|Title:||Interpolation of Arbitrarily Located Hyperthermia Data Using B-Splines: Simulations and in Vivo Experimental Study||Authors:||LIN, WIN-LI
CLEGG SCOTT T.
ROEMER ROBERT B.
|Keywords:||內插法;B-SPLINE;高溫療法;INTERPOLATION;B-SPLINE;HYPERTHERMIA||Issue Date:||1993||Source:||醫學工程,v.5||Journal Issue:||n.3||Start page/Pages:||352-365||Abstract:||
In many engineering application it is sometimes necessary to determine the complete temperature field from a finite number of measurements. One method for determining the complete temperature field requires that the thermal process be modeled using finite differences, for example. This presents a problem since the input energy must be known at all the finite difference nodes. In experimental situations a large number of measurements are available, thus it may be possible to fit this data to a polynomial interpolation function to provide the necessary energy deposition information. In this paper, an algorithm for fitting measured data to polynomials is presented. It fits a spline based function to a set of irregularly spaced three- dimensional data within a cube. The coefficients of this spline representation are obtained by minimization of a square error. The solution of this problem is linear and the system is arranged in a matrix from for ease of computation. Instead of using gradient or curvature end conditions for this complex three dimenstional problem, an order-reduction approach is used. Results of applying this algorithm to data generated from known functions with varying degree of irregularly spaced data are shown. In addition, results of applying this method to experimentally measured data are given. This same procedure has the potential of being applied to other experimental problems in which large amounts of three-dimensional data are taken.# A5293059
|Appears in Collections:||醫學工程學研究所|
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