基于线段的基本线/线拓扑关系计算     

倪建华  周晓光  胡克新 《测绘软科学研究》2009,(5):39-43

空间拓扑关系是空间数据建模、空间查询、分析、推理、制图综合、数据质量控制、数据更新等的基础。目前空间拓扑关系研究的主要成果仍然集中在拓扑关系的描述方面,在计算方面的阐述都非常薄弱,不足以指导系统开发人员编程实现。本文研究了IR2中两个简单线目标间拓扑关系的计算方法,重点分析了线/线拓扑关系计算的特点,提出了一种基于线段的线/线拓扑关系计算方法,并用VC＋＋采用底层开发模式实现了基本线/线拓扑关系的计算。  相似文献   

拓扑线性空间中存在非连续线性算子的充要条件     

张武梅 《成都信息工程学院学报》2009,24(3)

在拓扑线性空间中存在非连续线性泛函的基础上,给出了拓扑线性空间中存在非连续线性算子的充要条件,即拓扑线性空间中存在不闭的线性真子空间.  相似文献   

Stability Regions and Quasi-Periodic Motion in the Vicinity of Triangular Equilibrium Points     

O. Ragos  K. E. Papadakis  C. G. Zagouras 《Celestial Mechanics and Dynamical Astronomy》1997,67(4):251-274

The regions of quasi-periodic motion around non-symmetric periodic orbits in the vicinity of the triangular equilibrium points are studied numerically. First, for a value of the mass parameter less than Routh's critical value, the stability regions determined by quasi-periodic motion are examined around the existing families of short (L^s ₄) and long (L^l ₄) period solutions. Then, for two values of μ greater than the Routh value, the unified family L^sl ₄, to which, in these cases, L^s ₄ and L^l ₄ merge, is considered. It is found that such regions surround in general the linearly stable segments of the corresponding families and become smaller as the mass ratio increases. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

Invariant rotational curves in Sitnikov's Problem     

J. Martínez Alfaro  Cristina Chiralt 《Celestial Mechanics and Dynamical Astronomy》1993,55(4):351-367

The Sitnikov's Problem is a Restricted Three-Body Problem of Celestial Mechanics depending on a parameter, the eccentricity,e. The Hamiltonian,H(z, v, t, e), does not depend ont ife=0 and we have an integrable system; ife is small the KAM Theory proves the existence of invariant rotational curves, IRC. For larger eccentricities, we show that there exist two complementary sequences of intervals of values ofe that accumulate to the maximum admissible value of the eccentricity, 1, and such that, for one of the sequences IRC around a fixed point persist. Moreover, they shrink to the planez=0 ase tends to 1.  相似文献   

变分原理和非线性Lyapunov稳定性判据     

罗德海 《成都信息工程学院学报》1993,(4)

本文通过构造斜压大气运动的原始方程模式和两层模式的Hamilton守恒量及积分不变的Casimir泛函,并使用变分法,得到了斜压大气运动的非线性Lyapunov稳定性判据,这个判据是Arnold-Blumen-Zeng判据的推广。  相似文献   

