Publication Details

Low-error Reconstruction of Directional Functions with Spherical Harmonics

VLNAS, M.; MILET, T.; ZEMČÍK, P. Low-error Reconstruction of Directional Functions with Spherical Harmonics. IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 2026. ISSN: 1077-2626.
Czech title
Rekonstrukce směrových funkcí s nízkou chybou pomocí sférických harmonických funkcí
Type
journal article
Language
English
Authors
URL
Keywords

spherical harmonics, directional functions, ringing, spherical radial basis
functions, visualization, low-error reconstruction, light models

Abstract

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.

Published
2026 (in print)
Pages
12
Journal
IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, ISSN 1077-2626
DOI
EID Scopus
BibTeX
@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="2026",
  pages="12",
  doi="10.1109/TVCG.2025.3570092",
  issn="1077-2626",
  url="https://ieeexplore.ieee.org/document/11005717"
}
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