@Article{cmc.2019.03752,
AUTHOR = {Gang  Xu, Yufan  Zhu, Lishan  Deng, Guozhao  Wang, Bojian  Li, Kin-chuen  Hui},
TITLE = {Efficient Construction of B-Spline Curves with Minimal Internal Energy},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {58},
YEAR = {2019},
NUMBER = {3},
PAGES = {879--892},
URL = {http://www.techscience.com/cmc/v58n3/23032},
ISSN = {1546-2226},
ABSTRACT = {In this paper, we propose an efficient method to construct energy-minimizing B-spline curves by using discrete mask method. The linear relations between control points are firstly derived for different energy-minimization problems, then the construction of B-spline curve with minimal internal energy can be addressed by solving a sparse linear system. The existence and uniqueness of the solution for the linear system are also proved. Experimental results show the efficiency of the proposed approach, and its application in <i>G</i><sup>1</sup> blending curve construction is also presented.},
DOI = {10.32604/cmc.2019.03752}
}