The shape features of planar trigonometric Bézier curves with two shape parameters are analyzed. The necessary and sufficient conditions are derived for these curves having one or two inflection points, a loop or a cusp, or be locally or globally convex. All conditions are completely characterized by the relative position of the control polygon’s side vectors. Furthermore we discussed the influ...

in iran, for column design, double i shape section is used due to lack of ipb profile. double i shape column performance is ambiguous in existing steel structures, especially when subjected to seismic loading. in this paper, double i shape column behavior is evaluated with 3d nonlinear analyses. monotonic behavior of 6 specimens and hysteretic behavior of other six specimens have been simulated...

Article history: Received 29 October 2015 Received in revised form 18 December 2015 Accepted 19 December 2015 Available online 29 December 2015 Particle shape plays an important role in determining the engineering behaviour of granular materials. In this regard, characterisation and quantification of particle shape are essential for understanding the behaviour of granular materials. X-ray micro...

In this article, we present a particle filter (PF)-based track-before-detect (PF TBD) procedure for detection of extended objects whose shape is modeled by an ellipse. By incorporating of an existence variable and the target shape parameters into the state vector, the proposed algorithm performs joint estimation of the target presence/ absence, trajectory and shape parameters under unknown nuis...

In this paper, the automatic measurement method of the Hydraulic Torque Converter shape parameters is studied. Aiming at the defects of the traditional manual measurement method, the solution for measuring the shape parameters of Hydraulic Torque Converter with the automatic measurement system is proposed on the basis of in-depth analysis for the Hydraulic Torque Converter shape parameters’ cha...

In this article a novel algorithm is presented for 2D shape interpolation using the intrinsic shape parameters of a piecewise linear curve. The skeletons of two given shapes are computed and the smooth transformation of distance fields is driven by metamorphosis from the skeleton of the source object to that of the target one. We introduce feature graphs, linear forms of skeletons, to guide the...

Interpolation of a sequence of points by spline curves generally requires the solution of a large system of equations. In this paper we provide a method which requires only local computation instead of a global system of equations and works for a large class of curves. This is a generalization of a method which previously developed for Bspline, NURBS and trigonometric CB-spline curves. Moreover...

In this paper a new kind of quasi-quartic trigonometric polynomial base functions with two shape parameters λ and μ over the space Ω = span {1, sin t, cos t, sin2t, cos2t, sin3t, cos3t} is presented and the corresponding quasi-quartic trigonometric Bézier curves and surfaces are defined by the introduced base functions. Each curve segment is generated by five consecutive control points. The sha...

We consider manifolds of curves and surfaces which are controlled by certain systems of shape parameters. These systems may be given by the control points of a spline curve, the coefficients of an implicit equation, or other parameters controlling the shape. Each system of shape parameters corresponds to a chart of the manifold. In order to fit a curve or surface from such a manifold to given u...

The introduction of shape parameters into the statistical literature opened new areas of research and allowed statisticians to use models that produced better fits to experimental data. The Weibull and gamma families are prime examples wherein shape parameters produce more reliable statistical models than standard exponential models in lifetime studies. In the presence of many gamma-populations...