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plane curves

On a Gradient Flow of Plane Curves Minimizing the Anisoperimetric Ratio

On a Gradient Flow of Plane Curves Minimizing the Anisoperimetric Ratio

... of plane curves minimizing their anisoperimetric ...of plane curves like swallow tails and/or merging of numerical grid points leading to break-up of the numerical scheme known for the case ...

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Minkowski symmetry sets of plane curves

Minkowski symmetry sets of plane curves

... of plane curves and of surfaces the Euclidean 3-space are well studied and have applications in computer vision and shape recognition (see for example ...

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Minkowski medial axes and shocks of plane curves

Minkowski medial axes and shocks of plane curves

... The concept of the medial axis of Euclidean plane curves was first introduced by Blum in [1]. For a closed and smooth curve γ the medial axis is defined to be the locus of the centres of maximal circles ...

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Intersections of Rational Parametrized Plane Curves

Intersections of Rational Parametrized Plane Curves

... rational plane curve are not ...rational plane curve are ...to plane curves, and below is the statement of their result for plane ...

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A generalization on the solvability of integral geometry problems along plane curves

A generalization on the solvability of integral geometry problems along plane curves

... This paper is concerned with a general condition for the solvability of integral geometry problems along the plane curves of given curvatures. As two important results, the solvabilities of integral ...

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Piecewise Linear Approximation of Plane Curves with Restrictions in Computer Aided Design of Railway Routes

Piecewise Linear Approximation of Plane Curves with Restrictions in Computer Aided Design of Railway Routes

... Abstract Under study is approximation problems of plane curves defined by a sequence of points. These problems arise in computer-aided design planning of linear structures. The approximating curve consists ...

5

Equidistants and Their Duals for Families of Plane
Curves

Equidistants and Their Duals for Families of Plane Curves

... All our results are local in nature and the article is organized as follows. In §2 we give the local form of the family of curves being studied, the same as in [6]. In §3 we explain our first method of studying ...

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Centre Symmetry Sets of Families of Plane Curves

Centre Symmetry Sets of Families of Plane Curves

... The situation at a special point on the y-axis must be different, since there, the local picture of the CSS for ε “ 0 is a line (the y-axis) and a parabolic curve by Proposition 3.4, and in fact, the big CSS is singular. ...

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The determination of the intersection of projective plane P2 (K) curves based on the bezout's theorem

The determination of the intersection of projective plane P2 (K) curves based on the bezout's theorem

... The question on the number of points of intersection had been the subject of conjecture for some time earlier, and it was expected that two plane curves of respective total degrees m and n in some sense had ...

22

Parametric models of surfaces

Parametric models of surfaces

... parametric curves are families of plane curves^ and in fact each may be associated with & family of planes H to form a pair (T<?3X)? where T denotes the subspaoe of genus one itself, Xf ...

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Curves in characteristic 2 with non trivial 2 torsion

Curves in characteristic 2 with non trivial 2 torsion

... smooth plane curves of degree d that do not contain the coordinate points and that intersect the coordinate axes ...smooth plane curve of degree d carries a k-rational half-canonical ...

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Convolution estimates related to space curves

Convolution estimates related to space curves

... results previously known for convolution estimates related to space curves, namely [1-6]. This article is organized as follows: in the following section, a uniform estimate for convolution operators with measures ...

6

Uniform Lorentz norm estimates for convolution operators

Uniform Lorentz norm estimates for convolution operators

... simple plane curves are ...simple curves, and the condition is stated in terms of averages of the square of the affine arclength weight, extending previously known ...

9

Vol 9, No 1 (2018)

Vol 9, No 1 (2018)

... Theorem 2.1: In an almost Kaehlerian space, an infinitesimal transformation preserves the H-plane curves, if and only if it is an analytic HP-transformation.. SOME PROPERTIES OF HP-TRAN[r] ...

5

Determinantal Representations, Invariance, and the Numerical Range.

Determinantal Representations, Invariance, and the Numerical Range.

... We study properties of plane curves that may be certified with a determinantal representation. A well known result due to Helton and Vinnikov relates hyperbolicity of plane curves to ...

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Extraction of 3D Information from Circular Array Measurements for Auralization with Wave Field Synthesis

Extraction of 3D Information from Circular Array Measurements for Auralization with Wave Field Synthesis

... Since the sensitivity of the human ear to vertical local- ization is not very high [6, 7], some inaccuracy in the repro- duction is permitted from a perceptual point of view. As the floor of a concert hall or theatre is ...

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Gibbs Density Surface of Water and Steam: 2nd Debate on the Absence of Van Der Waals’ “Critical Point”

Gibbs Density Surface of Water and Steam: 2nd Debate on the Absence of Van Der Waals’ “Critical Point”

... Phase diagram of water in the p-T plane; the coexisting density curves are taken from the experimental measurements of the IAPWS International Steam Tables [11]; the supercritical percol[r] ...

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Test-retest reliability of the net joint power transferred by the lower limbs during walking in healthy men

Test-retest reliability of the net joint power transferred by the lower limbs during walking in healthy men

... Qualisys track manager software (Qualisys, Sweden, Göteborg) was used for the measurement. First, indi- vidual retro-reflective markers were identified. Kine- matic and kinetic data in C3D format were subsequent- ly ...

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In-situ Characterization of Fabric Thickness under Tension based on CHES-FY System

In-situ Characterization of Fabric Thickness under Tension based on CHES-FY System

... Figure 4 shows the typical deformation for most solid materials- the material becomes thinner under stretching- this is generally known as the Poisson effect. In order to study Poisson’s ratio in terms of the Young’s ...

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