Detail publikačního výsledku

Low-error Reconstruction of Directional Functions with Spherical Harmonics

VLNAS, M.; MILET, T.; ZEMČÍK, P.

Originální název

Low-error Reconstruction of Directional Functions with Spherical Harmonics

Anglický název

Low-error Reconstruction of Directional Functions with Spherical Harmonics

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

VLNAS, M.; MILET, T.; ZEMČÍK, P.

Vydáno

05.09.2025

ISSN

1077-2626

Periodikum

IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS

Svazek

31

Číslo

10

Stát

Spojené státy americké

Strany od

8413

Strany do

8424

Strany počet

12

URL

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

Plný text v Digitální knihovně

http://hdl.handle.net/

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"
}