📄 ccint.ma
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ccin[x_ /; Abs[x] <= 1]:= 3/2 Abs[x]^3 - 5/2 Abs[x]^2 + 1;ccin[x_ /; Abs[x] > 1 && Abs[x] <= 2]:= -1/2 Abs[x]^3 + 5/2 Abs[x]^2 - 4 Abs[x] + 2;ccin[x_ /; Abs[x] > 2] := 0;ccinf[w_]:= 2 Integrate[Cos[w x] (3/2 x^3 - 5/2 x^2 + 1),{x,0,1}] + 2 Integrate[Cos[w x] (-1/2 x^3 + 5/2 x^2 - 4 x + 2),{x,1,2}];Plot[ccin[x], {x, -2, 2}, PlotStyle -> {Thickness[0.01]}, Frame -> True, FrameLabel -> {None, None, "Cubic Convolution Interpolation", None}];Plot[ccinf[w],{w,-2Pi,2Pi},PlotStyle->{Thickness[0.01]}, Frame->True, FrameLabel->{None,None,"Spectrum",None}];Show[GraphicsArray[{%%,%}]];Display["junk_ma.eps",%,"EPS",ImageSize->648];
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