4 papers
Spectral boundary conditions for volumetric frame fields design
Yuri Nesterenko
Using the 4th and the 3rd degree spherical harmonics as the representations for volumetric frames, we describe a simple algebraic technique for combining multiple frame orientation…
Submatrices with the best-bounded inverses: revisiting the hypothesis
Yuri Nesterenko
The following hypothesis was put forward by Goreinov, Tyrtyshnikov and Zamarashkin in \cite{GTZ1997}. For arbitrary real matrix with orthonormal columns a sufficiently…
Octupoles for octahedral symmetry
Yuri Nesterenko
Spherical harmonics of degree 4 are widely used in volumetric frame fields design due to their ability to reproduce octahedral symmetry. In this paper we show how to use harmonics…
Unitary Similarity of Nonderogatory Matrices
Yuri R. Nesterenko
This paper is dedicated to the problem of verification of matrices for unitary similarity. For the case of nonderogatory matrices, we have been able to present the new solution for…