Thomas Peters

Papers

Total Citations

H-Index

About

Thomas Peters is a mathematician whose work bridges the abstract and the applied, with a primary focus on computational geometry and topology. His research explores how shapes and spaces can be transformed while preserving their fundamental structure—a question with deep implications for computer graphics, data analysis, and geometric modeling. Peters is best known for his 1995 paper "Polyhedral perturbations that preserve topological form," which has garnered 44 citations and remains a foundational reference in the field. In this work, he introduced rigorous methods for perturbing polyhedral complexes without altering their topological type, offering a powerful tool for simplifying complex geometric data while retaining essential features. This contribution has influenced subsequent research in mesh processing, shape analysis, and the study of discrete surfaces. Beyond this landmark paper, Peters has consistently advanced the understanding of how geometric objects can be manipulated under topological constraints, making his work essential reading for students and researchers interested in the intersection of geometry, topology, and computation.