Fabrizio Patuzzo | Searcharxiv

arXiv2025

A Vector-Algebraic Reconstruction of the Medieval Arab Formula for the Shadow of a Gnomon

We present a modern reconstruction of the classical formula, first derived by medieval Arab astronomers, that describes the trajectory of the tip of a gnomon's shadow during the day as a function of latitude, solar declination, and gnomon height. Unlike the traditional derivations based on spherical trigonometry, our approach uses only elementary vector algebra and rotation matrices. The same vector framework naturally extends to other classical relations used in sundial construction.

math.HO↗

arXiv2020

A comparison of classical and variational autoencoders for anomaly detection

This paper analyzes and compares a classical and a variational autoencoder in the context of anomaly detection. To better understand their architecture and functioning, describe their properties and compare their performance, it explores how they address a simple problem: reconstructing a line with a slope.

cs.CV↗