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» Axiomatizing geometric constructions
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JAT
2006
84views more  JAT 2006»
13 years 7 months ago
Bivariate Lagrange interpolation at the Padua points: The generating curve approach
We give a simple, geometric and explicit construction of bivariate interpolation at certain points in a square (called Padua points), giving compact formulas for their fundamental...
Len Bos, Marco Caliari, Stefano De Marchi, Marco V...
MLQ
2008
54views more  MLQ 2008»
13 years 7 months ago
A localic theory of lower and upper integrals
An account of lower and upper integration is given. It is constructive in the sense of geometric logic. If the integrand takes its values in the nonnegative lower reals, then its ...
Steven Vickers
CAGD
2005
135views more  CAGD 2005»
13 years 7 months ago
Constrained space curve interpolation with constraint planes
We consider the interpolation of a given set of ordered space data points by a smooth curve in the presence ofa set offinite or infinite constraint planes, where the polyline join...
V. P. Kong, B. H. Ong
COMGEO
1998
ACM
13 years 7 months ago
Variable resolution triangulations
In this paper we introduce variable resolution 4– meshes, a powerful structure for the representation of geometric objects at multiple levels of detail. It combines most propert...
Enrico Puppo
COLOGNETWENTE
2010
13 years 6 months ago
Complexity of O'Hara's Algorithm
In this paper we analyze O’Hara’s partition bijection. We present three type of results. First, we show that O’Hara’s bijection can be viewed geometrically as a certain sci...
Matjaz Konvalinka, Igor Pak