NTRS - NASA Technical Reports Server

Back to Results
Use of shape-preserving interpolation methods in surface modelingIn many large-scale scientific computations, it is necessary to use surface models based on information provided at only a finite number of points (rather than determined everywhere via an analytic formula). As an example, an equation of state (EOS) table may provide values of pressure as a function of temperature and density for a particular material. These values, while known quite accurately, are typically known only on a rectangular (but generally quite nonuniform) mesh in (T,d)-space. Thus interpolation methods are necessary to completely determine the EOS surface. The most primitive EOS interpolation scheme is bilinear interpolation. This has the advantages of depending only on local information, so that changes in data remote from a mesh element have no effect on the surface over the element, and of preserving shape information, such as monotonicity. Most scientific calculations, however, require greater smoothness. Standard higher-order interpolation schemes, such as Coons patches or bicubic splines, while providing the requisite smoothness, tend to produce surfaces that are not physically reasonable. This means that the interpolant may have bumps or wiggles that are not supported by the data. The mathematical quantification of ideas such as physically reasonable and visually pleasing is examined.
Document ID
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Ftitsch, F. N.
(Drexel Univ.)
Date Acquired
August 12, 2013
Publication Date
March 1, 1984
Publication Information
Publication: NASA. Langley Research Center Computer-Aided Geometry Modeling
Subject Category
Computer Programming And Software
Accession Number
Funding Number(s)
Distribution Limits
Work of the US Gov. Public Use Permitted.
Document Inquiry

Available Downloads

There are no available downloads for this record.
No Preview Available