Re: Suggestion for dgrid3d

[<pl...@pi...>]

On Tue, 23 Oct 2007 17:09:10 +0200, Philipp K. Janert <ja...@ie...>  
wrote:

> I can't really achieve this effect through a power law.
> The gaussian that I suggested, however, allows this.
> But a Lorentzian (1/(1+(d/a)**2)) would also do.

As you said the gaussian would be an obvious choice , having a finite  
weight close to zero seems essencial.

> Did you take a look at the images I posted?
> (www.philipp-janert.com/gnuplot) I think the
> Gaussian results in much more natural
> approximations than the current
> implementation does.

Nice plots , I think you illustrate the point very well . There are some  
obvious artifacts in the current model particularly heavy in the lower  
order plots.

I think your suggestion is a marked improvement from a theoretical point  
of view and that your example points out that the magnitude of the  
improvements possible by applying a more suitable weighting function.

Nice contribution. I hope it gets adopted.

/Peter.