Fast PSF Synthesis with Defocused and Spherical Aberration
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866911703378165760 |
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| author | Ganino, Nicholas Guo, Qi |
| author_facet | Ganino, Nicholas Guo, Qi |
| contents | Accurately estimating the point spread function (PSF) of an optical system requires solving free-space wave propagation, which entails evaluating a diffraction integral. This integral is traditionally computed numerically using Fast Fourier Transform (FFT) or Hankel Transform, as it lacks a closed-form solution. We show that, under defocus and spherical aberration, the diffraction integral admits an approximate closed-form solution by combining a piecewise Bessel approximation with Gaussian-type integrals. Based on this result, we develop a fast wave-based PSF simulator with linear complexity in the radial resolution. The proposed, un-optimized simulator achieves up to a 2x speedup over Hankel-based integration and a 4x speedup over FFT while closely matching wave-optical PSFs, enabling efficient large-scale depth-of-field synthesis. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_21608 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fast PSF Synthesis with Defocused and Spherical Aberration Ganino, Nicholas Guo, Qi Image and Video Processing Accurately estimating the point spread function (PSF) of an optical system requires solving free-space wave propagation, which entails evaluating a diffraction integral. This integral is traditionally computed numerically using Fast Fourier Transform (FFT) or Hankel Transform, as it lacks a closed-form solution. We show that, under defocus and spherical aberration, the diffraction integral admits an approximate closed-form solution by combining a piecewise Bessel approximation with Gaussian-type integrals. Based on this result, we develop a fast wave-based PSF simulator with linear complexity in the radial resolution. The proposed, un-optimized simulator achieves up to a 2x speedup over Hankel-based integration and a 4x speedup over FFT while closely matching wave-optical PSFs, enabling efficient large-scale depth-of-field synthesis. |
| title | Fast PSF Synthesis with Defocused and Spherical Aberration |
| topic | Image and Video Processing |
| url | https://arxiv.org/abs/2605.21608 |