5 citations · 14 across the 8 of their papers we have counts for
9 papers
Space Mapping of Spline Spaces over Hierarchical T-meshes
Jingjing Liu, Fang Deng, Jiansong Deng
In this paper, we construct a bijective mapping between a biquadratic spline space over the hierarchical T-mesh and the piecewise constant space over the corresponding crossing-ver…
Modified PHT-splines
Qian Ni, Xuhui Wang, Jiansong Deng
The local refinement of PHT-splines (polynomial splines over hierarchical T-meshes) is achieved by a simple cross insertion, which may introduce superfluous control points or coeff…
Recursive process for constructing the refinement rules of new combined subdivision schemes and its extended form
Rabia Hameed, Ghulam Mustafa
In this article, we present a new method to construct a family of (2N+2)-point binary subdivision schemes with one tension parameter where N is a non-negative integer. The construc…
Numerical integration over implicitly defined domains with topological guarantee
Tianhui Yang, Ammar Qarariyah, Hongmei Kang +1
Numerical integration over the implicitly defined domains is challenging due to topological variances of implicit functions. In this paper, we use interval arithmetic to identify t…
Dimensions of Biquadratic and Bicubic Spline Spaces over Hierarchical T-meshes
Chao Zeng, Fang Deng, Xin Li +1
This paper discusses the dimensions of biquadratic C1 spline spaces and bicubic C2 spline spaces over hierarchical T-meshes using the smoothing cofactor-conformality method. We obt…
Approximating rational Bezier curves by constrained Bezier curves of arbitrary degree
Mao Shi, Jiansong Deng
In this paper, we propose a method to obtain a constrained approximation of a rational Bézier curve by a polynomial Bézier curve. This problem is reformulated as an approximation p…
On the dimension of splines spaces over T-meshes with smoothing cofactor-conformality method
Xin Li
The present paper provides a general formula for the dimension of spline space over T-meshes using smoothing cofactor-conformality method. And we introduce a new notion, Diagonaliz…
The Dimension of Spline Spaces with Highest Order Smoothness over Hierarchical T-meshes
Meng Wu, Jiansong Deng, Falai Chen
This paper discusses the dimension of spline spaces with highest order smoothness over hierarchical T-meshes over certain type of hierarchical T-meshes. The major step is to set up…
Dimensions of Biquadratic Spline Spaces over T-meshes
Jiansong Deng, Falai Chen, Liangbing Jin
This paper discusses the dimensions of the spline spaces over T-meshes with lower degree. Two new concepts are proposed: extension of T-meshes and spline spaces with homogeneous bo…