In this paper, we present the implicit representation of 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 relatively to their order and orientation.

翻译：在本文中,我们用八面线对称法来暗含一个特殊类别实际价值球体口音的表示。 根据这个表示法,我们构建了偏离特定对称的旋转无变的度量。我们认为球体口音在方向场设计领域有一些应用,因为它们有能力在3D空间而不是与其顺序和方向相对代表正对轴。