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CAGD
2007
65views more  CAGD 2007»
13 years 5 months ago
Progressive iterative approximation and bases with the fastest convergence rates
All normalized totally positive bases satisfy the progressive iterative approximation property. The normalized B-basis has optimal shape preserving properties and we prove that it...
Jorge Delgado, Juan Manuel Peña
GRAPHICSINTERFACE
2003
13 years 6 months ago
Distortion minimization and continuity preservation in surface pasting
Surface pasting is a hierarchical modeling technique capable of adding local details to tensor product Bspline surfaces without incurring significant computational costs. In this...
Rick Leung, Stephen Mann
MOC
2000
100views more  MOC 2000»
13 years 5 months ago
Monotonicity preservation on triangles
It is well known that Bernstein polynomials on triangles preserve monotonicity. In this paper we define and study three kinds of monotonicity preservation of systems of bivariate f...
Michael S. Floater, Juan Manuel Peña
ADCM
1998
93views more  ADCM 1998»
13 years 5 months ago
Tensor-product monotonicity preservation
: This paper studies systems of tensor-product functions for which the functions they span are monotonic in any direction when their control nets are monotonic in that direction. I...
Michael S. Floater, Juan Manuel Peña
EUSFLAT
2003
13 years 6 months ago
On the preservation of monotonicity by extended mappings
Images of fuzzy relations provide powerful access to fuzzifications of properties of and/or relationships between fuzzy sets. As an important example, images of fuzzy orderings c...
Ulrich Bodenhofer