7 citations · 10 across the 5 of their papers we have counts for
5 papers
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…
Point-Normal Subdivision Curves and Surfaces
Xunnian Yang
This paper proposes to generalize linear subdivision schemes to nonlinear subdivision schemes for curve and surface modeling by refining vertex positions together with refinement o…
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…
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…
Dynamic evaluation of exponential polynomial curves and surfaces via basis transformation
Xunnian Yang, Jialin Hong
It is shown in "SIAM J. Sci. Comput. 39 (2017):B424-B441" that free-form curves used in computer aided geometric design can usually be represented as the solutions of linear differ…