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Volume 15, Issue 2
A Class of $C^1$ Discrete Interpolants over Tetrahedra

X. C. Liu

J. Comp. Math., 15 (1997), pp. 149-158.

Published online: 1997-04

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  • Abstract

Smooth interpolants defined over tetrahedra are currently being developed for they have many applications in geography, solid modeling, finite element analysis, etc. In this paper, we will characterize a certain class of $C^1$ discrete tetrahedral interpolants with only $C^1$ data required. As special cases of the class characterized, we give two $C^1$ discrete tetrahedral interpolants which have concise expressions.

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@Article{JCM-15-149, author = {X. C. Liu}, title = {A Class of $C^1$ Discrete Interpolants over Tetrahedra}, journal = {Journal of Computational Mathematics}, year = {1997}, volume = {15}, number = {2}, pages = {149--158}, abstract = {

Smooth interpolants defined over tetrahedra are currently being developed for they have many applications in geography, solid modeling, finite element analysis, etc. In this paper, we will characterize a certain class of $C^1$ discrete tetrahedral interpolants with only $C^1$ data required. As special cases of the class characterized, we give two $C^1$ discrete tetrahedral interpolants which have concise expressions.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9196.html} }
TY - JOUR T1 - A Class of $C^1$ Discrete Interpolants over Tetrahedra AU - X. C. Liu JO - Journal of Computational Mathematics VL - 2 SP - 149 EP - 158 PY - 1997 DA - 1997/04 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9196.html KW - AB -

Smooth interpolants defined over tetrahedra are currently being developed for they have many applications in geography, solid modeling, finite element analysis, etc. In this paper, we will characterize a certain class of $C^1$ discrete tetrahedral interpolants with only $C^1$ data required. As special cases of the class characterized, we give two $C^1$ discrete tetrahedral interpolants which have concise expressions.

X. C. Liu. (1997). A Class of $C^1$ Discrete Interpolants over Tetrahedra. Journal of Computational Mathematics. 15 (2). 149-158. doi:
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