三角形

A plane to the triangle, triangle identified include this in two parallel axes of the smallest rectangle.

給一個平面上的三角形，找出包含此三角形且平行於兩軸的最小矩形。

The rotational inertia of an arbitrarily triangle uniform plane is calculated by a simple method. It is pointed out that principal axes can be deduced from the calculation.

摘要用一种简单的方法计算了均质的任意三角形平板刚体的转动惯量，并由此结果给出一般三角形的惯量主轴。

With the method and the relation between the center of a circle and a triangle, the relation between the triangle and the circle can be determined rapidly, hence to quickly and correctly determine the position relation between the projections of the triangle plane and the tool in tool axis direction, and raise the efficiency of 3-axis NC machining.

借助于该方法及圆心相对三角形的位置关系，可以快速判别三角形与圆的位置关系，从而能据此快速、准确地判别三角片与刀具两者在刀轴方向投影的位置关系，提高3坐标数控加工干涉检查的效率。

The formula for area of ellipsoidal triangle on earth ellipsoid by means of geodesic coordinate is derived in this paper. It is showed that the primary term is identical with the formula for area of plane triangle by planimetric rectangular coordinate in three angular point, while the expression of remainder terms has also regularity of its form. The presented formula can be applicable also to convex polygon on earth ellipsoid.

本文推导出用三顶点的测地坐标计算地球椭球面上三角形面积的公式，公式表明，其主项的表示式与按平面坐标求面积的计算式完全一致，而附加项的表示式亦有规律可循，因此该公式的适用范围可由椭球面三角形推广至椭球面上任意凸多边形。

For a given ray and a complex scene including dense triangle meshes, this approach can cull most nonintersecting triangles by a simple rejection test that only involves triangle/plane intersection tests.

针对由稠密三角形网格组成的复杂场景，算法通过三角形和测试平面的相交判断剔除与投射光线不相交的绝大多数三角面片。

The approach of solving mean curvature,Gaussian curvature and principal curvatures of general triangular mesh model was derived.Considering coarse triangular mesh model is often seen,in order to increase the precision of curvatures,combined with Loop subdivision algorithm,the curvature algorithm was further extended.

推导了一般三角形网格模型顶点的平均曲率、高斯曲率和主曲率的计算方法，考虑到经常遇到粗糙三角形网格模型，为提高其曲率计算方法的精度，结合Loop细分曲面算法，进一步拓展了该曲率计算方法。

Then, the notion of ordered target triangle was defined. It quickly found ordered target triangles and generated the non-ray Voronoi diagram. Considering the characteristics of convex hull, a ray Voronoi diagram was generated by three infinite points.

然后又定义了有序目标三角形的概念，该算法能迅速查找点的有序目标三角形，生成无射线的Voronoi图；考虑凸壳上点的特性，借助三个无穷点生成带射线的Voronoi图。

Considering coarse triangularmesh model is often seen, in order to increase the p recision of curvatures,combined with Loop subdivision algorithm, the curvature algorithm was further extended.

推导了一般三角形网格模型顶点的平均曲率、高斯曲率和主曲率的计算方法，考虑到经常遇到粗糙三角形网格模型，为提高其曲率计算方法的精度，结合Loop 细分曲面算法，进一步拓展了该曲率计算方法。

In our experiments, we tested the relation between the recognizability and the recognition rate.

人脸的可辨识度以人脸大小，和两眼和嘴巴的三角形和等腰三角形的相似和度为计算依据。

This algorithm generates spatially regular triangle meshes and can be very storage-consuming and hard rendering when the volume data is huge.

利用走访立方体法可以撷取单一解析度的三角形网格，但针对非常大型的三维影像可能会产生过多的三角形，造成储存及显像上的困难。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。