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    STUDIA MATHEMATICA - Issue no. 2 / 2021  
         
  Article:   SHEPARD OPERATOR OF LEAST SQUARES THIN-PLATE SPLINE TYPE.

Authors:  TEODORA CĂTINAȘ, ANDRA MALINA.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2021.2.02

Published Online: 2021-06-15
Published Print: 2021-06-30
pp. 257-265

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We obtain some new Shepard type operators based on the classical, the modified Shepard methods and the least squares thin-plate spline function. Given some sets of points, we compute some representative subsets of knot points following an algorithm described by J. R. McMahon in 1986.

Mathematics Subject Classification (2010): 41A05, 41A25, 41A80.

Keywords: Scattered data, Shepard operator, least squares approximation, thin-plate spline, knot points.
 
         
     
         
         
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