centroid
简明释义
n. （数）形心
英英释义
单词用法
重心法 |
同义词
反义词
例句
1.A new method of centroid calculation is given to reduce SIB influence effectively.
提出一种减小这种影响的质心计算方法，实验证明是有效的。
2.The inaccurate Doppler centroid estimation can evidently degrade the quality of SAS image.
不准确的多普勒中心估计会显著降低合成孔径声纳图像质量。
3.The conventional monopulse radar will track a power weighted centroid of target and be interfered when troid-interference is present.
存在质心干扰情况下，普通单脉冲雷达将跟踪干扰与目标的能量重心。
4.In This paper, a normalized linear quadtree representation is obtained by normalizing an object with respect to its centroid and principal axes.
本文通过对图象中客体的形心和主轴进行正规化处理而得到其标准线性四元树表示方法。
5.The moment method was used to estimate the centroid in a digital sun sensor to increase the angle measurement accuracy and computation speed.
为提高数字太阳敏感器的角度测量精度，降低计算量，提高运算速度，选用矩法进行太阳成像质心的估算。
6.In this part, we investigated the phase-information-based methods for centroid tracking.
在这一部分中我们对基于相位信息的质心跟踪方法进行了研究。
7.We use signed distance and centroid to defuzzify the total cost in the fuzzy sense in fuzzy inventory without backorder.
利用有号距离和形心将无缺货补货的模糊库存的总成本利用有号距离和形心解模糊化。
8.In This paper, a normalized linear quadtree representation is obtained by normalizing an object with respect to its centroid and principal axes.
本文通过对图象中客体的形心和主轴进行正规化处理而得到其标准线性四元树表示方法。
9.In computer graphics, the centroid of a polygon is often used for rendering calculations.
在计算机图形学中，通常使用多边形的重心进行渲染计算。
10.The centroid of a uniform density shape coincides with its geometric center.
均匀密度形状的重心与其几何中心重合。
11.We calculated the centroid of the data points to better understand the distribution.
我们计算了数据点的重心以更好地理解分布情况。
12.The centroid of a triangle is the point where all three medians intersect.
三角形的重心是三条中线交汇的点。
13.To find the centroid of a set of points, you can calculate the average of their coordinates.
要找到一组点的重心，可以计算它们坐标的平均值。
作文
In the field of mathematics and geometry, the concept of a centroid plays a crucial role in understanding the properties of shapes and figures. The centroid, often referred to as the center of mass or the geometric center, is defined as the point where all the mass of a shape can be considered to be concentrated. In simpler terms, it is the average position of all the points in a shape. This concept can be applied to various geometric figures, such as triangles, rectangles, and even irregular polygons. To find the centroid of a triangle, for example, one can use the coordinates of its vertices. The formula for calculating the centroid (G) of a triangle with vertices at points (x1, y1), (x2, y2), and (x3, y3) is given by: G = ((x1 + x2 + x3) / 3, (y1 + y2 + y3) / 3). This formula indicates that the centroid is located at the average of the x-coordinates and the average of the y-coordinates of the triangle's vertices. This simple yet powerful method showcases how the centroid serves as a balancing point for the triangle. The importance of the centroid extends beyond just triangles. In the case of more complex shapes, such as rectangles or circles, the centroid can still be determined using similar principles. For a rectangle, the centroid is located at the intersection of its diagonals, while for a circle, the centroid is simply at its center. Understanding the centroid is not only vital in pure mathematics but also has practical applications in various fields. For instance, in engineering and physics, the centroid is essential when analyzing the stability of structures. Knowing the centroid helps engineers ensure that buildings and bridges can withstand forces acting on them without tipping over. In computer graphics and animation, the concept of the centroid is utilized for rendering and manipulating objects. When creating animations, artists often need to know the centroid of an object to apply rotations and transformations accurately. This ensures that the movements appear natural and fluid, enhancing the overall visual experience. Furthermore, in the field of robotics, the centroid assists in path planning and navigation. Robots must calculate their centroid to navigate through environments effectively, avoiding obstacles while maintaining balance. In conclusion, the centroid is a fundamental concept that transcends various disciplines, from mathematics to engineering and computer graphics. Its ability to represent the average position of a shape makes it an invaluable tool for understanding and analyzing both theoretical and practical problems. By mastering the concept of the centroid, students and professionals alike can enhance their problem-solving skills and apply these principles across different fields. As we continue to explore the vast world of geometry and its applications, the centroid will undoubtedly remain a key element in our understanding of shapes and structures.
在数学和几何学领域，centroid（质心）的概念在理解形状和图形的性质方面起着至关重要的作用。centroid 通常被称为质心或几何中心，定义为一个形状的所有质量可以被视为集中在一起的点。简单来说，它是一个形状中所有点的平均位置。这个概念可以应用于各种几何图形，例如三角形、矩形，甚至不规则多边形。例如，要找到三角形的centroid，可以使用其顶点的坐标。计算具有顶点 (x1, y1)、(x2, y2) 和 (x3, y3) 的三角形的centroid（G）的公式为：G = ((x1 + x2 + x3) / 3, (y1 + y2 + y3) / 3)。这个公式表明，centroid 位于三角形顶点的 x 坐标的平均值和 y 坐标的平均值处。这个简单而强大的方法展示了centroid 如何作为三角形的平衡点。centroid 的重要性不仅限于三角形。在更复杂的形状中，例如矩形或圆，仍然可以使用类似的原则来确定centroid。对于矩形，centroid 位于其对角线的交点，而对于圆，centroid 则简单地位于其中心。理解centroid 不仅在纯数学中至关重要，而且在各个领域也有实际应用。例如，在工程和物理学中，centroid 在分析结构的稳定性时至关重要。知道centroid 有助于工程师确保建筑物和桥梁能够承受作用在它们上的力量而不倾覆。在计算机图形和动画中，centroid 的概念用于渲染和操作对象。在创建动画时，艺术家通常需要知道对象的centroid 以准确应用旋转和变换。这确保了运动看起来自然流畅，增强了整体视觉体验。此外，在机器人领域，centroid 有助于路径规划和导航。机器人必须计算其centroid 以有效地在环境中导航，避免障碍物，同时保持平衡。总之，centroid 是一个基本概念，超越了多个学科，从数学到工程和计算机图形。它代表形状的平均位置的能力使其成为理解和分析理论和实际问题的宝贵工具。通过掌握centroid 的概念，学生和专业人士都可以增强他们的问题解决能力，并将这些原理应用于不同领域。当我们继续探索几何学及其应用的广阔世界时，centroid 无疑将继续成为我们理解形状和结构的关键元素。
