Matlab實驗報告六(三次樣條與分段線性插值)

1、數(shù)學與信息科學系實驗報告實驗名稱插值與擬合所屬課程數(shù)學軟件與實驗實驗類型綜合型實驗專業(yè)信息與計算科學班級學號姓名1扌旨導教師 ODDDOO【實驗目的】學會在環(huán)境下使用幾種不同的插值法和擬合兩種方法構造函數(shù)依據(jù)已經(jīng)知道的某些特殊點來推測實際問題中需要知道但又不便于測量出來的量?！緦嶒炘怼縵=interp2(x0,y0,z0,x,y,method)yx,yn;n3.linearspline【實驗環(huán)境】MatlabR2010bODDDOO問題對函數(shù)x0,y0 xyxx0,y0,X,5,5,分別用分段線性插值和三次樣條插值作插值(其中插值節(jié)點不少于20),并分別作出每種插值方法的誤差曲線1.2.x=

2、-5:0.5:5;y=1./(1+x.入2);x1=-5:0.01:5;yl=interp1(x,y,x1,linear);ys=interp1(x,y,x1,spline);plot(x,y,*,x1,yl,r,x1,y2,b)y0=1./(1+x1.入2);y3=yl_y0;y4=ys_y0;holdonplot(x1,y3,y,x1,y4,g) 3.-4-3-2-1-54.問題山區(qū)地貌圖在某山區(qū)（平面區(qū)域口0,2800）（0,2400）內(nèi)，單位：米）測得一 #些地點的高程（單位：米）如表1,試作出該山區(qū)的地貌圖表24001430145014701320128012001080940200

3、0145014801500155015101430130012001600146015001550160015501600160016001200137015001200110015501600155013808001270150012001100135014501200115040012301390150015001400900110010600118013201450142014001300700900Y/X040080012001600200024002800 # 1.2. x=0:400:2800;y=0:400:2400;z=1430145014701320128012001080940;14501480150015501510143013001200;14601500155016001550160016001600;13701500120011001550160015501380;12701500120011001350145012001150;1230139015001500140090011001060;118013201450142014001300700900;mesh(x,y,z)xi=0:20:2800;yi=0:20:2400;zi=interp2(x,y,z,xi,yi,cubic);mesh(xi,yi,zi)3.1800-16001400-12