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1,447
The Curve Of Least Energy
, 1983
"... Here we search fi)r the curve which has the smallest integral of the square of curvature, while passing through two given points with given orientation. This is the true shape of a spline used in lofting. In computeraided design, curves have been sought which maximize "smoothness". The cu ..."
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Cited by 87 (2 self)
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Here we search fi)r the curve which has the smallest integral of the square of curvature, while passing through two given points with given orientation. This is the true shape of a spline used in lofting. In computeraided design, curves have been sought which maximize "
The Geometry of Principal Curves in the Plane
 Proceedings of the Third International Conference on Rewriting Techniques and Applications (Chapel Hill, NC
, 1993
"... ABSTRACT. Principal curves were introduced to formalize the notion of "a curve passing through the middle of a dataset". Vaguely speaking, a curve is said to pass through the middle of a dataset, if every point on the curve is the average of the observations projecting onto it. This idea c ..."
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Cited by 1 (0 self)
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ABSTRACT. Principal curves were introduced to formalize the notion of "a curve passing through the middle of a dataset". Vaguely speaking, a curve is said to pass through the middle of a dataset, if every point on the curve is the average of the observations projecting onto it. This idea
AN APPROACH FOR MINIMAL SURFACE FAMILY PASSING A CURVE
"... Abstract. We investigate minimal surfaces passing a given curve in R3. Using the Frenet frame of a given curve and isothermal parameter, we derive the necessary and sufficient condition for minimal surface. Also we derive the parametric representation of two minimal surface families passing a circl ..."
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Abstract. We investigate minimal surfaces passing a given curve in R3. Using the Frenet frame of a given curve and isothermal parameter, we derive the necessary and sufficient condition for minimal surface. Also we derive the parametric representation of two minimal surface families passing a
Multidimensional Curve Classification Using PassingThrough Regions
, 1999
"... A new method is proposed for classifying sets of a variable number of points and curves in a multidimensional space as time series. Almost all classifiers proposed so far assume that there is a constant number of features and they cannot treat a variable number of features. To cope with this diffic ..."
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Cited by 1 (0 self)
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A new method is proposed for classifying sets of a variable number of points and curves in a multidimensional space as time series. Almost all classifiers proposed so far assume that there is a constant number of features and they cannot treat a variable number of features. To cope
An Efficient Protocol for Authenticated Key Agreement
 Designs, Codes and Cryptography
, 1998
"... This paper proposes a new and efficient twopass protocol for authenticated key agreement in the asymmetric (publickey) setting. The protocol is based on DiffieHellman key agreement and can be modified to work in an arbitrary finite group and, in particular, elliptic curve groups. Two modification ..."
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Cited by 161 (4 self)
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This paper proposes a new and efficient twopass protocol for authenticated key agreement in the asymmetric (publickey) setting. The protocol is based on DiffieHellman key agreement and can be modified to work in an arbitrary finite group and, in particular, elliptic curve groups. Two
Local anesthetics : hydrophilic and hydrophobic pathways for the drugreceptor reaction
 J. Gen
, 1977
"... neutral, amine, and quaternary local anesthetic compounds. The kinetics of the Na currents are governed by a composite of voltage and timedependent gating processes with voltage and timedependent block of channels by drug. Conventional measurements of steadystate sodium inactivation by use of 5 ..."
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Cited by 171 (0 self)
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of 50ms prepulses show a large negative voltage shift of the inactivation curve with neutral benzocaine and with some ionizable amines like lidocaine and tetracaine, but no shift is seen with quaternary QX572. However, when the experiment is done with repetitive application of a prepulse
Dynamic Tracking of Page Miss Ratio Curve for Memory Management
, 2004
"... Memory can be efficiently utilized if the dynamic memory demands of applications can be determined and analyzed at runtime. The page miss ratio curve(MRC), i.e. page miss rate vs. memory size curve, is a good performancedirected metric to serve this purpose. However, dynamically tracking MRC at ru ..."
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Cited by 87 (2 self)
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Memory can be efficiently utilized if the dynamic memory demands of applications can be determined and analyzed at runtime. The page miss ratio curve(MRC), i.e. page miss rate vs. memory size curve, is a good performancedirected metric to serve this purpose. However, dynamically tracking MRC
Locally defined principal curves and surfaces
 JOURNAL OF MACHINE LEARNING RESEARCH
, 2011
"... Principal curves are defined as selfconsistent smooth curves passing through the middle of the data, and they have been used in many applications of machine learning as a generalization, dimensionality reduction and a feature extraction tool. We redefine principal curves and surfaces in terms of th ..."
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Cited by 23 (0 self)
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Principal curves are defined as selfconsistent smooth curves passing through the middle of the data, and they have been used in many applications of machine learning as a generalization, dimensionality reduction and a feature extraction tool. We redefine principal curves and surfaces in terms
Curve Geometrical model
"... Original scientific paper In today's medicine, especially in the field of orthopedic surgery, it is very important to use geometrically accurate and anatomically correct geometrical models of human bones for the preoperative planning and implants creation. In order to create such models, two n ..."
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which are based on data acquired from the medical imaging devices (CT, MRI, XRay). The basic difference between these two methods and all the others is in the manner of generating the points through which anatomical axis model (3D curve) passes or goes near. The applied methods are developed
Mixture of nonlinear models: a Bayesian fit for Principal Curves
"... Abstract — Principal curves are smooth parametric curves passing through the “middle ” of a nonelliptical multivariate data set. We model the probability distribution of this kind of data as a mixture of simple nonlinear models and use MCMC techniques to fit the mixture model. I. ..."
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Abstract — Principal curves are smooth parametric curves passing through the “middle ” of a nonelliptical multivariate data set. We model the probability distribution of this kind of data as a mixture of simple nonlinear models and use MCMC techniques to fit the mixture model. I.
Results 11  20
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