The displacement structure is extended to a Kronecker matrix W Z. A new class of Kronecker-like matrices with the displacement rank r, r < n will be formulated and presented. ...
We describe a physically-based Monte Carlo technique for approximating bidirectional reflectance distribution functions (BRDFs) for a large class of geometries by directly simulat...
Stephen H. Westin, James Arvo, Kenneth E. Torrance
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Abstract. We examine computational problems on quaternion matrix and rotation semigroups. It is shown that in the ultimate case of quaternion matrices, in which multiplication is s...
Shading complex materials such as acquired reflectances in multilight environments is computationally expensive. Estimating the shading integral requires multiple samples of the ...
Mahdi M. Bagher, Cyril Soler, Kartic Subr, Laurent...