Flow Symmetrization for Parameterized Constrained Diffeomorphisms

Aalok Gangopadhyay, Dwip Dalal, Progyan Das, Shanmuganathan Raman

Indian Institute of Technology Gandhinagar, India

{aalok, dwip.dalal, progyan.das, shanmuga}@iitgn.ac.in

Abstract

This paper introduces a novel method for flow symmetrization under parameterized constraints, offering a mathematically grounded solution to preserve structural integrity during deformation. Our approach ensures diffeomorphic properties while enabling constrained modifications, making it applicable to domains requiring both flexibility and theoretical soundness in geometric transformations.