Detail výsledku
Low-error Reconstruction of Directional Functions with Spherical Harmonics
Milet Tomáš, Ing., Ph.D., UPGM (FIT)
Zemčík Pavel, prof. Dr. Ing., dr. h. c., UPGM (FIT)
This paper proposes a novel approach for the low-error reconstruction of
directional functions with spherical harmonics. We introduce a modified version
of Spherical Gaussians with adaptive narrowness and amplitude to represent the
input data in an intermediate form. This representation is then projected into
spherical harmonics using a closed-form analytical solution. Because of the
spectral properties of the proposed representation, the amount of ringing
artifacts is reduced, and the overall precision of the reconstructed function is
improved. The proposed method is more precise comparing to existing methods. The
presented solution can be used in several graphical applications, as discussed in
this paper. For example, the method is suitable for sparse models such as
indirect illumination or reflectance functions.
spherical harmonics, directional functions, ringing, spherical radial basis
functions, visualization, low-error reconstruction, light models
@article{BUT197875,
author="Michal {Vlnas} and Tomáš {Milet} and Pavel {Zemčík}",
title="Low-error Reconstruction of Directional Functions with Spherical Harmonics",
journal="IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS",
year="2025",
volume="31",
number="10",
pages="8413--8424",
doi="10.1109/TVCG.2025.3570092",
issn="1077-2626",
url="https://ieeexplore.ieee.org/document/11005717"
}