemes for local estimation of intrinsic curvature geometric properties. Five different algorithm...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Computer Aided Geometric Design
دوره 13 شماره
صفحات -
تاریخ انتشار 1996