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NonLinear Approximation of Reflectance Functions
, 1997
"... We introduce a new class of primitive functions with nonlinear parameters for representing light reflectance functions. The functions are reciprocal, energyconserving and expressive. They can capture important phenomena such as offspecular reflection, increasing reflectance and retroreflection. ..."
Abstract

Cited by 267 (10 self)
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We introduce a new class of primitive functions with nonlinear parameters for representing light reflectance functions. The functions are reciprocal, energyconserving and expressive. They can capture important phenomena such as offspecular reflection, increasing reflectance and retro
NonLinear Approximations in Linear Cryptanalysis
 Advances in Cryptology, Proceedings Eurocrypt'96, LNCS 1070
, 1996
"... Abstract. By considering the role of nonlinear approximations in linear cryptanalysis we obtain a generalization of Matsui’s linear cryptanalytic techniques. This approach allows the cryptanalyst greater flexibility in mounting a linear cryptanalytic attack and we demonstrate the effectiveness of o ..."
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Cited by 28 (0 self)
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Abstract. By considering the role of nonlinear approximations in linear cryptanalysis we obtain a generalization of Matsui’s linear cryptanalytic techniques. This approach allows the cryptanalyst greater flexibility in mounting a linear cryptanalytic attack and we demonstrate the effectiveness
Nonlinear approximation and interpolation spaces
 J. APPROX. THEORY
, 2001
"... We study nterm wavelettype approximations in Besov and TriebelLizorkin spaces. In particular, we characterize spaces of functions which have prescribed degree of nterm approximation in terms of interpolation spaces. These results are applied to identify interpolation spaces between Triebel–Lizor ..."
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Cited by 8 (0 self)
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We study nterm wavelettype approximations in Besov and TriebelLizorkin spaces. In particular, we characterize spaces of functions which have prescribed degree of nterm approximation in terms of interpolation spaces. These results are applied to identify interpolation spaces between Triebel
Linear versus Nonlinear Approximation of StepFunctions
, 2007
"... We investigate, from the point of view of a comparison of linear and nonlinear approximation methods, one specific example, where many of important general phenomena become fairly apparent. This is the family of the step (or Heaviside) functions Ht(x), t ∈ [0,1], defined for x ∈ [0,1] by Ht(x) = 1 ..."
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We investigate, from the point of view of a comparison of linear and nonlinear approximation methods, one specific example, where many of important general phenomena become fairly apparent. This is the family of the step (or Heaviside) functions Ht(x), t ∈ [0,1], defined for x ∈ [0,1] by Ht
NonLinear Approximation of Functions with Mixed Smoothness by Sets of Finite PseudoDimension
"... Abstract In this paper, the nonlinear approximation on the class of multivariate functions with bounded mixed derivatives is investigated, and the asymptotic degree of the nonlinear width on this classisdetermined. ..."
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Abstract In this paper, the nonlinear approximation on the class of multivariate functions with bounded mixed derivatives is investigated, and the asymptotic degree of the nonlinear width on this classisdetermined.
Some remarks on nonlinear approximation with Schauder bases
 East J. Approx
"... We study the approximation classes As and Gs associated with nonlinear mterm approximation and greedy approximation by elements from a quasinormed Schauder basis in a separable Banach space. We show that there always is a twosided embedding ..."
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Cited by 19 (3 self)
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We study the approximation classes As and Gs associated with nonlinear mterm approximation and greedy approximation by elements from a quasinormed Schauder basis in a separable Banach space. We show that there always is a twosided embedding
Electrical Impedance Tomography : An Iterative Algorithm Using A NonLinear Approximation
"... The aim of Electrical Impedance Tomography (EIT) is to recover the conductivity distribution inside a domain from measurements of voltages and currents at its boundary. An iterative resolution method for the EIT problem is presented. It uses linearization, SVD and a nonlinear approximation of the c ..."
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The aim of Electrical Impedance Tomography (EIT) is to recover the conductivity distribution inside a domain from measurements of voltages and currents at its boundary. An iterative resolution method for the EIT problem is presented. It uses linearization, SVD and a nonlinear approximation
On the Importance of Combining WaveletBased NonLinear Approximation With Coding Strategies
, 2000
"... ..."
Small deviations of weighted fractional processes and average nonlinear approximation
, 2003
"... We investigate the small deviation problem for weighted fractional Brownian motions in Lq–norm, 1 ≤ q ≤ ∞. Let BH be a fractional Brownian motion with Hurst index 0 < H < 1. If 1/r: = H + 1/q, then our main result asserts lim ε→0 ε 1/H log P ..."
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Cited by 5 (3 self)
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We investigate the small deviation problem for weighted fractional Brownian motions in Lq–norm, 1 ≤ q ≤ ∞. Let BH be a fractional Brownian motion with Hurst index 0 < H < 1. If 1/r: = H + 1/q, then our main result asserts lim ε→0 ε 1/H log P
Source localization of Contaminants using Nonlinear Approximation Filtering
"... Advancements in chemical and biological agents allow human life to be elevated to a whole new higher level, yet in wrong hands their use had produced devastating results in past. Unarguably it is vital to develop methods to track and trace the origin of hazardous contaminant particles in order to mi ..."
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Advancements in chemical and biological agents allow human life to be elevated to a whole new higher level, yet in wrong hands their use had produced devastating results in past. Unarguably it is vital to develop methods to track and trace the origin of hazardous contaminant particles in order to minimize the damages they are capable of causing, and contain their ill effects. Here we consider the problem of devising filtering methods in order to estimate the origin of contaminant particles using information gathered from a finite number of sensors
Results 1  10
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