MATLAB 5.0 MAT-file, Platform: PCWIN, Created on: Wed Jan 05 01:57:10 2005 IM@1 hgS_070000 7typehandlepropertieschildrenspecial@ figure8  f@CUnitsColorColormapFileNameIntegerHandleInvertHardcopyMenuBarNameNumberTitlePaperPositionPositionRendererRendererModeResizeHandleVisibilityTagUserDataApplicationDataBehaviorH characters00@ ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????.\C:\MFILES.KEA\Guide_NA.dir\Spline_GUI_Help.fig8off0on8nonePSpline_GUI_Help8offP ?@ @@P 43333Y@;;8@43333[@ډ؉B@@painters@ manual8off@callback@figure10  GUIDEOptionslastValidTagxactive_htaginfooverridereleaseresizeaccessibilitymfilecallbackssingletonsyscolorfigblockinglastSavedFile0figuretext0000 8none@callback00000,XC:\MFILES.KEA\Guide_NA.dir\Spline_GUI_Help.m@figure18H 7typehandlepropertieschildrenspecialH uicontrol8  f@UnitsBackgroundColorFontSizePositionStringStyleTagApplicationDataBehaviorH characters08 +@P LB@ۉ؉@@D@ON?PSpline_GUI Help8text@ text1  lastValidTag@ text18H uicontrol8 `.@UnitsBackgroundColorFontSizeHorizontalAlignmentPositionStringStyleTagApplicationDataBehaviorH characters00 8leftP #@;;?hffff&W@(vb'vb?@80GThis constructs interpolating cubic splines based on an even spacing ofKnode points on the given interval [a,b]. The stepsize is h = (b-a)/subdiv,Eand the number of node points is subdiv+1 (except in the case of the H"Not-a-knot spline with endpoint correction). The quantity subdiv is thep:given number of subdivisions.0HNatural spline - This assumes the second derivative of the interpolatingp>spline is zero at both a and b.0IClamped spline - This interpolating cubic spline has its first derivative:tmatch that of the given function at the endpoints a and b.0HNot-a-knot spline - This assumes the cubic spline has a continuous thirdOderivative at the node points a+h and b-h. Thus the spline function is actuallyAa unique cubic polynomial on the intervals [a,a+2h] and [b-2h,b].0GNot-a-knot spline: endpoint correction This introduces two additionalGinterpolating nodes, a+h/2 and b-h/2. Then it assumes the cubic splineJhas a continuous third derivative at the node points a+h/2 and b-h/2. ThusJthe spline function is actually a unique cubic polynomial on the intervalsX([a,a+h] and [b-h,b].0008text@ text2  lastValidTag@ text28@ uimenu8 0@PCallbackLabelTagApplicationDataBehavior;vSpline_GUI_Help('File_Menu_Callback',gcbo,[],guidata(gcbo))8FileH File_Menu  lastValidTagH File_Menu8 7typehandlepropertieschildrenspecial@ uimenu8 1@PCallbackLabelTagApplicationDataBehavior7nSpline_GUI_Help('Close_Callback',gcbo,[],guidata(gcbo))@ Close@ Close  lastValidTag@ Close8