PPT-Spline Interpolation

Class XVII General definitions Spline function is a real function that consists of polynomial pieces joined together with some smoothness conditions Ie spline is a piecewise polynomial function. 5 Spline interpolation Givenatabulatedfunction a spline isapolynomialbetween each pair oftabulated pointsbutonewhosecoe57358cientsaredeterminedslightlynonlocally 57476enonlocalityisdesignedto guarantee The general approach is that the user enters a sequence of points and a curve is constructed whose shape closely follows this sequence The points are called control points A curve that actually passes through each control point is called an interpo Linear and Spline Interpolation The 64257rst function that we will look at is interp1m Speci64257cally we look at interpolation that 64257ts a local polynomial to the data in a small window to 64257ll in the extra information The synopsis of this f Multidimensions. Yunfei. . duan. . Hui . Pan. Bilinear interpolation . The concept of linear interpolation between two points can be extended to bilinear interpolation within the grid cell.. http://en.wikipedia.org/wiki/Bilinear_interpolation. : A Stata command for bivariate interpolation with particular application to 3D graphing . Joseph Canner, MHS. Xuan Hui, MD . ScM. Eric Schneider, PhD. Johns Hopkins University. Stata. Conference. Boston, MA. Hui. Pan, . Yunfei. . Duan. possible problem in physical measurement . Sometimes know the value of a function f(x) at a set of points, but we don’t have an analytic expression for f(x) that lets us calculate its value at an arbitrary point. . 11th European Space. Weather Week . Liege, BELGIUM. November 17-21 2014 . S. . Priyadarshi. and A. W. . Wernik. Space Research Center Poland . Using Dynamic Explorer (DE) 2 satellite in-situ data an empirical . Snake. : . A Flexible Tool for . Parametric Contour Detection. P. . Brigger. , J. . Hoeg. , and M. Unser. Presented by . Yu-. Tseh. Chi. Outlines. Snake revisited. B-. Spline. curve. B-Snake. B-. Spline. . Spline. Interpolation. . Research . Scholar. . Renuka. . Bokolia. . Objectives. To give a definition of Interpolation as it relates to GIS and mapping/surveying. To explain How Interpolation Works. Discuss Spatial Autocorrelation, Sample Size, and Interpolation Barriers. Hui. Pan, . Yunfei. . Duan. possible problem in physical measurement . Sometimes know the value of a function f(x) at a set of points, but we don’t have an analytic expression for f(x) that lets us calculate its value at an arbitrary point. . Multidimensions. Yunfei. . duan. . Hui . Pan. Bilinear interpolation . The concept of linear interpolation between two points can be extended to bilinear interpolation within the grid cell.. http://en.wikipedia.org/wiki/Bilinear_interpolation. disp('Pick interpolation points for the upper profile of the elephant.') [xup,yup] = ginput; yup = - yup; %%%%%%%%%%%%%%%%%% % Note that the x-coordinates must be in ascending order in order % for Okolie. , Prof. . Yinka. . Adekunle. & Dr. . Seun. . Ebiesuwa. . In many areas of science, we are often given a set of discrete values of a function either in the form of a table of values or a set of experimental measurements which actually represent a set of points along a .