论文标题
在具有八面体对称性的球形谐波上
On spherical harmonics possessing octahedral symmetry
论文作者
论文摘要
在本文中，我们介绍了与八面体对称性的一类特殊类型的球形谐波的隐式方程。基于此表示，我们构建了偏离指定对称性的旋转不变的度量。我们认为的球形谐波在方向场设计领域具有某些应用，因为它们可以在3D空间中表示相互正交的轴，而不是相对于它们的顺序和方向。
In this paper, we present the implicit equations for one special class of real-valued spherical harmonics with octahedral symmetry. Based on this representation, we construct the rotationally invariant measure of deviation from the specified symmetry. The spherical harmonics we consider have some applications in the area of directional fields design due to their ability to represent mutually orthogonal axes in 3D space, not relative to their order and orientation.
