This paper introduces a new method to stylize 3D geometry. The key observation is that the surface normal is an effective instrument to capture different geometric styles. Centered around this observation, we cast stylization as a shape analogy problem, where the analogy relationship is defined on the surface normal. This formulation can deform a 3D shape into different styles within a single framework. One can plug-and-play different target styles by providing an exemplar shape or an energy-based style description (e.g., developable surfaces). Our surface stylization methodology enables Normal Captures as a geometric counterpart to material captures (MatCaps) used in rendering, and the prototypical concept of Spherical Shape Analogies as a geometric counterpart to image analogies in image processing.

中文翻译：

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法向驱动球面类比

本文介绍了一种样式化3D几何的新方法。关键的观察结果是表面法线是捕获不同几何样式的有效工具。围绕此观察，我们将造型化作为形状类比问题，其中类比关系在表面法线上定义。此公式可以在单个框架内将3D形状变形为不同的样式。通过提供示例形状或基于能量的样式描述（例如，可展开的表面），可以即插即用不同的目标样式。我们的表面样式化方法使“法线捕捉”（Normal Captures）可以与渲染中使用的材质捕捉（MatCaps）进行几何匹配，并且可以将“球形形状类比”的原型概念作为图像处理中的图像类比的几何对应。