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On Wachspress pentagonal patches
Author(s) -
Choubey Nidhi,
Dikshit H.P.,
Ojha Aparajita
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700689
Subject(s) - quadrilateral , barycentric coordinate system , surface (topology) , interpolation (computer graphics) , mathematics , point (geometry) , pentagon , geometry , combinatorics , pure mathematics , computer science , motion (physics) , engineering , structural engineering , artificial intelligence , finite element method
Abstract Wachspress quadrilateral patches have been recently studied from the point of view of applications to surface modelling in CAGD [1], [3], [4]. Some more applications for defining barycentric coordinates for arbitrary polygons have also been presented in [5] [9]. The purpose of the present paper is to introduce non‐negative Wachspress rational basis functions for surface modelling on pentagonal partitions. Interpolation formula for function values and directional derivatives at the vertices of pentagon has been presented. Conditions for C 1 – continuity of the composite surface have also been studied in the paper. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)