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Robust Fitting of Parametric Curves
, 2008
"... We consider the problem of fitting a parametric curve to a given point cloud (e.g., measurement data). Leastsquares approximation, i.e., minimization of the ℓ2 norm of residuals (the Euclidean distances to the data points), is the most common approach. This is due to its computational simplicity [1 ..."
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We consider the problem of fitting a parametric curve to a given point cloud (e.g., measurement data). Leastsquares approximation, i.e., minimization of the ℓ2 norm of residuals (the Euclidean distances to the data points), is the most common approach. This is due to its computational simplicity
FINDING SIGNIFICANT POINTS FOR PARAMETRIC CURVE GENERATION TECHNIQUES
, 2008
"... Finding significant points for parametric curve generation techniques ..."
On the Complexity of Parametrizing Curves
, 1996
"... . Given a rational algebraic plane curve C in implicit representation we analyze the bit complexity of an algorithm to describe C by parametric equations. Estimates for subalgorithms for computing the standard decomposition of singularities and the genus are also obtained. 1. Introduction Rational ..."
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Cited by 2 (2 self)
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. Given a rational algebraic plane curve C in implicit representation we analyze the bit complexity of an algorithm to describe C by parametric equations. Estimates for subalgorithms for computing the standard decomposition of singularities and the genus are also obtained. 1. Introduction Rational
From Edgels to Parametric Curves
 Proc. of the 9 th Scandinavian Conf. on Image Analysis, SCIA'95
, 1995
"... In many applications more than one curve type is needed to explain the edge data reasonably well. In this paper we present a robust algorithm which is designed to work concurrently with different curve types where each curve type selects its own domain of applicability. The major components of o ..."
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Cited by 2 (0 self)
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In many applications more than one curve type is needed to explain the edge data reasonably well. In this paper we present a robust algorithm which is designed to work concurrently with different curve types where each curve type selects its own domain of applicability. The major components
Geometric Fitting of Parametric Curves and Surfaces
"... Abstract: This paper deals with the geometric fitting algorithms for parametric curves and surfaces in 2D/3D space, which estimate the curve/surface parameters by minimizing the square sum of the shortest distances between the curve/surface and the given points. We identify three algorithmic appro ..."
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Abstract: This paper deals with the geometric fitting algorithms for parametric curves and surfaces in 2D/3D space, which estimate the curve/surface parameters by minimizing the square sum of the shortest distances between the curve/surface and the given points. We identify three algorithmic
Adaptive Polygonal Approximation of Parametric Curves
"... We present methods for constructing polygonal approximation of parametric curves based on adaptively sampling the parameter domain with respect to curvature. An important feature of these methods is the use of random probing for handling aliasing. We also discuss numerical applications of this me ..."
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We present methods for constructing polygonal approximation of parametric curves based on adaptively sampling the parameter domain with respect to curvature. An important feature of these methods is the use of random probing for handling aliasing. We also discuss numerical applications
TRANSVECTION AND DIFFERENTIAL INVARIANTS OF PARAMETRIZED CURVES
"... Abstract. In this paper we describe an sl2 representation in the space of differential invariants of parametrized curves in homogeneous spaces. The representation is described by three operators, one of them being the total derivative D. We use this representation to find a basis for the space of di ..."
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Abstract. In this paper we describe an sl2 representation in the space of differential invariants of parametrized curves in homogeneous spaces. The representation is described by three operators, one of them being the total derivative D. We use this representation to find a basis for the space
Results 1  10
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259,659