G1 arc spline approximation of quadratic Bézier curves

Surveillance means is a system that monitors the behavior, activities, or other changing information; usually it is used to recognize the people for the purpose of security issues in society. This paper aims to propose a novel approach based on sensor data acquired by an optical system for the purpose of human identification. Three joints of the human body, such as the hip, knee, and ankle joint have been selected by the amount of gait movement in this algorithm. By extracting suitable 3D static and dynamic joints feature from data. The method applies the PBC (Parametric Bézier Curve) technique on the extracted features in order to derive the strong correlation between joint movements. The curve control points are used to construct the triangles of each walking pose of human. The geometric function and statistical methods on the triangles are used here to compute the gait signature and analysis of this signature and find the maximum unique relationship among the human gait during the walk, and use it as to classify the human identification. The experimental results demonstrate that this method is more accurate and reliable.

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“…The characteristics contain Bezier curve [47], geometric function [30][31], and statistical technique [36].…”

Section: Methodsmentioning

confidence: 99%

Human Identification Using Sensors Data Based on 3D Gait Area

Ali

Zhou

et al. 2014

2014 International Conference on Cyberworlds

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“…This task is to approximate a planar parametric curve with a G 1 arc spline made of biarcs [9][10][11][12][13][14][15]. The practical approach for G 1 arc spline approximation of a planar curve is to divide the curve of interest into smaller segments such that each segment can be approximated by a biarc within a specified tolerance [14], [15].…”

Section: Arc Spline Approximation Of a Planar Curvementioning

confidence: 99%

“…It is easy to use, computationally efficient in shape modeling, and well used as the description of tool path of CNC machines. In programming the CNC tool path, fewer arc segments can help to improve the production efficiency by reducing the number of instructions and tool motions [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Therefore, approximating points, polygons, or arbitrary curves with arc splines is of particular importance.…”

Section: Introductionmentioning

confidence: 99%

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Optimal Single Biarc Fitting and its Applications

Park¹

2004

Computer-Aided Design and Applications

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This paper proposes a new approach for fitting an optimized biarc to a given 2D polygon and its two end tangents. A biarc can be constructed which matches two end points and two end tangents, but an additional constraint is required to make the biarc unique. The conventional approach to biarc construction, which has been adopted in arc spline approximation, introduces additional constraints to uniquely determine the biarc. Instead of imposing such constraints, the proposed approach exploits the inherent freedom in the choice of the biarc to achieve a better fit minimizing the distance between the polygon and the biarc. The approach is simple in concept and acceptable in computation. When applied in arc spline approximation tasks, the approach can play an important role in reducing the number of segments in the resulting arc spline. Some experimental results demonstrate its usefulness and quality.

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“…As regards the quadratic Bezier curves, their approximation is quite thoroughly investigated in [1,6,9,10]. Yang [11] generalizes the algorithm presented in [10] for approximating arbitrary types of smooth parametric curves by arc splines.…”

Section: Introductionmentioning

confidence: 99%

An Improved Algorithm for the Approximation of a Cubic Bezier Curve and its Application for Approximating Quadratic Bezier Curve

Riškus

Liutkus

2013

ITC

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In this paper an improved version of an earlier proposed algorithm for approximating cubic Bezier curve by a set of circular arcs is presented. It is investigated how the improved algorithm fits for approximation of quadratic Bezier curves. These issues occur in CAD/CAM systems during data exchange into data formats which do not support Bezier curves. Experimental results on examples, widely used in the sources enlisted in references, are presented. Two typographical errors, made in the previous article, are corrected.

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G1 arc spline approximation of quadratic Bézier curves

Cited by 34 publications

References 8 publications

Human Identification Using Sensors Data Based on 3D Gait Area

Human Identification Using Sensors Data Based on 3D Gait Area

Optimal Single Biarc Fitting and its Applications

An Improved Algorithm for the Approximation of a Cubic Bezier Curve and its Application for Approximating Quadratic Bezier Curve

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