Interactive Restoration of Implicitly Defined Shapes
Interactive Restoration of Implicitly Defined Shapes
复制标题
隐式定义形状的交互式恢复
DOI：
10.1007/978-3-031-02097-1_13
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Nakata Susumu
中科院分区：
文献类型：
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作者：
Ren Jiayu;Fujita Yoshihisa;Nakata Susumu
基于隐函数的形状表示是一种流行的几何造型方法，在计算机图形学和仿真领域有着广泛的应用，如散乱点集的曲面重构、基于构造性实体几何的形状造型和基于粒子的流体模拟等。虽然已经提出了许多不同的生成和渲染方法，生成的表面很可能有不规则的组件，如孤立的长窄部分，意外附加的尖峰和噪声样的光滑曲线上的波纹。这些问题是由多种原因引起的，包括表面生成算法的限制、扫描机器的鲁棒性的缺乏（其导致输入点集上的缺陷）以及要生成的期望形状的复杂性。有必要提出能够对不规则表示形状进行解释的算法作为后处理。在本文中，已经提出了三种方法来应用用户交互式表示的2D隐式表示的形状与不规则组件，其中用户被期望指定的不规则部分的位置，因为人们往往有很好的理解，他们创建的形状。实验结果表明，该方法能够对二维隐式表示形状上的不规则分量进行快速有效的校正。
Shape representation using implicit functions is one of the popular geometric modeling methods and used for variety of important applications in the area of computer graphics and simulations, such as surface reconstruction from unorganized point sets, shape modeling based on constructive solid geometry and fluid simulation based on particles. Although many different generation and rendering approaches have been proposed, the generated surfaces are likely to have irregular components such as isolations of long-narrow parts, unexpectedly attached spikes and noise-like ripples on smooth curves. Such problems are caused by a variety of reasons, including the limitations of surface generation algorithms, lack of robustness of scanning machine that cause defects over the input point set and the complexity of the desired shape to generate. It is necessary to propose algorithms that are able to give restorations to the irregular represented shapes as post-processing. In this paper, three methods have been proposed to apply user-interactive restorations of 2D implicitly represented shapes with irregular components, where users are expected to specify locations of irregular part as people often have good understanding of the shape that they create. Experiments have shown that the proposed methods are competent to make fast and effective restorations and corrections of irregular components on 2D implicitly represented shapes.