We present a method for visualizing three dimensional vector fields which are defined on a two dimensional manifold only. These vector fields do exist in real application, as we show by an example of an optical measuring instrument which can gauge the displacement at the surface of a mechanical part. The general idea is to compute LIC textures in the manifold's tangent space and to deform the manifold according to the normal information. The resulting LIC texture is mapped onto the deformed manifold and is rendered as a three dimensional scene. Due to the light's reflection on the deformed manifold, one can interactively explore the result of the deformation.
我们提出了一种可视化仅在二维流形上定义的三维矢量场的方法。这些矢量场确实存在于实际应用中,正如我们通过一个光学测量仪器的示例所示,该仪器可以测量机械零件表面的位移。总体思路是计算流形的切线空间中的LIC纹理,并根据法线信息使流形变形。生成的LIC纹理被映射到变形的歧管上,并呈现为三维场景。由于光在变形歧管上的反射,因此可以交互地探索变形的结果。 P>
Department of Computer Science, University of Kaiserslautern, Germany;
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