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The generic dimensions of the space of smooth splines of degree 7 on tetrahedral partitions
Authors:Xiquan Shi  Ben Kamau  Fengshan Liu  Baocai Yin
Institution:aDepartment of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901, USA;bBeijing Key Laboratory of Multimedia and Intelligent Software, College of Computer Science and Technology, Beijing University of Technology, Beijing 100022, China
Abstract:In this paper, we consider the spaces of once differentiable polynomial splines of degree 7 on tetrahedral partitions and give an expression for their generic dimensions.
Keywords:Multivariate splines  Simplex  Simplicial complex  Tetrahedral partition  Generic dimension
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