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Whether there exist Almost Perfect Non-linear permutations (APN) operating on an even number of bit is the so-called Big APN Problem. It has been solved in the 6-bit case by Dillon et al. in 2009 but,...
The Unified Butterfly Effect: Efficient Security Credential Management System for Vehicular Communications
Vehicular communications security and privacy pseudonym certificates
2018/1/29
Security and privacy are important requirements for the broad deployment of intelligent transportation systems (ITS). This motivated the development of many proposals aimed at creating a Vehicular Pub...
SPARSE FOURIER TRANSFORM VIA BUTTERFLY ALGORITHM
Fourier transform butterfly algorithm multiscale methods far field pattern
2015/7/14
This paper introduces a fast algorithm for computing sparse Fourier transforms with spatial and Fourier data supported on curves or surfaces. This problem appears naturally in several important applic...
A FAST BUTTERFLY ALGORITHM FOR THE COMPUTATION OF FOURIER INTEGRAL OPERATORS
Fourier integral operators butterfly algorithm dyadic partitioning Lagrange interpolation separated representation multiscale computations
2015/7/14
This paper is concerned with the fast computation of Fourier integral operators of the general form Rd e2πıΦ(x,k)f(k)dk, where k is a frequency variable, Φ(x, k) is a phase function obeying a st...
A Butterfly Algorithm for Synthetic Aperture Radar Imaging
fast algorithms low-rank expansions backprojection synthetic aperture radar
2015/7/14
In spite of an extensive literature on fast algorithms for synthetic aperture radar (SAR) imaging, it is not currently known if it is possible to accurately form an image from N data points in provabl...
A fast butterfly algorithm for generalized Radon transforms
fast butterfly algorithm generalized Radon transforms
2015/7/14
Generalized Radon transforms, such as the hyperbolic Radon transform, cannot be implemented as efficiently in the frequency domain as convolutions, thus limiting their use in seismic data processing. ...
A PARALLEL BUTTERFLY ALGORITHM
butterfly algorithm Egorov operator Radon transform parallel Blue Gene/Q
2015/7/14
The butterfly algorithm is a fast algorithm which approximately evaluates a discrete analogue of the integral transform Rd K(x, y)g(y)dy at large numbers of target points when the kernel, K(x, y), is...
A MULTISCALE BUTTERFLY ALGORITHM FOR MULTIDIMENSIONAL FOURIER INTEGRAL OPERATORS
Fourier integral operators the butterfly algorithm hierarchical decomposition separated representation
2015/7/14
This paper presents an efficient multiscale butterfly algorithm for computing Fourier integral operators (FIOs) of the form (Lf)(x) = Rd a(x, ξ)e2πıΦ(x,ξ)f (ξ)dξ, where Φ(x, ξ) is a phase funct...
BUTTERFLY FACTORIZATION
data-sparse matrix butterfly algorithm randomized algorithm matrix factorization operator compression Fourier integral operators special functions
2015/7/14
The paper introduces the butterfly factorization as a data-sparse approximation for the matrices that satisfy a complementary low-rank property. The factorization can be constructed efficiently if eit...
A Fast Butterfly Algorithm for the Computation of Fourier Integral Operators
Fourier integral operators the butterfly algorithm dyadic partitioning Lagrange interpolation separated representation multiscale computations
2015/6/17
This paper is concerned with the fast computation of Fourier integral operators of the general form RRd e2πıΦ(x,k)f(k)dk, where k is a frequency variable, Φ(x, k) is a phase function obeying a st...
Stability of Patterns of Behavior in the Butterfly Technique of the Elite Swimmers
Technical analysis patterns butterfly chronology
2015/5/4
The purpose of this study was to find patterns in the butterfly swimming technique, with an adaptation of the Behavioral Observation System Tech. This, as an instrument for ad-hoc qualitative analysis...
Predicting the Intra-Cyclic Variation of the Velocity of the Centre of Mass from Segmental Velocities in Butterfly Stroke: A Pilot Study
Swimming body's velocity fluctuation feet's velocity hand's velocity
2015/4/8
The purpose of this study was to analyze the relationship between the intra-cycle variation of the horizontal velocity of displacement of the center of mass (dV), the hand's and feet's velocity, as we...
Morphological Effects on Surface-Enhanced Raman Scattering from Silver Butterfly Wing Scales Synthesized via Photoreduction
Morphological Effects Surface-Enhanced Raman Scattering Silver Butterfly Wing Scales Synthesized via Photoreduction
2014/5/28
Through a simple room-temperature photoreduction process, this letter conformally replicates 3D submicrometer structures of wing scales from two butterfly species into Ag to generate practical surface...
Morphological Effects on Surface-Enhanced Raman Scattering from Silver Butterfly Wing Scales Synthesized via Photoreduction
Morphological Effects Surface-Enhanced Raman Scattering Silver Butterfly Wing Scales Synthesized Photoreduction
2014/5/28
Through a simple room-temperature photoreduction process, this letter conformally replicates 3D submicrometer structures of wing scales from two butterfly species into Ag to generate practical surface...
In order to investigate distributed quantum computation under restricted network resources, we introduce a quantum computation task over the butterfly network where both quantum and classical communic...