Subdivision surfaces for CAD - an overview
Subdivision surfaces for CAD - an overview
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DOI：
10.1016/j.cad.2004.08.008
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发表时间：
2005-06-01
影响因子：
4.3
通讯作者：
Ma, WY
中科院分区：
文献类型：
--
作者：
Ma, WY
细分曲面是指从初始控制网格开始通过递归细分来定义对象的一类建模方案。与 B 样条线类似，最终曲面由初始控制网格的顶点定义。这些曲面最初被认为是具有任意拓扑控制网格的建模对象中样条线的扩展。与传统花键相比，它们具有许多优点。如今，人们可以找到多种用于几何设计和图形应用的细分方案。本文概述了细分曲面，特别强调了推广样条曲线的方案。解决了细分曲面建模的一些常见问题。讨论了方案构建、属性分析、参数评估和细分曲面拟合等几个关键主题。还总结了其他一些重要主题，以供未来潜在的研究和开发。提供了几个示例来强调 CAD 应用程序细分曲面的建模功能。 (c) 2004 Elsevier Ltd. 保留所有权利。
Subdivision surfaces refer to a class of modelling schemes that define an object through recursive subdivision starting from an initial control mesh. Similar to B-splines, the final surface is defined by the vertices of the initial control mesh. These surfaces were initially conceived as an extension of splines in modelling objects with a control mesh of arbitrary topology. They exhibit a number of advantages over traditional splines. Today one can find a variety of subdivision schemes for geometric design and graphics applications. This paper provides an overview of subdivision surfaces with a particular emphasis on schemes generalizing splines. Some common issues on subdivision surface modelling are addressed. Several key topics, such as scheme construction, property analysis, parametric evaluation and subdivision surface fitting, are discussed. Some other important topics are also summarized for potential future research and development. Several examples are provided to highlight the modelling capability of subdivision surfaces for CAD applications. (c) 2004 Elsevier Ltd. All rights reserved.