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Dynamic spline bas-relief modeling with isogeometric collocation method
Computer Aided Geometric Design ( IF 1.3 ) Pub Date : 2020-07-15 , DOI: 10.1016/j.cagd.2020.101913
Jinlan Xu , Chengnan Ling , Gang Xu , Zhongping Ji , Xiangyang Wu , Timon Rabczuk

In this paper, we propose a novel framework for dynamic spline bas-relief modeling based on isogeometric collocation method. In the proposed method, the bas-relief model is separated into two parts: the base surface and the relief surface; and both of them are represented in spline form. To simplify the construction, the spline bases for representing the base surface and relief surface are in the same spline space. Then the bas-relief surface can be added to the deformed base surface in normal direction directly, which can preserve the shape of bas-relief automatically. In our framework, efficient isogeometric collocation method is used to solve the PDE problems involved in the spline bas-relief construction. In general, the proposed method is efficient, easy to implement, and can produce high-quality bas-relief models. The proposed method has been tested with a set of binary images to show its effectiveness, especially for the Chinese calligraphy.



中文翻译:

等几何配点法的动态样条浮雕建模

本文提出了一种基于等几何配点法的动态样条浮雕建模新框架。在所提出的方法中,将浅浮雕模型分为两部分:基础表面和浮雕表面。它们都以样条线形式表示。为了简化构造,用于表示基础曲面和后刀面的样条曲线基部位于相同的样条曲线空间中。然后可以将浮雕表面直接沿法线方向添加到变形的基面中,这样可以自动保留浮雕形状。在我们的框架中,有效的等几何配点方法用于解决样条浮雕构造中涉及的PDE问题。通常,所提出的方法是有效的,易于实现的并且可以产生高质量的浮雕模型。

更新日期:2020-07-15
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