Accession Number : ADA262389


Title :   Rational Approximation and Remote Temperature Sensing


Descriptive Note : Final rept. 1 Oct 89-30 Sep 90


Corporate Author : SOUTHEASTERN MASSACHUSETTS UNIV NORTH DARTMOUTH DEPT OF MATHEMATICS


Personal Author(s) : Leon, Steven J


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a262389.pdf


Report Date : 20 Nov 1990


Pagination or Media Count : 14


Abstract : In recent years there have been a number of papers dealing with methods for remote temperature sensing based on applying transform theory to the radiative transfer equation. In particular, methods based on optical measure theory method have the advantage that they do not require computations of numerical derivatives. In this paper we present techniques for approximating the radiance profile based on rational interpolation and nonlinear least squares data fitting. Optical measure theory permits the inversion of non-Laplacian exponential kernels. The models developed are easily extended to include generalized exponential weighting functions. We also introduce the concept of total nonlinear least squares data fitting.


Descriptors :   *MATHEMATICAL MODELS , *THEORY , *RADIATIVE TRANSFER , *REMOTE DETECTION , TEMPERATURE , COMPUTATIONS , WEIGHTING FUNCTIONS , PROFILES , RADIANCE , INTERPOLATION , INVERSION , EQUATIONS , MEASURE THEORY


Subject Categories : Numerical Mathematics
      Thermodynamics


Distribution Statement : APPROVED FOR PUBLIC RELEASE