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Generate mesh, quadratic interpolation-how does it work?

 
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Calum_G



Joined: 28 Feb 2018
Posts: 2

PostPosted: Thu Mar 01, 2018 10:32 am    Post subject: Generate mesh, quadratic interpolation-how does it work? Reply with quote

Hi,
I'm using the generate mesh function of Dplot to create heat maps of my data, and I'm particularly interested in how the quadratic interpolation is filling in the gaps in my data to produce the mesh. It would be very useful for my work to know how Dplot is doing this, can anyone give me an idea of the formula used by the software or a simple example?

Kind regards,

Calum
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DPlotAdmin
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Joined: 24 Jun 2003
Posts: 2264
Location: Vicksburg, Mississippi

PostPosted: Thu Mar 01, 2018 11:14 am    Post subject: Reply with quote

There's not much to it. For every new point, DPlot finds the closest "Control points" points in the original mesh. It squares the distance in the XY plane from the new point to the closest "Control points" points, then weights the influence of each of those points by the inverse of the square of the distance. (If the new point lies exactly at an input X,Y, then the corresponding Z is used and the other points have no influence.)
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Calum_G



Joined: 28 Feb 2018
Posts: 2

PostPosted: Fri Mar 02, 2018 7:30 am    Post subject: Reply with quote

Thanks for the quick reply, that should be a great help to me!
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