Newton geometric iterative method for b-spline curve and surface approximation

Q Song, P Bo - Computer-Aided Design, 2024 - Elsevier
We introduce a progressive and iterative method for B-spline curve and surface
approximation, incorporating parameter correction based on the Newton iterative method …

Two novel iterative approaches for improved LSPIA convergence

C Liu, NC Wu, J Li, L Hu - Computer Aided Geometric Design, 2024 - Elsevier
This paper introduces two improved variants of the least squares progressive-iterative
approximation (LSPIA) by leveraging momentum techniques. Specifically, based on the …

Monge-Kantorovich Fitting With Sobolev Budgets

F Kobayashi, J Hayase, YH Kim - arxiv preprint arxiv:2409.16541, 2024 - arxiv.org
We consider the problem of finding the``best''approximation of an $ n $-dimensional
probability measure $\rho $ using a measure $\nu $ whose support is parametrized by …

Implicit uniform rational spline reconstruction method with regularization term

S Huang - IEEE Access, 2024 - ieeexplore.ieee.org
To improve the accuracy of implicit curve reconstruction and reduce the occurrence of
supplementary zero-level sets during the reconstruction process, we propose an implicit …