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.