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首页> 外文期刊>Computer Animation and Virtual Worlds >Generating genus-n-to-m mesh morphing using spherical parameterization
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Generating genus-n-to-m mesh morphing using spherical parameterization

机译：使用球面参数化生成N-to-m网格变形

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摘要

Surface parameterization is a fundamental tool in computer graphics and benefits many applications such as texture mapping, morphing, and re-meshing. Many spherical parameterization schemes with very nice properties have been proposed and widely used in the past. However, it is well known that the spherical parameterization is limited to genus-0 models. In this paper, we first propose a novel framework to extend spherical parameterization for handling a genus-n surface. In this framework, we represent a surface S of arbitrary genus by a positive mesh O and several negative meshes Ni. Each negative surface is used to represent a hole. A positive surface O is obtained by removing all holes in the original surface S. Then, both positive and negative meshes are genus-0 and can be spherically parameterized, respectively. To compute S, we can use a Boolean difference operation to subtract negative Ni from a positive O. Next, we apply this novel framework to generate genus-n-to-m mesh morphing application without restriction of n = m. Finally, there are many interesting non-genus-0 mesh morphing sequences generated. Copyright © 2006 John Wiley & Sons, Ltd.
机译：曲面参数化是计算机图形学中的基本工具，它使许多应用程序受益，例如纹理贴图，变形和重新网格化。过去已经提出并广泛使用了许多具有非常好的特性的球形参数化方案。但是，众所周知，球面参数化仅限于类0模型。在本文中，我们首先提出了一个新颖的框架来扩展球面参数化处理n类曲面。在这个框架中，我们用正网格O和几个负网格Ni表示任意属的表面S。每个负表面用于表示一个孔。通过去除原始表面S中的所有孔，可以获得正表面O。然后，正网格和负网格均为genus-0，并且可以分别进行球形参数化。为了计算S，我们可以使用布尔差分运算从正O减去负Ni。接下来，我们应用这个新颖的框架来生成属n-to-m网格变形应用程序，而不受n restriction = m的限制。最后，产生了许多有趣的非属0网格变形序列。版权所有©2006 John Wiley＆Sons，Ltd.

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