Log-Aesthetic Curves for Shape Completion Problem
Log-Aesthetic Curves for Shape Completion Problem
复制标题
形状完成问题的对数美学曲线
DOI：
10.1155/2014/960302
复制
发表时间：
2014
影响因子：
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通讯作者：
Kenjiro T. Miura
中科院分区：
文献类型：
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作者：
R. U. Gobithaasan;Yip Siew Wei;Kenjiro T. Miura
具有完整边界或轮廓的物体在各种设计和计算机图形功能中至关重要。由于各种原因，对象的某些部分可能会丢失，从而增加了设计过程的复杂性。因此，在保留其美观外观的同时重建物体缺失的部分非常重要。在本文中，我们提出了用于形状完成问题的对数美学曲线（LAC）。我们提出了一种算法来构造 LAC 段，然后以 C 形或 S 形填充缺失部分的间隙。对于 C 形完成，我们通过指定两个端点及其间隙之间各自的切线方向来定义 LAC 段，而对于 S 形，用户在端点之间定义一个拐点。最后一部分说明了三个示例来展示所提出算法的效率。结果进一步与 Kimia 的方法进行比较，证明该算法产生同样好的结果。此外，所提出的算法提供了额外的自由度，用户可以选择他们想要解决形状完成问题的螺旋类型。
An object with complete boundary or silhouette is essential in various design and computer graphics feats. Due to various reasons, some parts of the object can be missing hence increasing the complexity in designing process. It is therefore important to reconstruct the missing parts of an object while retaining its aesthetic appearance. In this paper, we propose Log‐Aestheic Curves (LAC) for shape completion problem. We propose an algorithm to construct LAC segment and subsequently fit into the gap of the missing parts with C‐shape or S‐shape. For C‐shape completion, we define LAC segment by specifying two endpoints and their respective tangent directions between the gaps while, for S‐shape, the user defines an inflection point in between the endpoints. The final section illustrates three examples to showcase the efficiency of the proposed algorithm. The results are further compared with Kimia’s method to prove that the algorithm produces equally good result. Additionally, the proposed algorithm provides an extra degree of freedom in which the user would be able to choose the type of spiral that they desire to solve the shape completion problem.