| Issue |
EPJ Web Conf.
Volume 335, 2025
EOS Annual Meeting (EOSAM 2025)
|
|
|---|---|---|
| Article Number | 02015 | |
| Number of page(s) | 2 | |
| Section | Topical Meeting - Adaptive and Freeform Optics | |
| DOI | https://doi.org/10.1051/epjconf/202533502015 | |
| Published online | 22 September 2025 | |
https://doi.org/10.1051/epjconf/202533502015
Zernike by ONE Pascal triangle
A high performance, low memory cost and flexible computation scheme for Zernike polynomials
Carl Zeiss Meditec AG
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Published online: 22 September 2025
Abstract
This work discovers two hidden cases of blockwise recurrence in Zernike computations. Based on these findings, a new computation scheme for Zernike polynomials is proposed. It uses one Pascal triangle for all internal factors, thus avoiding calculations of factorials, cos/sin, inverse matrix, etc., and meets the requirements of computational accuracy, high speed, low memory footprint, and flexibility.
© The Authors, published by EDP Sciences, 2025
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