Constructing consistent fuzzy surfaces from fuzzy data
type: Item
instance of: scholarly article
title: Constructing consistent fuzzy surfaces from fuzzy data
zbMATH Open document ID: 1019.65015
DOI: 10.1016/S0165-0114(02)00139-2
author: Yanyan Li
published in: Fuzzy Sets and Systems
publication date: 2003-05-22T00:00:00Z
review text: Three algorithms are developed for the construction of fuzzy surfaces from fuzzy data sets that are consistent and maintain the underlying smoothness of the interpolation method being used to generate the surface. They capture the underlying uncertainty in the data and generate a set of surfaces faithful to this underlying uncertainty maintaining a prescribed level of smoothness in the presence of fuzzy altitudes. The algorithms are used to develop two and three-dimensional surfaces from fuzzy data for cubic splines and digital terrain models generated from triangulation.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 26E50
zbMATH DE Number: 1915151
zbMATH Keywords: fuzzy surfaces
zbMATH Keywords: fuzzy data
zbMATH Keywords: fuzzy interpolation
zbMATH Keywords: triangulation
zbMATH Keywords: algorithms
zbMATH Keywords: cubic splines
zbMATH Keywords: digital terrain models
reviewed by: Dana Petcu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1915151