The construction of smooth parametric surfaces, such as Bézier patches and B-spline surfaces, is a basic problem in computer graphics, geometric modeling, CAGD and reverse engineering. In more of surface generation methods, a control mesh, which is a set of vertices, edges and faces, are used. There are several methods to generate smooth spline surface over regular and irregular meshes. These methods can be categorized into two groups: subdivision surfaces and spline surfaces. The first group iteratively applies refinement procedure over a mesh of polygons. In the limit, a smooth surface is created. The second group usually uses once or more refinement procedure over an irregular mesh, then a parametric surface patch is constructed to each vertex of the new refined mesh. This book intended to consider these two categories of smooth surface generation algorithms. In addition, this book outlines the basic concepts and definitions behind parametric curves and surfaces, smoothness, control meshes, and subdivision surfaces.
The construction of smooth parametric surfaces, such as Bézier patches and B-spline surfaces, is a basic problem in computer graphics, geometric modeling, CAGD and reverse engineering. In more of surface generation methods, a control mesh, which is a set of vertices, edges and faces, are used. There are several methods to generate smooth spline surface over regular and irregular meshes. These methods can be categorized into two groups: subdivision surfaces and spline surfaces. The first group iteratively applies refinement procedure over a mesh of polygons. In the limit, a smooth surface is created. The second group usually uses once or more refinement procedure over an irregular mesh, then a parametric surface patch is constructed to each vertex of the new refined mesh. This book intended to consider these two categories of smooth surface generation algorithms. In addition, this book outlines the basic concepts and definitions behind parametric curves and surfaces, smoothness, control meshes, and subdivision surfaces.
Provides a unified account of the most popular approaches to nonparametric regression smoothing. This edition contains discussions of boundary corrections for trigonometric series estimators;...
The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering, medicine, ...) with many interesting applications...
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and...
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