5 citations · 14 across the 8 of their papers we have counts for
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math.NA2019
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…
math.NA2019★ 1 cited
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…
math.NA2019★ 1 cited
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…