@inproceedings{zheng2012fast,
author = {Zheng, Wenni and Bo, Pengbo and Liu, Yang and Wang,  Wenping},
title = {Fast B-spline curve fitting by L-BFGS},
booktitle = {Computer Aided Geometric Design},
year = {2012},
month = {April},
abstract = {We propose a fast method for fitting planar B-spline curves to unorganized data points. In traditional methods, optimization of control points and foot points are performed in two alternating time-consuming steps in every iteration: 1) control points are updated by setting up and solving a linear system of equations; and 2) foot points are computed by projecting each data point onto a B-spline curve. Our method uses the L-BFGS optimization method to optimize control points and foot points simultaneously and therefore it does not need to solve a linear system of equations or performing foot point projection in every iteration. As a result, the proposed method is much faster than existing methods},
publisher = {Elsevier},
url = {http://approjects.co.za/?big=en-us/research/publication/fast-b-spline-curve-fitting-l-bfgs/},
pages = {448-462},
volume = {29},
edition = {Computer Aided Geometric Design},
}