具有抵偿面的GPS基线向量网任意带高斯投影模型研究

通过GPS技术获取的空间基线向量和坐标信息是建立在WGS-84坐标系下的,无法直接应用于工程实际。因此使用GPS基线向量网必须将其从WGS-84坐标系转换到测区的平面坐标系统中,这就需要构造一个具有抵偿面的任意带高斯投影模型,来控制和减小边长投影变形。     

几种常用平面直角坐标系与国家统一3°带坐标系转换原理、方法

开展大比例尺测图时,当测区距离国家统一3°带中央子午线较远或测区高程较大时,国家统一3°带坐标系不能满足城市建设和工程建设的需要,需要建立长度变形值不大于2．5 cmk／m 的地方平面直角坐标系。地方平面直角坐标系是国家统一3°带平面直角坐标系的变换,本文研究几种常用地方平面直角坐标系与国家统一3°带坐标系相互转换的原理与方法。     

一类非线性投影方程解的扰动迭代算法及其收敛性

在Hilbert空间中讨论了一类非线性投影方程解的扰动迭代算法及其收敛性分析．     

Equilibrium Structures of Differentially Rotating and Tidally Distorted White Dwarf Models of Stars

In this paper we present a method for computing the equilibrium structures and various physical parameters of a primary component of the binary system assuming that the primary is more massive than the secondary and is rotating differentially according to the law of the w² = b₀ + b₁ × s² + b₂ × s⁴, w being the angular velocity of rotation of a fluid element distant s from the axis of rotation and b₀, b₁, b₂ suitably chosen numerical constants. This method utilizes the averaging approach of Kippenhahn and Thomas (1997) and the concept of Roche equipotentials in a manner earlier used by Mohan et al. (1997) to incorporate the effects of rotation and tidal distortions on the equilibrium structures of certain rotationally and tidally distorted stellar models. The use of the method has been illustrated by applying it to obtain the structures and some observable parameters of certain differentially rotating and tidally distorted binary systems whose primary component is assumed to be a white dwarf star.     

单基准线向量解算法在GPS变形监测中的应用

GPS测量目前在三峡库区变形监测应用较为广泛,但常规数据处理中,网平差这一步骤导致了因某点测量误差偏大而导致的整个监测网中其他监测点测量误差偏大,为解决这一问题,介绍了单基线向量解算法,并利用该方法对长屋滑坡2005年3月-2007年3月的监测点数据进行解算,提出了该方法能减少测量误差和内业工作量,并能运用于实际工程。     

Surface air temperature changes over the Tibetan Plateau: Historical evaluation and future projection based on CMIP6 models

With its amplification simultaneously emerging in cryospheric regions, especially in the Tibetan Plateau, global warming is undoubtedly occurring. In this study, we utilized 28 global climate models to assess model performance regarding surface air temperature over the Tibetan Plateau from 1961 to 2014, reported spatiotemporal variability in surface air temperature in the future under four scenarios (SSP1-2.6, SSP2-4.5, SSP3-7.0, and SSP5-8.5), and further quantified the timing of warming levels (1.5, 2, and 3 °C) in the region. The results show that the multimodel ensemble means depicted the spatiotemporal patterns of surface air temperature for the past decades well, although with differences across individual models. The projected surface air temperature, by 2099, would warm by 1.9, 3.2, 5.2, and 6.3 °C relative to the reference period (1981–2010), with increasing rates of 0.11, 0.31, 0.53, and 0.70 °C/decade under the SSP1-2.6, SSP2-4.5, SSP3-7.0, and SSP5-8.5 scenarios for the period 2015–2099, respectively. Compared with the preindustrial periods (1850–1900), the mean annual surface air temperature over the Tibetan Plateau has hit the 1.5 °C threshold and will break 2 °C in the next decade, but there is still a chance to limit the temperature below 3 °C in this century. Our study provides a new understanding of climate warming in high mountain areas and implies the urgent need to achieve carbon neutrality.     

The rapidly shrinking cryopshere in the past decade：an interpretation of cryospheric changes from IPCC WGI Sixth Assessment Report北大核心CSCD

The Working Group I report of the Sixth Assessment Report（AR6）of the Intergovernmental Panel on Climate Change（IPCC）was released in August 2021. Base on updated and expanding data, AR6 presented the improved assessment of past changes and processes of cryosphere. AR6 also predicted the future changes us⁃ ing the models in CMIP6. The components of cryosphere were rapid shrinking under climate warming in the last decade. There were decreasing trends in Arctic sea-ice area and thickness. Sea-ice loss was significant. The Greenland Ice Sheet, the Antarctic Ice Sheet and all glaciers lost more mass than in any other decade. Global warming over the last decades had led to widespread permafrost warming, active layer thickness increasing and subsea permafrost extent reducing. Snow cover extent in the Northern Hemisphere also decreased significantly. However, the variations of snow depth and snow water equivalent showed great spatial heterogeneity. The rapid shrinking of the cryosphere accelerated the global mean sea level rise. The impact of human activities on cryo⁃ sphere will become more significant in the future. The Arctic sea-ice area will decrease, and the Arctic Ocean will likely become practically sea ice-free. The Greenland Ice Sheet, the Antarctic Ice Sheet and glaciers will continue to lose mass throughout this century. Permafrost and Northern Hemisphere snow cover extent will con⁃ tinue to decrease as global climate continues to warm. In addition, there are still uncertainties in the prediction of cryosphere due to the absence of observations, the poor sensitivity of models to the components and processes of cryosphere, and the inexplicit represent of the mechanism of light-absorbing impurities. More attentions should be paid on these issues in the future. © 2022 Science Press (China). All rights reserved.     

自定义坐标系的建立及其坐标变换实现

大地基准(含数学椭球体)和投影方式的组合形成多种投影坐标系。地质勘查工作者常遇到坐标转换问题和建立自定义坐标问题,尤其是当我国北京54坐标系和西安80坐标系地质数据的GIS化时。GIS软件已经成为地质勘查的基本工具,而地质数据GIS化的第一步就是建立坐标系统。本文论述了如何使用Map Info和GeosoftOasis MontajTM两种常见地质勘查GIS软件建立自定义坐标,主要是如何在该两个软件中构建自定义大地基准(datum),并且给出了如何使用两个软件进行坐标变换的步骤。     

斜轴变形椭球高斯投影方法

针对东西跨度较大的线路,借助最小二乘法建立斜轴参考椭球,以减小高斯投影横坐标;通过坐标系转换理论,推导出测区在各坐标系下的空间直角坐标,进而确定测区相对于斜轴参考椭球上的大地坐标;利用椭球变换法建立斜轴变形椭球以减小因高程引起的投影变形。以某铁路线为例,可知"斜轴变形椭球高斯投影方法"可大大减小投影后横轴方向分量,避免高斯投影分带现象,同时有效减小高程及其引起的投影变形。该方法数学模型严谨、运算过程清晰,便于编制相关软件,可投入工程使用。     

基于调制方案的抗投影变换数字水印算法

针对传统数字水印算法无法抵抗投影变换攻击的问题,该文提出了一种对投影变换具有较高鲁棒性的数字水印算法。结合投影变换具有拓扑关系不变性以及在小范围内近似等特点,该文选择定位点和经纬线网格之间的包含关系作为水印载体,通过修改包含关系嵌入水印。实验证明该方法不仅对多种投影变换具有鲁棒性,而且能够抵抗裁剪、压缩等常见攻击,算法能够有效提高对矢量地图数据版权保护的能力。