circumradius

The shape characteristics of multi-tomatoes seriously overlapped are extracted in a variety of natural growth conditions . Characteristics parameters of shape in each tomato , such as the center point and circumradius , are determined based on the cluster algorithm of the boundary string bisector .

针对多种生长状态下尤其是严重重叠的多果实番茄图像的形状特征提取，提出基于边界弦平分线结合聚类算法，确定出每个果实的中心点和外接圆半径等形状特征参数。

Two Geometric Inequalities for the Circumradius of Simplexes

n维单形外接球半径两个几何不等式

The measurement of the length of common normal is introduced and through technological analysis the theory is advanced that correctly selecting the outer circumradius of grinding wheel is the key factor in determining the cycloidal wheel and wheel form .

通过工艺分析，指出了正确选择磨削砂轮外缘园弧半径是决定摆线齿轮齿形的关键因素。

A geometric inequality for the circumradius and inradius of an n-dimensional simplex Ω n and it 's inscribed simplex Ω 'n is established . It contains the n-dimensional Euler inequality .

本文建立了n维单形Wn与其内接单形W'n的外接球半径和内切球半径的一个几何不等式，它包含了n维Euler不等式。

In two inequalities concerning the circumradius and inradius of an n dimensional simplex in the n dimensional Euclidean space E n were obtained , Thus , the n dimensional Euler inequality and the inequality in , were improved .

给出了n维欧氏空间En中的两个关于单形外接球半径和内径的几何不等式，同时进一步改进了文〔1〕和〔2〕中的n维欧拉不等式。

The theory of distance geometry and the analytic method is used to study the inequality for circumradius and inradius and for the volume and edge-lengths of an n-dimensional simplex in the n-dimensional Euclidean space E ~ n.

应用距离几何理论和解析方法研究了n维欧氏空间En中n维单形的外接球半径与内切球半径之间的不等式关系，以及单形体积与棱长之间的不等式关系。

In this paper , we discuss some geometric problems in n dimensional elliptic space Sn to give the theory of cosine , the formula of highness , inradius , circumradius and distance between inscribed spherical centre and circumscribed spherical centre about n dimensional spherical simplex .

本文用新方法讨论解决了n维椭圆空间S~n中若干几何问题。给出了关于n维球面单形的余弦定理、高的公式、内切及外接球半径r，R以及内心I与外心Q间的距离公式。

With given circumradius R and inradius r , two fundamental inequalities related to the lower bound of the area A and perimeter p of a convex set K are obtained . Moreover , the equality is proved to hold when the convex set K is a double cap-body .

在给定平面凸集K的外径R和内径r的条件下，得到了关于凸集的面积A和周长p的下界的一组不等式，并且证明了当凸集K为双帽体时不等式取得等号。