computational geometry meaning in Chinese
第三十三章 计算几何学
计算几何学
Examples
- Topics covered include : sorting ; search trees , heaps , and hashing ; divide - and - conquer ; dynamic programming ; amortized analysis ; graph algorithms ; shortest paths ; network flow ; computational geometry ; number - theoretic algorithms ; polynomial and matrix calculations ; caching ; and parallel computing
课程主题包含了：排序、搜寻树、堆积及杂凑；各个击破法、动态规划、摊提分析、图论演算法、最短路径、网路流量、计算几何、数论演算法；多项式及矩阵的运算；快取及平行计算。 - The paper applies algebraic geometry , computational geometry , approximation theory to study the following problems : the nother type theory and the riemann - roch type theory of the piecewise algebraic curve ; the number of real intersection points of piecewise algebraic curves ; the real piecewise algebraic variety and the b - net resultant of polynomials
本文应用代数几何，计算几何，函数逼近论等学科的基本理论，分别就分片代数曲线的n ( ? ) ther型与riemann - roch型定理；分片代数曲线的实交点数；实分片代数簇以及多项式的b -网结式进行研究。 - Topics covered include : sorting ; search trees , heaps , and hashing ; divide - and - conquer ; dynamic programming ; amortized analysis ; graph algorithms ; shortest paths ; network flow ; computational geometry ; number - theoretic algorithms ; polynomial and matrix calculations ; caching ; and parallel computing
课程主题包含了：排序、搜寻树、堆积及散列；各个击破法、动态规划、摊提分析、图论算法、最短路径、网络流量、计算几何、数论算法；多项式及矩阵的运算；高速缓存技术及并行运算。 - Scientific computation visualization interactive virtual reality computer dynamic simulation etc . , to study thoroughly and carefully on critical technologies such as mixed - language programming simplification of scene models displaying realistic image and animation of 3d scene models and so on in this dissertation , the methods to build scene models were studied and applied to develop a dynamic simulation system of 3d railway scene based on this idea , the major study contents and results can be summarized as follows : 1 ) mixed - language programming can complement each other between different programming languages and the method has a general significance and can become popular many computation models including development of dtm optimum of dtm and reorganization of dtm were developed with fortran language in order to use the ripe codes , the dissertation succeeded in integrating the developed fortran codes to the visual c + + environment and achieving the course of mixed - language programming 2 ) the methods to build scene models for 3d location design were discussed in the dissertation and the development and animation of scene models had been realized by applying synthetically those technologies such as computer graphic computational geometry and geometrical modeling and computer dynamic simulation etc , and adopting opengl 3d graph library then achievement was got by using the technology of 3d visualization to livingly express design results 3 ) combing with the concerned study and development projects , adopting vc + + as development tools and in the light of those theories and algorithms stated in this dissertation , a software , which could build scene models with realism for 3d railway location design , in the name of " the dynamic simulation system of 3d scene of railway " was developed . , the correctness was proved by using the software to build the 3d scene models and achieve their animation of suining - chongqing railway and yunnan - xizang railway
本文综合利用计算机图形学、科学计算可视化、人机交互、虚拟现实、计算机动态仿真等理论和技术，针对混合语言编程、真实感图形绘制以及三维景观模型的动画驱动等关键技术，进行了深入细致的研究，从而探讨了建立逼真景观模型的方法，并基于本文提出的方法研制了一个铁路线路三维景观动态仿真系统。基于这一思想，本文主要研究内容及研究成果如下： 1 )混合语言编程可以实现语言优势互补，具有普遍意义。针对数字地面模型的建立、优化、重组等计算模块是成熟的fortran程序代码，本文成功实现了vc + +与fortran语言的混编； 2 )紧紧围绕三维选线设计中景观模型的建立方法展开研究，综合利用计算机图形学、计算几何及几何造型学以及计算机仿真技术，采用opengl三维图形库，实现了景观模型的建立以及动画驱动，使得三维可视化技术成功应用于选线设计成果的三维直观表达； 3 )结合有关科研课题，利用vc + +开发工具，以本文所述的理论和算法为基础，研制和开发了一个建立三维选线设计逼真景观模型的系统软件- - “铁路线路三维景观动态仿真系统” 。 - The piecewise algebraic curve and the piecewise algebraic variety , as the set of zeros of a bivariate spline function and the set of all common zeros of multivariate splines respectively , are new and important concepts in algebraic geometry and computational geometry . it is obvious that the piecewise algebraic curve ( variety ) is a kind of generalization of the classical algebraic curve ( variety respectively )
分片代数曲线作为二元样条函数的零点集合，分片代数簇作为一些多元样条函数的公共零点集合，它们是代数几何与计算几何中一种新的重要概念，显然也是经典代数曲线与代数簇的推广。
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