叉积是计算几何中关于线段算法的核心。
In computational geometry, computing cross products is at the heart of line-segment methods.
多边形三角剖分是计算几何的一个几何基元。
Triangulate partitioning polygon is geometric primitives of computational geometric.
求平面点集的凸包是计算几何的一个基本算法。
Constructing convex hull of planar point set is a basic algorithm in computational geometry.
凸包问题是计算几何的基本问题之一，在许多领域均有应用。
Convex hull problem is one of the fundamental problems in computational geometry, and is used in many fields.
是的，凸包是计算几何的核心问题，也是一种基础性的几何结构。
Yes, convex hull is at the kernel of computational geometry and serves as a fundamental geometric structure.
用计算几何的方法重构大型涡轮叶片曲面，可提高叶片的物理学性能；
Improvement of the physics performance of blade is obtained by reconstructing the large size surface of turbine blade based on calculation geometry.
最后提出了笔者对新一代并行计算机系统上设计计算几何并行算法的看法。
Finally, some of the author's viewpoints on computational geometry on modern parallel computers are presented.
他是众多会议论文的作者和期刊出版物在计算几何的主题，算法和数据结构。
He is the author of numerous conference papers and journal publications on the topics of computational geometry, algorithms, and data structures.
本文从计算几何理论上探讨了三维空间孔的精确校核方法，简单、易行、可靠。
In this paper, we introduce an accurate verification method for 3 - dimension holes from the theory of calculation geometry. It is simple, efficient and practical.
应用数值分析和计算几何理论，根据船体首部线型特点，建立首柱轮廓线数学模型；
Applying theories of numerical analysis and higher geometry, the corresponding mathematical model of stem line is established according to different stems.
最小凸包是计算几何中得到广泛研究的问题之一，在地理信息系统中也有着广泛应用。
The minimum convex closure is one of the widely studied problems in science of computing geometry, as well as extensively applied in many fields of GIS.
求两条直线段的交点问题是计算机图形学、计算几何、几何造型等领域的最基本问题之一。
Finding intersection between two line segments is a fundamental problem in computer graphics, computer geometry, geometry modeling, etc.
应用计算几何技术来决定优化的刀具定位和刀具姿态以实现环形刀的5轴自由曲面数控加工。
A method is presented by using computational geometry techniques to determine optimal tool position and orientation for 5-axis machining with torus end-mill.
运用圆弧条分法对尾矿库坝体稳定性进行了分析，建立了计算几何模型，计算出坝体安全性系数。
Using the circular arc Swedish method in tailing pond dam body stability analysis, the paper establishes the computation geometry model, calculates the dam body safety coefficient.
该文提出一种基于虚拟力的异构节点网络覆盖增强算法，该算法由计算几何和改进的虚拟力算法组成。
This paper presents a coverage-enhancing algorithm for non-isomorphic node network based on virtual force, which consists of computational geometry and improved virtual force algorithm.
平面点集的(欧几里德)最小权三角剖分问题是计算几何和算法领域的一个长期悬而未决的公开问题。
The (Euclidean) minimum weight triangulation (MWT) of a planar point set is a long-standing open problem in the fields of computational geometry and algorithm design.
本文利用螺旋面理论。结合计算几何知识，根据-麻花钻实物求出了加工该工件用的二次圆盘刀具截形。
On the basis of helicoid theory and computational geometry, the sectional contours of a sample twist drill were found for producing similar twis1t drills.
文章阐述了如何利用计算几何中的凸壳问题来处理测量中的DEM建模问题并推导出了TIN的建立方法。
The paper describes how to deal with the modelling of DEM in surveying by using the convex shell problem in the calculation geometry. The method of building TIN is derived.
取得的结果不仅可直接应用于避障路径规划算法的设计与实现，而且还可应用于计算几何中相关问题的求解。
The obtained results can not only been applied to the design and implementation of algorithm for avoidance obstacle path planning, but also been used to solve the problems of computational geometry.
空间数据库已广泛地应用于GIS,CAD、机器人、计算几何、计算机视觉、医学图像和多媒体系统等领域。
Spatial databases are being applied widely in many applications such as GIS, CAD, Robot, Computation, Geometry, Computer Vision, Physic Image and Multimedia System etc.
由于用几何方法表示图像，所以可以在任何时候在一定范围内计算几何描述，从而重新创建整个图像（或一部分图像）。
This algebraic notation of the image allows the entire image, or just a portion of the image, to be recreated at any time by evaluating the algebraic description over the range of interest.
通过扩展计算几何中“单调链”概念，提出了一种新的多边形扫描线填充算法，即基于单调链的扫描线多边形填充算法。
This paper extends the concept of monotone chain in computational geometry. It presents a new polygon scanning fill algorithm, polygon filling algorithm based on monotony chain.
利用计算几何的相关算法，把矢量数据的节点和边界线作为TIN网三角形的端点和边，对TIN网的局部进行三角化。
Utilizing related algorithms of computational geometry to triangulate TIN partly to make node and line as vertex and side of triangles.
提出了计算几何应用到时间序列挖掘的方法，实现了时间序列全序列匹配查询、模式查询、反向查询和异常检测，查询效率和准确性都有了比较大的提高。
By making use of the proximity query method in computational geometry, the whole matching query, pattern query, inverse query and outlier detection in time series are studied.
顾及地形特征线的散点域(约束数据域)三角剖分是建立高精度数字地面模型的基础，在GIS、地学分析、计算几何、多分辨率DTM等领域中有着广泛的应用。
The triangulation of constrained data set is widely used in Geographic Information System (GIS), geo-science, computational geometry, multi-resolution and high precision DTM, et al.
那将是个不错的练习，但是你看到了，用几何确实帮助你简化了计算。
It's a nice exercise. But see, here, using geometry helps you to actually streamline the calculation.
为了计算我们财富的期望效用，你可能也得关注期望回报、或几何期望回报、或标准差。
To calculate the expected utility of your wealth, you might also have to look at the expected return, or the geometric expected return, or the standard deviation.
就像做功一样，当计算这线积分时，通常不这样用几何方法来做。
Just as we do work, when we compute this line integral, usually we don't do it geometrically like this.
同时，数字计算机的处理能力、存储空间和带宽正呈几何级数增长。
Meanwhile, digital computers are increasing exponentially in processing power, memory storage and communications bandwidth.
同时，数字计算机的处理能力、存储空间和带宽正呈几何级数增长。
Meanwhile, digital computers are increasing exponentially in processing power, memory storage and communications bandwidth.
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