Optimal Sampling of Parametric Surfaces
نویسندگان
چکیده
We study the problem of optimally sampling parametric surfaces by means of reparameterization. A criterion is first formulated for measuring the parameterization quality of a given surface. According to this criterion, the optimal parameterization is identified for the surface by exploring admissible reparameterizations. Then the optimal sampling of the surface is obtained by uniformly sampling the parameter domain of the optimal parameterization.
منابع مشابه
Density-Controlled Sampling of Parametric Surfaces Using Adaptive Space-Filling Curves
Low-discrepancy point distributions exhibit excellent uniformity properties for sampling in applications such as rendering and measurement. We present an algorithm for generating low-discrepancy point distributions on arbitrary parametric surfaces using the idea of converting the 2D sampling problem into a 1D problem by adaptively mapping a space-filling curve onto the surface. The 1D distribut...
متن کاملFast Low-discrepancy Sampling of Parametric Surfaces and Meshes
This paper summarises work on low-discrepancy sampling of parametric surfaces and meshes based on use of space-filling curves, and suggests two applications of such work: shape retrieval based on distance histograms, and non-photorealistic stroke-based rendering.
متن کاملMapping Independent Triangulation of Parametric Surfaces
Triangulation of parametric surfaces is important for visualization and finite element analysis. The wrong choice of parameterization can spoil a triangulation or even cause the algorithm to fail. We present a new method that uses a local inverse mapping for almost uniformly sampling and triangulating a surface, so that its parameterization becomes irrelevant; differential geometry provides alm...
متن کاملA mapping-independent primitive for the triangulation of parametric surfaces
This paper describes a new technique for the triangulation of parametric surfaces. Most earlier methods sample the parameter domain, and the wrong choice of parameterization can spoil the triangulation or even cause the algorithm to fail. Conversely, we use a local tessellation primitive to sample and triangulate the surface. The sampling is almost uniform and the parameterization becomes irrel...
متن کاملMatrix Representations by Means of Interpolation
We examine two different matrix representations of curves and surfaces based on or constructed by interpolation through points. Both are essentially implicit representations of objects given as parametric models or given as a point cloud, and both are quite powerful since they reduce geometric operations to linear algebra. First, we examine a representation by interpolation matrices, developed ...
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:
دوره شماره
صفحات -
تاریخ انتشار 2011