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Footprint evaluation for volume rendering
 Computer Graphics
, 1990
"... This paper presents a forward mapping rendering algorithm to display regular volumetric grids that may not have the same spacings in the three grid directions. It takes advantage of the fact that convolution can be thought of as distributing energy from input samples into space. The renderer calcul ..."
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Cited by 499 (1 self)
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calculates an image plane footprint for each data sample and uses the footprint to spread the sample's energy onto the image plane. A result of the technique is that the forward mapping algorithm can support perspective without excessive cost, and support adaptive resampling of the threedimensional
Training Linear SVMs in Linear Time
, 2006
"... Linear Support Vector Machines (SVMs) have become one of the most prominent machine learning techniques for highdimensional sparse data commonly encountered in applications like text classification, wordsense disambiguation, and drug design. These applications involve a large number of examples n ..."
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Cited by 539 (6 self)
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Linear Support Vector Machines (SVMs) have become one of the most prominent machine learning techniques for highdimensional sparse data commonly encountered in applications like text classification, wordsense disambiguation, and drug design. These applications involve a large number of examples n
Impulses and Physiological States in Theoretical Models of Nerve Membrane
 Biophysical Journal
, 1961
"... ABSTRACT Van der Pol's equation for a relaxation oscillator is generalized by the addition of terms to produce a pair of nonlinear differential equations with either a stable singular point or a limit cycle. The resulting "BVP model " has two variables of state, representing excitabi ..."
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Cited by 496 (0 self)
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the 4dimensional HH phase space onto a plane produces a similar diagram which shows the underlying relationship between the two models. Impulse trains occur in the BVP and HH models for a range of constant applied currents which make the singular point representing the resting state unstable.
Primitives for the manipulation of general subdivisions and the computations of Voronoi diagrams
 ACM Tmns. Graph
, 1985
"... The following problem is discussed: Given n points in the plane (the sites) and an arbitrary query point 4, find the site that is closest to q. This problem can be solved by constructing the Voronoi diagram of the given sites and then locating the query point in one of its regions. Two algorithms ar ..."
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Cited by 532 (11 self)
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The following problem is discussed: Given n points in the plane (the sites) and an arbitrary query point 4, find the site that is closest to q. This problem can be solved by constructing the Voronoi diagram of the given sites and then locating the query point in one of its regions. Two algorithms
Nearhomogeneous 16dimensional planes Helmut Salzmann
"... A projective plane P
P;L with point set P and line set L is a (compact) topological plane if P and L are (compact) topological spaces and the geometric operations of joining two distinct points and intersecting two distinct lines are continuous. The classical examples are the Desarguesian plan ..."
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A projective plane P
P;L with point set P and line set L is a (compact) topological plane if P and L are (compact) topological spaces and the geometric operations of joining two distinct points and intersecting two distinct lines are continuous. The classical examples are the Desarguesian
Tracking Of Multiple Auvs in Two Dimensional Plane
"... ABSTRACT: Formation control using a leaderfollower approach is a advancement in AUV technology for control and formation of multiple Autonomous underwater vehicles. This approach leads the other approaches of formation control like behaviourbased method, virtual structural method, artificial poten ..."
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ABSTRACT: Formation control using a leaderfollower approach is a advancement in AUV technology for control and formation of multiple Autonomous underwater vehicles. This approach leads the other approaches of formation control like behaviourbased method, virtual structural method, artificial potentials as the theoretical formalization and mathematical analysis of these approaches are difficult and consequently it is not easy to guarantee the convergence of the formation to a desired configuration. On the other hand in the leaderfollower approach, a robot of the formation, designated as the leader, moves along a predefined trajectory while the other robots, the followers, are to maintain a desired distance and orientation with respect to the leader. Numerical simulations are carried out to illustrate the effectiveness of the proposed formation scheme.
Approximating the kLevel in ThreeDimensional Plane Arrangements∗
, 2015
"... Let H be a set of n nonvertical planes in three dimensions, and let r < n be a parameter. We give a simple alternative proof of the existence of a O(1/r)cutting of the first n/r levels of A(H), which consists of O(r) semiunbounded vertical triangular prisms. The same construction yields an ap ..."
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Let H be a set of n nonvertical planes in three dimensions, and let r < n be a parameter. We give a simple alternative proof of the existence of a O(1/r)cutting of the first n/r levels of A(H), which consists of O(r) semiunbounded vertical triangular prisms. The same construction yields
Large automorphism groups of 16dimensional planes are Lie groups
, 1998
"... . It is a major problem in topological geometry to describe all compact projective planes P with an automorphism group \Sigma of sufficiently large topological dimension. This is greatly facilitated if the group is known to be a Lie group. Slightly improving a result from the first author's dis ..."
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Cited by 2 (0 self)
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's dissertation, we show for a 16dimensional plane P that the connected component of \Sigma is a Lie group if its dimension is at least 27. Compact connected projective planes P of finite topological dimension exist only in dimensions d = 2`j16 , see [1], 54.11. In the compactopen topology, the automorphism
Understanding Line Drawings of Scenes with Shadows
 The Psychology of Computer Vision
, 1975
"... this paper, how can we recognize the identity of Figs. 2.1 and 2.2? Do we use' learning and knowledge to interpret what we see, or do we somehow automatically see the world as stable and independent bf lighting? What portions of scenes can we understand from local features alone, and what confi ..."
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Cited by 433 (0 self)
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configurations require the use of 1obal hypotheses? 19 In this essay I describe a working collection of computer programs which reconstruct threedimensional descriptions from line drawings which are obtained from scenes composed of planefaced objects under various lighting conditions. The system identifies
ASYMPTOTIC PROPERTIES OF UNBOUNDED QUADRATURE DOMAINS IN THE TWO DIMENSIONAL PLANE
"... Abstract. We prove that if Ω is a simply connected quadrature domain of a distribution with compact support and the infinity point belongs the boundary, then the boundary has an asymptotic curve that is a straight line or a parabola or an infinite ray. In other words, such quadrature domains in the ..."
Results 1  10
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