首先介绍一下重心坐标系(BaryCentric Coordinates)。在三角形ΔABC中,P点可以用ABC三点来表示,即P=sA+qB+rC 且s+q+r… blog.csdn.net|基于40个网页 3. 质心坐标 物理专业词汇英语翻译(A-D) ... barycentric 重心的barycentric coordinates质心坐标barygyroscope 重力控制陀螺仪 ... ...
美['bærisntrɪk] 英['bæri:sntrɪk] adj.〔数〕重心的 网络质心;齐次 英汉 网络释义 adj. 1. 〔数〕重心的 例句
all the desirable properties of barycentric coordinates in arbitrary dimensions. Finally, we provide an example of constructing such barycentric functions over regions bounded by parametric curves and show how they can be used to performfreeformdeformations. Keywords: barycentric coordinates, convex polyhedr...
The intrinsic properties are preserved by interpolating angles and edge lengths components of mean value barycentric coordinates, rather than interpolating the ... Surazhsky,Vitaly,Gotsman,... - 《International Journal of Shape Modeling》 被引量: 74发表: 2003年 Baryzentrische Formeln zur Trigonome...
coordinates and carry some of their useful properties such as unique reconstruction of a point given its coordinates, uniqueness for triangles, edge linearity, similarity invariance, and smoothness; in addition, these coordinates are insensitive to isometric deformations and can be used to reconstruct ...
Higher order interpolation formulas using the barycentric coordinates will be given later (see Sections 4.2, 4.3, 4.4). Differential properties We give some differential properties of the λi considered as functions of the cartesian coordinates x1,…, xn, of P; here we denote by D the gradient...
We prove theoretically that the surface coordinates properly generalize the planar coordinates and carry some of their useful properties such as unique reconstruction of a point given its coordinates, uniqueness for triangles, edge linearity, similarity invariance, and smoothness; in addition, these ...
This work employs the barycentric Lagrange treecode (BLTC) to reduce the cost of the matrix-vector product toO(NlogN)while introducing a controllable approximation error. Numerical experiments compare the performance of SLDM-DS and SLDM-BLTC in serial and parallel (32 core, GPU) calculations...
barycentriccoordinatessumtooneforanyx.Wefurtherdemandthattheyare1 atthecorrespondingnodeand0atallothernodes.Theresultingbarycentricbasis functionsb i :R m →R,i=0,...,narethencharacterizedbythethreeproperties: Partitionofunity: n i=0 b i (x)=1,(2a) Barycentricproperty: n i=0 b i (x)x i ...
We investigate the theoretical properties of the interior distance in relation to properties of the chosen boundary distances and barycentric coordinates, and we investigate empirical properties of the interior distance using diffusion distance as the prescribed boundary distance and mean value coordinates. ...