Subdivision surface fitting with QEM-based mesh simplification and reconstruction of approximated B-spline surfaces

S. Takeuchi, Hiromasa Suzuki, F. Kimura, T. Kanai, K. Shimada
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引用次数: 31

Abstract

We present a general method for automatically reconstructing a network of B-spline patches based on the Doo-Sabin subdivision surface. This method consists of two parts, surface fitting and surface construction. In surface fitting, mesh simplification based on QEM (Quadric Error Metrics) is used and a control mesh that approximates a Doo-Sabin subdivision surface is constructed. In surface construction, we define a B-spline surface using a surface spline method; and a constructed network of B-spline patches is guaranteed G/sup 1/ continuous. In addition, this method has the advantage of enabling the user to select detail levels of the control mesh by utilizing a mesh simplification process.
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基于qem的细分曲面拟合及近似b样条曲面的网格简化与重构
提出了一种基于Doo-Sabin细分曲面的b样条补丁网络自动重构的通用方法。该方法由曲面拟合和曲面构造两部分组成。在曲面拟合中,采用基于二次误差度量(QEM)的网格简化方法,构造近似于Doo-Sabin细分曲面的控制网格。在曲面构造中,我们使用曲面样条法定义了一个b样条曲面;构造的b样条补丁网络保证G/sup 1/连续。此外,该方法的优点是使用户能够通过利用网格简化过程来选择控制网格的细节级别。
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