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| Hauptverfasser: | , , , , , , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2510.25699 |
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| _version_ | 1866912684924993536 |
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| author | Hyde, Charles Kerver, Mitch Tsolakis, Christos Thomadakis, Polykarpos Tsalikis, Spiros Garner, Kevin Angelopoulos, Angelos Purwanto, Wirawan Gavalian, Gagik Weiss, Christian Chrisochoides, Nikos |
| author_facet | Hyde, Charles Kerver, Mitch Tsolakis, Christos Thomadakis, Polykarpos Tsalikis, Spiros Garner, Kevin Angelopoulos, Angelos Purwanto, Wirawan Gavalian, Gagik Weiss, Christian Chrisochoides, Nikos |
| contents | We describe an iterative algorithm to construct an unstructured tessellation of simplices (irregular tetrahedra in 3-dimensions) to approximate an arbitrary function to a desired precision by interpolation. The method is applied to the generation of Compton Form Factors for simulation and analysis of nuclear femtography, as enabled by high energy exclusive processes such as electron-proton scattering producing just an electron, proton, and gamma-ray in the final state. While producing tessellations with only a 1% mean interpolation error, our results show that the use of such tessellations can significantly decrease the computation time for Monte Carlo event generation by $\sim23$ times for $10^{7}$ events (and using extrapolation, by $\sim955$ times for $10^{10}$ events). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25699 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 3-Dimensional Adaptive Unstructured Tessellated Look-up Tables for the Approximation of Compton Form Factors Hyde, Charles Kerver, Mitch Tsolakis, Christos Thomadakis, Polykarpos Tsalikis, Spiros Garner, Kevin Angelopoulos, Angelos Purwanto, Wirawan Gavalian, Gagik Weiss, Christian Chrisochoides, Nikos Numerical Analysis We describe an iterative algorithm to construct an unstructured tessellation of simplices (irregular tetrahedra in 3-dimensions) to approximate an arbitrary function to a desired precision by interpolation. The method is applied to the generation of Compton Form Factors for simulation and analysis of nuclear femtography, as enabled by high energy exclusive processes such as electron-proton scattering producing just an electron, proton, and gamma-ray in the final state. While producing tessellations with only a 1% mean interpolation error, our results show that the use of such tessellations can significantly decrease the computation time for Monte Carlo event generation by $\sim23$ times for $10^{7}$ events (and using extrapolation, by $\sim955$ times for $10^{10}$ events). |
| title | 3-Dimensional Adaptive Unstructured Tessellated Look-up Tables for the Approximation of Compton Form Factors |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2510.25699 |