Publication result detail

Low-error Reconstruction of Directional Functions with Spherical Harmonics

VLNAS, M.; MILET, T.; ZEMČÍK, P.

Original Title

Low-error Reconstruction of Directional Functions with Spherical Harmonics

English Title

Low-error Reconstruction of Directional Functions with Spherical Harmonics

Type

WoS Article

Original 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.

English 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.

Keywords

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

Key words in English

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

Authors

VLNAS, M.; MILET, T.; ZEMČÍK, P.

Released

05.09.2025

ISBN

1077-2626

Periodical

IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS

Volume

31

Number

10

State

United States of America

Pages from

8413

Pages to

8424

Pages count

12

URL

https://ieeexplore.ieee.org/document/11005717

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="2025",
  volume="31",
  number="10",
  pages="8413--8424",
  doi="10.1109/TVCG.2025.3570092",
  issn="1077-2626",
  url="https://ieeexplore.ieee.org/document/11005717"
}