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MathGroup Archive 2007

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Re: Hole/Disk function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg76167] Re: Hole/Disk function
  • From: Mathieu G <ellocomateo at free.fr>
  • Date: Thu, 17 May 2007 05:57:09 -0400 (EDT)
  • References: <f2bs7i$gc0$1@smc.vnet.net> <f2ekvf$22o$1@smc.vnet.net>

dimitris a =E9crit :
> I guess you really mean
>
> In[14]:=
> DHole[x_, y_, HoleSize_] := If[Sqrt[x^2 + y^2] <= HoleSize, 1, 0];
>
> What do you mean "a better way"?
> The function looks ok.
>
> In[16]:=
> Plot3D[DHole[x, y, 3], {x, -3, 3}, {y, -3, 3}, PlotPoints -> 50,
> ColorFunction -> (Hue[2*((1 - #1)/5)] & )]
>
> Dimitris
>
> =CF/=C7 Mathieu G =DD=E3=F1=E1=F8=E5:
>> Hello,
>> Is there a better way to define a Disk/Hole function than that?:
>>
>> DHole[x_, y_] := If[Sqrt[x^2 + y^2] <= HoleSize, 1, 0];
>>
>> I would like to use it for a convolution using the definition as shown
>> in http://oldsite.vislab.usyd.edu.au/CP3/Four5/mod2-01.gif
>>
>> Best regards,
>> MG
>
>
I would like to integrate it (using Integrate, rather than NIntegrate)
or use its FourierTransform... it seems to me than the code I propose
was not quite efficient as for computing time...


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