STAT444 Lecture Notes - Lecture 8: Spline Interpolation, Cubic Hermite Spline, Basis Function

• School: University of Waterloo
• Department: Statistics
• Course: STAT444
• Professor: Kun Liang

Document Summary

"t bx3tz i pits ( x - tj )3+ Lti tk ) if fcx ) is hear when. [ ti tik that is f( = fold. The knots ) parameters ( i ) (2) (3) Step i flx ) is a cubic spline then fix ) pot. Be = be 0 b) fcx ) beyond tk. 5 , b- +3 ( x - tj ) ( 3 - 2 ,pj+}=o pk+ } st and efi, fj tj=o. 12 , pjt } ( x - tj )3+ B- +3 ( x - tj )3+ ( x . tj )3+ + Plea ( - tkk ftp. xt pot p, xt ee. B" ( x - tjk + ( x - tk )3+ ] s. t. tt#pj+3ctj-tk)=orewtitefan=p. +p. x*zokictk. tjs/*tstyif*tkff. Ee"z pjtz ( tie- tj ) ( d djcx ) f ( x ) Pixt 5 pjt } ti ) di ( ) t ejk:} pjtz ( tk - tj ) djcx ) ( tk - tj )