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Surface deformation due to shear and tensile faults in a halfspace
, 1985
"... A complete set of closed analytical expressions is presented in a unified manner for the internal displacements and strains due to shear and tensile faults in a halfspace for both point and finite rectangular sources. These expressions are particularly compact and systematically composed of terms r ..."
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Cited by 727 (1 self)
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A complete set of closed analytical expressions is presented in a unified manner for the internal displacements and strains due to shear and tensile faults in a halfspace for both point and finite rectangular sources. These expressions are particularly compact and systematically composed of terms
Theory for the development of neuron selectivity: orientation specificity and binocular interaction in visual cortex
 J. Neurosci
, 1982
"... The development of stimulus selectivity in the primary sensory cortex of higher vertebrates is considered in a general mathematical framework. A synaptic evolution scheme of a new kind is proposed in which incoming patterns rather than converging afferents compete. The change in the efficacy of a gi ..."
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Cited by 432 (20 self)
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The development of stimulus selectivity in the primary sensory cortex of higher vertebrates is considered in a general mathematical framework. A synaptic evolution scheme of a new kind is proposed in which incoming patterns rather than converging afferents compete. The change in the efficacy of a
Mathematical
"... Abstract—One of the major research areas in computer vision is scene reconstruction from image streams. The advent of RGBD cameras, such as the Microsoft Kinect, has lead to new possibilities for performing accurate and dense 3D reconstruction. There are already wellworking algorithms to acquire ..."
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and depth measurements from an RGBD sensor to simultaneously reconstruct both the camera motion and the scene geometry in a robust manner. Experiments on real data show that we can accurately reconstruct largescale 3D scenes despite many planar surfaces. 1 I.
VON: a Scalable PeertoPeer Network for Virtual Environments
 IEEE Network
, 2006
"... We propose a fullydistributed peertopeer architecture to solve the scalability problem of Networked Virtual Environment in a simple and efficient manner. Our method exploits locality of user interest inherent to such systems and is based on the mathematical construct Voronoi diagram. Scalable, re ..."
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Cited by 171 (22 self)
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We propose a fullydistributed peertopeer architecture to solve the scalability problem of Networked Virtual Environment in a simple and efficient manner. Our method exploits locality of user interest inherent to such systems and is based on the mathematical construct Voronoi diagram. Scalable
Signal modeling techniques in speech recognition
 PROCEEDINGS OF THE IEEE
, 1993
"... We have seen three important trends develop in the last five years in speech recognition. First, heterogeneous parameter sets that mix absolute spectral information with dynamic, or timederivative, spectral information, have become common. Second, similariry transform techniques, often used to norm ..."
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Cited by 181 (5 self)
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to normalize and decorrelate parameters in some computationally inexpensive way, have become popular. Third, the signal parameter estimation problem has merged with the speech recognition process so that more sophisticated statistical models of the signal’s spectrum can be estimated in a closedloop manner
Behavioral theories and the neurophysiology of reward,
 Annu. Rev. Psychol.
, 2006
"... ■ Abstract The functions of rewards are based primarily on their effects on behavior and are less directly governed by the physics and chemistry of input events as in sensory systems. Therefore, the investigation of neural mechanisms underlying reward functions requires behavioral theories that can ..."
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Cited by 187 (0 self)
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(see Glimcher 2003 for details). He soon realized that humans make decisions by weighing the potential outcomes by their associated probabilities and then go for the largest result. Or, mathematically speaking, they sum the products of magnitude and probability of all potential outcomes of each option
Moon: Mathematical theory of medial axis transform
 Pacific J. Math
, 1997
"... The medial axis of a plane domain is defined to be the set of the centers of the maximal inscribed disks. It is essentially the cut loci of the inward unit normal bundle of the boundary. We prove that if a plane domain has finite number of boundary curves each of which consists of finite number of r ..."
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Cited by 98 (9 self)
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of real analytic pieces, then the medial axis is a connected geometric graph in R2 with finitely many vertices and edges. And each edge is a real analytic curve which can be extended in the C1 manner at the end vertices. We clarify the relation between the vertex degree and the local geometry
Compiling with Proofs
, 1998
"... One of the major challenges of building software systems is to ensure that the various components fit together in a welldefined manner. This problem is exacerbated by the recent advent of software components whose origin is unknown or inherently untrusted, such as mobile code or user extensions ..."
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Cited by 150 (9 self)
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One of the major challenges of building software systems is to ensure that the various components fit together in a welldefined manner. This problem is exacerbated by the recent advent of software components whose origin is unknown or inherently untrusted, such as mobile code or user extensions
Fast algorithms for discrete and continuous wavelet transforms
 IEEE TRANSACTIONS ON INFORMATION THEORY
, 1992
"... Several algorithms are reviewed for computing various types of wavelet transforms: the Mallat algorithm, the “a trous” algorithm and their generalizations by Shensa. The goal is 1) to develop guidelines for implementing discrete and continuous wavelet transforms efficiently, 2) to compare the variou ..."
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Cited by 131 (1 self)
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the various algorithms obtained and give an idea of possible gains by providing operation counts. The computational structure of the algorithms rather than the mathematical relationship between transforms and algorithms, is focused upon. Most wavelet transform algorithms compute sampled coefficients
Toeplitz and Circulant Matrices: A review
, 2001
"... The fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of "finite section" Toeplitz matrices and Toeplitz matrices with absolutely summable elements are derived in a tutorial manner. Mathematical elegance and generality are sacrificed for conceptual simp ..."
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Cited by 126 (1 self)
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The fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of "finite section" Toeplitz matrices and Toeplitz matrices with absolutely summable elements are derived in a tutorial manner. Mathematical elegance and generality are sacrificed for conceptual
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