Continuous reactions with amphibole, garnet and plagioclase     

A. J. ZINGG 《Journal of Metamorphic Geology》1995,13(3):431-443

Abstract End-member, continuous and degenerate reactions are derived for the multisystem with the six components Na₂O, CaO, (Mg/Fe)O, Al₂O₃, SiO₂, H₂O among the phases plagioclase_ss, garnet_ss, amphibole_ss, cpx, opx, olivine, spinel, quartz and an aqueous fluid. The chemography of this system is degenerate due to the co-linearity 2Opx = Ol + Qtz. This co-linearity has its implications both on reaction space and phase equilibria. From a total of 28 reaction systems, reaction space is derived for nine subsystems (phases in parentheses are absent): Case A₁: (Cpx,Ol) (Cpx,Opx) and (Cpx,Qtz), Case A₂: (Spl,Ol) (Spl,Opx) and (Spl,Qtz), Case B: (Ol,Opx) (Ol,Qtz) and (Opx,Qtz). In the absence of either cpx or spl (case A), three reactions form an invariant point, either [Cpx] or [Spl], where the co-linear phases olivine, opx and quartz coexist on the transformation line 2Opx = Ol + Qtz. Changing mineral compositions force invariant points to move along the line with the different reaction curves changing their relative position according to Schreinemakers’rules. Zero contours, i.e. the location where (a) phase(s) disappear(s) in reaction space correspond to singular points in phase diagrams. Two types are distinguished; singular points of indispensable and of substitutable phases. In the first case the phase disappears from the entire bundle while in the second it disappears from a single reaction. In the specific case where the substitutable phases are also the co-linear ones, two of the three co-linear phases disappear simultaneously. Two of the three reaction curves coincide. In the system including Cpx and Spl (Case B) three reactions, (Ol,Opx) (Ol,Qtz) and (Opx,Qtz), oppose three invariant points, [Ol], [Opx] and [Qtz]. Invariant points no longer move along the line 2Opx = Ol + Qtz. The coincidence of the zero contours of all three co-linear phases in reaction space-the result of the chemographic degeneracy-causes the respective singular points to coincide in the phase diagrams. This is the location where curves must be rearranged in a bundle to conform Schreinemakers’rules. The reaction Grs₁Prp₂= 2 Ol + An is fourth order degenerate and part of all nine subsystems (cases A and B). It can be used to relate the different phase diagrams to one another.  相似文献   

在空间抽象中线状目标间拓扑关系的等价转换   总被引：2，自引：0，他引：2  

郭庆胜  蔡永香  杜晓初 《测绘科学》2006,31(5):42-44

拓扑关系在抽象过程中的等价转换是维护多尺度空间关系一致性的基础。本文以空间拓扑关系组合推理所描述的线状目标之间的拓扑关系为例,采用成分抽象的等价转换方法,研究了线之间拓扑关系等价转换的原则,并绘出了相应的等价转换图。  相似文献   

球面四元三角网的复杂拓扑关系计算     

侯妙乐  邢华桥  赵学胜  陈军 《武汉大学学报(信息科学版)》2012,37(4):468-471,481

针对已有球面四元三角网拓扑关系计算方法不能处理带空洞复杂目标的情况,提出了基于公共三角格网来计算球面四元三角网复杂拓扑关系,该方法能准确判断出带空洞复杂目标的拓扑关系,为全球空间分析和应用提供了新的思路。  相似文献   

基于二元关系的GIS实体拓扑关系的粗糙表达     

廖伟华 《地理空间信息》2012,(1):97-98,106,4

利用二元关系和粗糙集的一些性质来研究GIS实体之间关系,发现在基于二元关系的广义近似空间下GIS实体的前继领域、后继领域算子、上、下继领域包含了比它自身更广的一个集合定义。同样基于粗糙集,我们发现二元关系GIS实体的上、下近似比Pawlark粗糙集的定义更广泛。在二元关系的广义近似空间下,一个GIS单点集的上近似等于它的前继领域,同样等于它后继领域的逆。  相似文献   

潜在连接点集下拓扑推进三维建模算法研究     

李国柱  方源敏  陈杰  倪曙 《地理空间信息》2012,10(6):50-52,4

通过三维激光扫描仪可以获取到表示空间对象的点云数据。通过设置仪器的采样间隔可以获取到表示对象不同精密程度的点集。但是由于离散点之间缺乏相应的拓扑关系,限制了以点为基本图元的模型的应用。以空间离散特征点集为研究对象,研究了一种三维建模算法。算法基于距离较近的点之间比距离较远的点之间存在拓扑连接的可能性更大的前提,对点集进行预处理,然后在此基础上进行快速建模,最终获取到以三角形为基本面片的格网模型。所建立的模型易于进行各项空间分析和操作。该算法也能够有效地应用于更为复杂的建模任务中,以达到一体化建模的目的。  相似文献