{"id":{"repo_id":"unlv","oai_identifier":"oai:oasis.library.unlv.edu:rtds-1263"},"canonical_url":"https://search.dev.ndltd.org/etd/unlv/oai:oasis.library.unlv.edu:rtds-1263","repository":{"repo_id":"unlv","name":"University of Nevada - Las Vegas","base_url":"https://oasis.library.unlv.edu/do/oai/"},"display":{"title":"A deterministic surface estimation algorithm using parametric line equations","abstract":"In this thesis we develop a new deterministic surface estimation algorithm. Given a network of scattered data in the three-dimensional space, we use the Delaunay's Triangulation Method to connect the given points with triangles, subsequently we use out method to interpolate within the path defined by each triangle. The resulted patches have geometric continuity, and the generated surface is also geometrically continuous. 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