在拉格uerre几何中用四边网格进行近似
Approximation by Quad Meshes in Laguerre Geometry
AI总结：
研究了拉格uerre球几何中平面四边形网格的类比及用其近似光滑表面的方法，提出拉格uerre共轭网格的概念并用于表面近似。
摘要：
我们研究了拉格uerre球几何中平面四边形网格的类比以及用这些网格近似光滑表面。这些新的拉格uerre网格可以看作由平面四边形（对应网格顶点）、圆锥带（代表边）和球面面组成的封闭表面。在光滑极限下，我们得到拉格uerre几何中共轭网的类比，称为相对于附加球面丛的拉格uerre共轭网。我们引入了拉格uerre共轭方向的概念，提供了计算方法，并将其应用于具有指定球面面半径的L-网格表面近似。
英文摘要：
We study analogs of planar-quadrilateral meshes in Laguerre sphere geometry and the approximation of smooth surfaces by them. These new Laguerre meshes can be viewed as watertight surfaces formed by planar quadrilaterals (corresponding to the vertices of a mesh), strips of right circular cones (representing the edges), and spherical faces. In the smooth limit, we get an analog of conjugate nets in Laguerre geometry, which we call Laguerre conjugate nets with respect to an attached sphere congruence. We introduce the notion of Laguerre conjugate directions, provide a method for computing them, and apply them to approximate surfaces by L-meshes with prescribed radii of spherical faces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
