2D curve fitting/ C4130 Interpolation and function approximation (numerical analysis) C6130 Data handling techniques C7310 Mathematics computingA new algorithm for fitting a smooth curve through two datapoints, to meet specified tangent direction and curvature requirements at these datapoints, is described...
The black curve is the z-component of the Berry curvature over occupied states Ωzocc=ΣnfnΩzn. Selected Berry curvature monopoles are highlighted by circles and numbered. The investigated contribution to the intrinsic AHE is marked by black ellipse. The green crosses mark k-points where bands...
For the side force, this resulted in a horizontal and a vertical shift of the Fy vs α curves, while for the aligning torque, besides the small effect of the shifted Fy curve, the residual torque Mzr was added in which a contribution of camber occurs. Furthermore, changes in shape ...
Among the physicochemical cues in the cellular microenvironment that orchestrate cell processes, the different levels of curvature in the extracellular matrix and intrinsic to the tissues play a pivotal role in the spatiotemporal control of key cellular
of the vertical distances and the other with x = g(y) that minimizes the sum of the horizontal distances from the known points to the approximated curve. The tangent angle and curvature are therefore directly computable from the first- and second-order derivatives of the continuous functions. ...
- 《American Journal of Mathematics》 被引量: 7发表: 2015年 A weighted curvature flow for shape deformation In this paper we shall discuss a weighted curvature flow for a regular curve in the 2D Euclidean space. The weighted curvature flow for planar curves is a ... Sheng-Gwo,Chen,and,....
Spur Gear Tooth Design with S-Shaped Transition Curve using T-Bézier Function The main focus of this paper is on the construction of S-shaped transition curve and extended to 2D and 3D spur gear tooth design. The curve and design is ... M Abbas,SH Yahaya,AA Majid,... - Elsevier Ltd...
There is no geometrical reason why a curve could not end with zero curvature. There should be a solution to this problem : it is to constrain the last two [edit : three] control points of the curve onto the line prolongation but in this case, in order that the curve and the line ...
Results A definition of overcurvature. The conformation of a buckled or folded closed ring of small cross-section is described by the centre line passing through the centre of gravity of its cross-section, and is represented by a closed curve of equation r(s) where s is the arc length ...
Jan Modersitzki, in Handbook of Numerical Analysis, 2019 4.3.2 Gaussian curvature regularizer Gaussian curvature was investigated in Ibrahim et al. (2014). For 2D, κ in (5) is replaced by κG(uj)=uj;1,2uj;2,1−uj;1,1uj;2,2(uj;12+uj;22+1)2. It is fair to remark that ...