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Approximating Curves on a Surface
"... Abstract Every wireframe model of a smooth surface is considered as a simple but very rough approximation. However it contains rich information. In this paper a piece of an approximated tangent plane, a tangent cell, is defined from a wireframe model in order to introduce students to an approximati ..."
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Abstract Every wireframe model of a smooth surface is considered as a simple but very rough approximation. However it contains rich information. In this paper a piece of an approximated tangent plane, a tangent cell, is defined from a wireframe model in order to introduce students
Approximating curves for nonexpansive and monotone operators
 J. Convex Anal
, 2006
"... solution, variational inequality. A classical tool in nonlinear analysis is the notion of an approximating curve, whereby a particular solution to a nonuniquely solvable problem is obtained as the limit of the solutions to uniquely solvable perturbed problems. We introduce and analyze new types of a ..."
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Cited by 6 (1 self)
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solution, variational inequality. A classical tool in nonlinear analysis is the notion of an approximating curve, whereby a particular solution to a nonuniquely solvable problem is obtained as the limit of the solutions to uniquely solvable perturbed problems. We introduce and analyze new types
APPROXIMATING CURVES ON REAL RATIONAL SURFACES
, 2013
"... We give necessary and sufficient topological conditions for a simple closed curve on a rational surface to be approximable by embedded smooth rational curves. We also study approximation by embedded smooth rational curves with given complex selfintersection number. ..."
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We give necessary and sufficient topological conditions for a simple closed curve on a rational surface to be approximable by embedded smooth rational curves. We also study approximation by embedded smooth rational curves with given complex selfintersection number.
Curvature of Approximating Curve Subdivision Schemes
"... Abstract. The promise of modeling by subdivision is to have simple rules that avoid cumbersome stitchingtogether of pieces. However, already in one variable, exactly reproducing a variety of basic shapes, such as conics and spirals, leads to nonstationary rules that are no longer as simple; and co ..."
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; and combining these pieces within the same curve by one set of rules is challenging. Moreover, basis functions, that allow reading off smoothness and computing curvature, are typically not available. Mimicking subdivision of splines with nonuniform knots allows us to combine the basic shapes. And to analyze
Iterative point matching for registration of freeform curves and surfaces
, 1994
"... A heuristic method has been developed for registering two sets of 3D curves obtained by using an edgebased stereo system, or two dense 3D maps obtained by using a correlationbased stereo system. Geometric matching in general is a difficult unsolved problem in computer vision. Fortunately, in ma ..."
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Cited by 660 (8 self)
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A heuristic method has been developed for registering two sets of 3D curves obtained by using an edgebased stereo system, or two dense 3D maps obtained by using a correlationbased stereo system. Geometric matching in general is a difficult unsolved problem in computer vision. Fortunately
Calculating Approximate Curve Arrangements Using Rounded Arithmetic
 In Proceedings of the Symposium on Computational Geometry, ACM
, 1989
"... this paper is that if we are allowed to replace each fl i with a fiapproximation ~ fl i , then we can calculate a vertical ordering in finite precision. ..."
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Cited by 18 (4 self)
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this paper is that if we are allowed to replace each fl i with a fiapproximation ~ fl i , then we can calculate a vertical ordering in finite precision.
SMOTE: Synthetic Minority Oversampling Technique
 Journal of Artificial Intelligence Research
, 2002
"... An approach to the construction of classifiers from imbalanced datasets is described. A dataset is imbalanced if the classification categories are not approximately equally represented. Often realworld data sets are predominately composed of ``normal'' examples with only a small percentag ..."
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Cited by 634 (27 self)
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An approach to the construction of classifiers from imbalanced datasets is described. A dataset is imbalanced if the classification categories are not approximately equally represented. Often realworld data sets are predominately composed of ``normal'' examples with only a small
The Contourlet Transform: An Efficient Directional Multiresolution Image Representation
 IEEE TRANSACTIONS ON IMAGE PROCESSING
"... The limitations of commonly used separable extensions of onedimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a “true” twodimensional transform that can capture the intrinsic geometrical structure t ..."
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Cited by 513 (20 self)
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link between the developed filter bank and the associated continuousdomain contourlet expansion via a directional multiresolution analysis framework. We show that with parabolic scaling and sufficient directional vanishing moments, contourlets achieve the optimal approximation rate for piecewise smooth
The det curve in assessment of detection task performance,”
 in Proceedings of the EUROSPEECH,
, 1997
"... ABSTRACT We introduce the DET Curve as a means of representing performance on detection tasks that involve a tradeoff of error types. We discuss why we prefer it to the traditional ROC Curve and offer several examples of its use in speaker recognition and language recognition. We explain why it is ..."
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Cited by 364 (5 self)
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it is likely to produce approximately linear curves. We also note special points that may be included on these curves, how they are used with multiple targets, and possible further applications.
Results 1  10
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