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Approximation Error Maps (2002)  (Make Corrections)  
Anamaria Gomide, Jorge Stolfi



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Analyzing the spatial distribution of error for for a functional approximation space.

Abstract: In order to analyze the accuracy of a fixed, finite-dimensional approximation space which is not uniform over its domain $\Omega$, we define the approximation error map, a description of how the error is distributed over $\Omega$ --- not for a single test function but for a general class of such functions. We show how to compute such a map from the best approximations to an orthonormal basis of the target function space. (Update)

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BibTeX entry:   (Update)

@misc{ gomide-approximation,
  author = "Anamaria Gomide and Jorge Stolfi",
  title = "Approximation Error Maps",
  howpublished = "electronic draft",
  url = "citeseer.ist.psu.edu/gomide02approximation.html" }
Citations (may not include all citations):
19   Dimension and local bases of homogeneous spline spaces - Alfeld, Neamtu et al. - 1996
3   Bases for non-homogeneous polynomial C k splines on the sphe.. (context) - Gomide, Stol - 1998
2   eneos na Esfera (context) - Gomide, Homog - 1999
1   Non-homogeneous polynomial C k splines (context) - Gomide, Stol - 2000

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