Quantum-Enhanced Geometric Modeling (QGEM)

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper presents Quantum-Enhanced Geometric Modeling (QGEM), a novel approach to geometric modeling that leverages quantum algorithms to accelerate computations and improve precision. The core concept revolves around utilizing quantum phenomena, specifically superposition and entanglement, to represent and manipulate geometric data, leading to significant improvements in the speed and accuracy of geometric calculations. This research explores the potential of QGEM for various geometric tasks, including surface reconstruction, geometric analysis, and representation learning. The paper details the implementation of a quantum algorithm specifically designed for the task of geometric simplification, showcasing its superior performance compared to classical algorithms. The potential impact of QGEM on diverse fields, including computer graphics, robotics, and scientific visualization, is discussed.

DOI: 10.5281/zenodo.22194416

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