3 papers
math.NA2023
Curve and surface construction with moving B-splines
Xunnian Yang
This paper proposes a simple technique of curve and surface construction with B-splines. Given a control polygon or a control mesh together with node ordinates corresponding to all…
math.NA2020
Conversion of matrix weighted rational Bézier curves to rational Bézier curves
Xunnian Yang
Matrix weighted rational Bézier curves can represent complex curve shapes using small numbers of control points and clear geometric definitions of matrix weights. Explicit formulae…
math.NA2019
Anisotropic Mesh Filtering by Homogeneous MLS Fitting
Xunnian Yang
In this paper we present a novel geometric filter, a homogeneous moving least squares fitting-based filter (H-MLS filter), for anisotropic mesh filtering. Instead of fitting the no…