An Algorithm from Surface Curvature Estimation on Range Images

Based on study of relationship between the average quadric error and the surface curvature, a variable resolution surface reconstruction algorithm was proposed.

在研究平均二次误差与曲面曲率关系的基础上，提出了变分辨率的曲面重建算法。

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Basic geometric parameters and surface curvature are described.

提炼出几何基本参数及曲面曲率性质。

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Complete space-like submanifolds with parallel mean curvature vector in de Sitter spaces

De Sitter空间中具有平行平均曲率向量的完备类空子流形

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Submanifolds with Parallel Mean Curvature Vector in Spheres

球面上中曲率向量平行的子流形

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On stationary Submanifolds with parallel normalized mean curvature vector

具有平行正则平均曲率向量的稳定子流形

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An integral inequality for Submanifolds with parallel mean curvature vector

具有平行中曲率向量的子流形的一个积分不等式

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Totally real submanifolds with parallel mean curvature vector in cp~ n

CP~n中具有平行中曲率向量的全实子流形

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Compact totally real submanifolds in a complex space form without parallel mean curvature vector

复空间形式■~（2n）（C）中不存在平行平均曲率向量的紧致全实子流形

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The mean curvature vector of surfaces in r~ n

R~n中曲面的平均曲率向量

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The paper describes a high resolution, high accuracy and simple method of measuring dymamic angle by means of optical self-collimating of concave mirror curvature center.

用四球面反射镜曲率中心光学自准方法，通过测量自准像位移来计算弯沉角，是一种高分辨率、准确、简单地测量方法。

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Non-standard Design for Concave Curvature Radius of Belt Conveyor

带式输送机凹弧段曲率半径的非标设计

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Finally, a sufficient condition ensuring the submanifolds have positive sectional curvature is obtained.

最后，给出了使截面曲率大于零的一个充分条件。

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In this paper, some properties of totally real and totally umbilical submanifolds of a complex projective space are obtained. We also prove that a compact totally real submanifold with positive curvature and parallel mean curvature vector of a complex projective space must be pseudo-umbilical.

获得了复射影空间中全实全脐子流形的若干性质，并且证明了复射影空间中具有平行平均曲率向量的正曲率紧致全实子流形必是伪脐的。

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On the Instability of Integral Currents and Harmonic Maps in Riemannian Manifolds of Positive Curvature

正曲率流形上积分流与调和映射的不稳定性

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On the other hand, a positive curvature would imply that three-dimensional space is finite and closed.

另一方面，一个正的曲率将必然说明三维空间是有限的，而且是封闭的。

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Positive curvature has been a frequent subject in Riemannian geometry.

曲率是黎曼几何中的热门研究课题。

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Then, make use of the positive curvature extreme points which correspond to each silhouette segment, to combine fine silhouette segments. So we can obtain the silhouette, which can represent limbs of human body.

然后，利用每个轮廓片段对应的正曲率极值点将细小轮廓片段进行合并，从而获得能够单独表示人体肢体的轮廓。

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Could it be said that God favors positive curvature?

难道上帝对正曲率空间有偏爱？

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Grinding and Inspection of Spherical Mirror with Long Curvature Radius

特长曲率半径球面反光镜的磨制与检测

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Test of spherical surface with small curvature and large aperture

小曲率大口径球面的检验

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