{"id":{"repo_id":"unlv","oai_identifier":"oai:oasis.library.unlv.edu:rtds-1340"},"canonical_url":"https://search.dev.ndltd.org/etd/unlv/oai:oasis.library.unlv.edu:rtds-1340","repository":{"repo_id":"unlv","name":"University of Nevada - Las Vegas","base_url":"https://oasis.library.unlv.edu/do/oai/"},"display":{"title":"A cubic and bicubic method for curve and surface estimation","abstract":"A deterministic cubic and bicubic method for curve and surface estimation is presented. The method presented, does not assume that the surface to be estimated, based on a given set of data in the three dimensional space, has a continuous first or second derivatives. The given data does not have to be equidistant. Also, since the method leads to parametric equations for the patches of the surface, the estimating surface does not need to be a function. Parameters {dollar}h\\sb{i,j}{dollar} are used for continuity and stress.","abstract_html":"A deterministic cubic and bicubic method for curve and surface estimation is presented. The method presented, does not assume that the surface to be estimated, based on a given set of data in the three dimensional space, has a continuous first or second derivatives. The given data does not have to be equidistant. Also, since the method leads to parametric equations for the patches of the surface, the estimating surface does not need to be a function. 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