本文提出一种直接在点采样曲面上计算曲面的高斯曲率、平均曲率及主曲率等局部微分性质的方法。
An approach is proposed to estimate several differential properties, including Gaussian curvature, mean curvature and main curvature on point-sampled surfaces in presence of noise.
目的分析与研究高斯关于非欧几何的研究和内蕴微分几何思想之间的联系。
Aim To study the relations between the thought of Gaussian intrinsic differential geometry and Gauss's earlier research on non-Euclidean geometry.
子流形高斯像的几何与拓扑是整体微分几何领域的重要研究课题之一。
It plays an important role in global differential geometry to study the geometric and topological properties of Gaussian image of submanifolds.
目的系统探讨和分析蒙日几何学派和高斯几何学派的微分几何思想。
Aim To systematically discuss and analyze Monge′s and a Gauss′s differential geometry thought.
从光线微分方程求得纤维中光线轨迹的解析解，并给出纤维透镜的高斯参数及物像计算公式。
The analytical solutions for ray paths in the fiber are obtained from the ray differential equation and the Gaussian parameters and the imaging formulas of the lens are also given.
本文通过理论推导，证明在反应动力学常微分方程参数估值中所采用的拟线性化法在本质上仍然属于高斯—牛顿法的范畴。
This paper proves that the quasilinearization method for parameter estimation of ordinary differential equation in chemical reaction kinetics essentially belongs to the region of Gauss-Newton method.
本文通过理论推导，证明在反应动力学常微分方程参数估值中所采用的拟线性化法在本质上仍然属于高斯—牛顿法的范畴。
This paper proves that the quasilinearization method for parameter estimation of ordinary differential equation in chemical reaction kinetics essentially belongs to the region of Gauss-Newton method.
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