Fabric Tensor Characterization of Tensor-Valued Directional Data: Solution, Accuracy, and Symmetrization

Table 2

Coefficients of the lower order fabric tensors of the second kind using symmetric characterization for vector-valued ODFs (2D and 3D).

𝐬𝟏(𝐧)	𝓢𝟏	𝓢𝟏+𝟐	𝓢𝟏+𝟒	𝐚𝟏(𝐧)	𝓐𝟎	𝓐𝟏+𝟏	𝓐𝟏+𝟑	𝓐𝟏+𝟓
𝐒1	1,1			𝐀1+1	0,0	2,3
𝐒1+2	−65,−4522	4,152		𝐀1+3	25,1522	−245,−10511	8,352
𝐒1+4	555,221134752664	−24017,−4725148	16,3158	𝐀1+5	−2765,−95112	684,6567528	−48013,−148516	32,6938