3 papers
math.NA2023
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…
math.NA2023
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…
math.NA2023
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…