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John,
Thank you for sending this, with abstracts. I cannot come to the
meeting, but hope to get the proceedings when published.
But, I can not agree that radial basis functions and thin plate
splines are more 'advanced' than my 'tuning' method
since they give the same results but within a much more complicated
mathematical structure. My notion of using the integrated sum of
squares of the four partial derivatives as a measure of (local, then)
total distortion has possible merit and my be simpler than
integration Tissot's indicatrix. A more important and interesting
direction is to recognize the vector fields can be decomposed into
divergence and curl and potential fields can therefore be derived and
applied to the charts.
I too have recently gotten into Riemannian manifolds and laplacian
eigenfunctions and their application to cartography.
I assume that you are familiar with Mitchel's work for Hammond's
Atlas with optimal conformal representations using Chebychev's
conjecture.
Waldo Tobler
Geographer
[email protected]
http://www.geog.ucsb.edu/~tobler
On May 12, 2010, at 6:24 AM, John W. Hessler wrote:
Histers,
Just a reminder that the LOC and Philip Lee Phillips Society
Conference on Portolan Charts is next week
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