3 papers
math.OC2026
Existence of Quantum Splines via Fourth-Order Gradient Flows
Chun-Chi Lin, Yang-Kai Lue, Dung The Tran
We establish a rigorous existence theory for the quantum splines introduced by Brody, Holm, and Meier in Physical Review Letters (2012). These curves arise as solutions of a variat…
math.OC2024
A gradient flow method for smooth splines versus least-squares fitting on Riemannian manifolds
Chun-Chi Lin, The Dung Tran
This article presents a novel resolution to the problem of spline interpolation versus least-squares fitting on smooth Riemannian manifolds utilizing the method of gradient flows o…
math.OC2023
Higher-order Riemannian spline interpolation problems: a unified approach by gradient flows
Chun-Chi Lin, Dung The Tran
This paper addresses the problems of spline interpolation on smooth Riemannian manifolds, with or without the inclusion of least-squares fitting. Our unified approach utilizes grad…