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(Maximum 200 words) A theory for representing a parameter-dependent function as a function trajectory is described, along with the theory for determining a piecewise analytic fit to the trajectory. An example is given that illustrates the application of the theory to generating a smooth surface through a discrete set of input cross-section shapes. A simple procedure for smoothing in the parameter direction is presented, along with a computed example. Application of the theory to aerodynamic surface modeling is demonstrated by applying it to a blended wingfuselage surface. 14. SUBJECT TERMS 15. NUMBER OF PAGES Geometry modeling; Analytic modeling; Surface grid generation 13 16. PRICE CODE A03 17. SECURITY CLASSIFICATION 18. SECURITY CLASSIFICATION 19. SECURITY CLASSIFICATION 20. LIMITATION OF REPORT OF THIS PAGE OF ABSTRACT OF ABSTRACT Unclassified Unclassified NSN 7540-01-280-5500 Standard Form 298(Rev. 2-89) Prescribed by ANSI Std. Z39-18 298-102 NASA-Langley, Abstract A the..