Научная визуализация, 2025, том 17, номер 4, страницы 112 - 123, DOI: 10.26583/sv.17.4.11
Visualization of Spectral Scenes Using Fourier Series
Авторы: Р.О. Родионов1,А,В, Е.В. Приходько2,B, В.А. Фролов3,А,В, А.Г. Волобой4,A
A Институт прикладной математики им. М.В. Келдыша Российской академии наук
B Институт перспективных исследований проблем искусственного интеллекта и интеллектуальных систем МГУ имени М.В. Ломоносова
1 ORCID: 0009-0000-5044-9963, roman.rodionov@graphics.cs.msu.ru
2 ORCID: 0009-0007-8043-9302, egor.prikhodko@graphics.cs.msu.ru
3 ORCID: 0000-0001-8829-9884, vladimir.frolov@graphics.cs.msu.ru
4 ORCID: 0000-0003-1252-8294, voloboy@gin.keldysh.ru
Аннотация
This paper presents spectral rendering method that addresses key challenges in storing and processing spectral data. The proposed approach represents light and material properties using truncated Fourier coefficients, allowing spectra to be stored and manipulated compactly. This representation reduces memory usage and computational overhead while preserving the accuracy of spectral information during rendering. The method enables efficient reconstruction of stored spectral functions and simplifies operations such as color conversion. Several strategies for transforming Fourier coefficients within a path tracing framework are investigated, including different spectrum-to-color conversion techniques, such as using zeroth Fourier coefficient to directly convert Fourier-based spectrum to color. Experimental results show that the proposed method provides rendering quality comparable to traditional approaches while producing lower color noise and similar computation times. The method is particularly effective for fast preview and interactive rendering, where low samples per pixel are used and color noise strongly affects visual perception. Also, the paper describes applications of proposed method in neural rendering for storing BRDF using compact neural networks. Furthermore, variance reduction approach based on Fourier coefficients is proposed.
Ключевые слова: spectral rendering, Fourier series, neural material models.
