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Affine arithmetic

Affine arithmetic (AA) is a model for self-validated numerical analysis. In AA, the quantities of interest are represented as affine combinations… Expand
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Papers overview

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2014
2014
This paper extends the hierarchical control structures in [4], [6], [17] to the important class of piecewise affine (PWA) hybrid… Expand
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Highly Cited
2010
Highly Cited
2010
Power flow studies are typically used to determine the steady state or operating conditions of power systems for specified sets… Expand
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Highly Cited
2004
Highly Cited
2004
Affine arithmetic is a model for self-validated numerical computation that keeps track of first-order correlations between… Expand
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Highly Cited
2004
Highly Cited
2004
In interval computations, the range of each intermediate result r is described by an interval r. To decrease excess interval… Expand
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Highly Cited
2003
Highly Cited
2003
Affine arithmetic (AA) is a model for self-validated computation which, like standard interval arithmetic (IA), produces… Expand
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Highly Cited
2003
Highly Cited
2003
Many problems in computer vision may be considered as low-rank approximation problems, in which a matrix of measured data must be… Expand
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2002
2002
Displacement mapping is a technique for applying fine geometric detail to a simpler base surface. The displacement is often… Expand
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1999
1999
We study the performance of affine arithmetic as a replacement for interval arithmetic in interval methods for ray casting… Expand
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1998
1998
Procedural shaders have become popular tools for describing surface reflectance functions and other material properties. In… Expand
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Highly Cited
1996
Highly Cited
1996
We discuss adaptive enumeration and rendering methods for implicit surfaces, using octrees computed with affine arithmetic, a new… Expand
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