Superquadric tensor glyphs
Superquadric tensor glyphs
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DOI：
10.2312/vissym/vissym04/147-154
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发表时间：
2004-05
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影响因子：
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通讯作者：
G. Kindlmann
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文献类型：
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作者：
G. Kindlmann
张量场可视化是一项具有挑战性的任务，部分原因是单个张量样本的多变量性质。字形通过将张量特征向量和特征值映射到几何图元（例如长方体或椭圆体）的方向和形状来传达张量变量。虽然长方体和椭球体广泛存在，但它们存在不对称和视觉模糊的问题。长方体可能会显示具有潜在旋转对称性的张量的误导方向。从某些角度来看，由于轮廓和阴影的相似性，形状不同的椭球体可能会被混淆。本文通过基于超二次曲面的新的可调谐字形连续体解决了不对称和模糊性问题。超二次张量字形享有椭球体必要的对称特性，同时还模仿长方体和圆柱体，以在适当的情况下更好地传达形状和方向。新的字形在人脑的扩散张量场上得到了演示。
Tensor field visualization is a challenging task due in part to the multi-variate nature of individual tensor samples. Glyphs convey tensor variables by mapping the tensor eigenvectors and eigenvalues to the orientation and shape of a geometric primitive, such as a cuboid or ellipsoid. Though widespread, cuboids and ellipsoids have problems of asymmetry and visual ambiguity. Cuboids can display misleading orientation for tensors with underlying rotational symmetry. Ellipsoids differing in shape can be confused, from certain viewpoints, because of similarities in profile and shading. This paper addresses the problems of asymmetry and ambiguity with a new tunable continuum of glyphs based on superquadric surfaces. Superquadric tensor glyphs enjoy the necessary symmetry properties of ellipsoids, while also imitating cuboids and cylinders to better convey shape and orientation, where appropriate. The new glyphs are demonstrated on fields of diffusion tensors from the human brain.