Affine arithmetic

Affine arithmetic (AA) is a model for self-validated numerical analysis. In AA, the quantities of interest are represented as affine combinations… (More)
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2014
2014
We give a formalization of affine forms [1, 2] as abstract representations of zonotopes. We provide affine operations as well as… (More)
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2010
2010
Power flow studies are typically used to determine the steady state or operating conditions of power systems for specified sets… (More)
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2006
2006
A method is presented for ray casting implicit surfaces defined by fractal combinations of procedural noise functions. The method… (More)
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2005
2005
MiniBit, our automated approach for optimizing bit-widths of fixed-point designs is based on static analysis via affine… (More)
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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… (More)
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2004
2004
In interval computations, the range of each intermediate result r is described by an interval r. To decrease excess interval… (More)
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2004
2004
This paper describes a framework for the refinement of control and signal processing functions. The design starts with an… (More)
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2003
2003
Affine arithmetic (AA) is a model for self-validated computation which, like standard interval arithmetic (IA), produces… (More)
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2003
2003
In this paper we give mathematical proofs of two new results relevant to evaluating algebraic functions over a box-shaped region… (More)
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1997
1997
Procedural shaders have become popular tools for describing surface reflectance functions and other material properties. In… (More)
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