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

Table 3

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

𝐬2(𝐧)	𝓢0	𝓢2	𝓢2+2	𝓢2+4
𝐒2	0,0	1,1
𝐒2+2	1,1545418	−43,4519	4,152
𝐒2+4	−101598,−44975141696	98,23236252624	−16,−4725128	16,3158
𝑎2(𝐧)	𝓐1	𝓐2+1	𝓐2+3	𝓐2+5
𝐀2+1	0,0	2,3
𝐀2+3	135,15447252914	−6011,−52547	8,352
𝐀2+5	−7733653001,−3200733910178960	63980,407785862723134	−112027,−72765688	32,6938