高校“地图学”课程思政元素挖掘与课堂融入

高校专业课的课程思政建设是高校思想政治工作的基本载体。“地图学”是测绘工程、遥感科学与技术、地理信息科学、地理科学等本科专业的基础课,在测绘、地理等学科的课程思政建设中具有基础性地位。本文依据教学实践,归纳了地图学课程中与课程思政相结合的知识点,并介绍了在教学中如何巧妙、潜移默化地融入思政元素,在地图学课程教学过程中做到能力培养和素质提升共同进步。     

地图投影变换浅析

通过研究得出,将地球上各种地理事物与现象表示到平面上,需要采取一系列数学变换,才能使地面上的点与平面上的相应点建立起对应关系,从而才有可能反映出它们的位置、距离、方向、面积、形状及数量大小关系。地图之所以能在平面上反映出球面上事物与现象的空间准确位置和相互关系,就是由于它经过了地图投影的转换。通过研究地图投影变换问题,可以为基于离散网格的数据管理和建模应用提供很好的投影变换基础。     

铁路测量中坐标系的建立与转换

在铁路测量中,长度投影变形要求小于2．5cm／km。但是由于铁路为典型的线性工程,通常横跨多个投影带,因此采用国家标准3。带难以满足铁路测量精度要求,本文通过分析高斯投影长度变形,提出分段建立独立坐标系的方法,控制长度投影变形,满足精度要求,最后介绍利用GlobalMapper软件实现两个独立坐标系的转换。     

Direct georeferencing of airborne LiDAR data in national coordinates

The topographic mapping products of airborne light detection and ranging (LiDAR) are usually required in the national coordinates (i.e., using the national datum and a conformal map projection). Since the spatial scale of the national datum is usually slightly different from the World Geodetic System 1984 (WGS 84) datum, and the map projection frame is not Cartesian, the georeferencing process in the national coordinates is inevitably affected by various geometric distortions. In this paper, all the major direct georeferencing distortion factors in the national coordinates, including one 3D scale distortion (the datum scale factor distortion), one height distortion (the earth curvature distortion), two length distortions (the horizontal-to-geodesic length distortion and the geodesic-to-projected length distortion), and three angle distortions (the skew-normal distortion, the normal-section-to-geodesic distortion, and the arc-to-chord distortion) are identified and demonstrated in detail; and high-precision map projection correction formulas are provided for the direct georeferencing of the airborne LiDAR data. Given the high computational complexity of the high-precision map projection correction approach, some more approximate correction formulas are also derived for the practical calculations. The simulated experiments show that the magnitude of the datum scale distortion can reach several centimeters to decimeters for the low (e.g., 500 m) and high (e.g., 8000 m) flying heights, and therefore it always needs to be corrected. Our proposed practical map projection correction approach has better accuracy than Legat’s approach,¹ but it needs 25% more computational cost. As the correction accuracy of Legat’s approach can meet the requirements of airborne LiDAR data with low and medium flight height (up to 3000 m above ground), our practical correction approach is more suitable to the high-altitude aerial imagery. The residuals of our proposed high-precision map projection correction approach are trivial even for the high flight height of 8000 m. It can be used for the theoretical applications such as the accurate evaluation of different GPS/INS attitude transformation methods to the national coordinates.     

利用数值投影变换构建全球六边形离散格网

本文针对全球离散格网构建过程中从平面格网到球面格网的关键步骤进行讨论,提出了一种新型的评价球面离散格网几何属性最优化的目标函数,使用遗传算法优化,得到了球面上有限层次内最优化条件下的直接剖分格网。利用有限层次内最优化格网提供的控制点数据,结合数值投影变换理论,成功地构建了几何属性更加均匀的全球六边形离散格网系统。实验表明,相对于现有Snyder等积投影建立的全球格网,在格网单元的均匀度上更优;在运算效率方面,速度大约是Snyder投影的2.5-3倍。     

巷道地质编录三维空间数字化及投影变换算法

本文以提高矿山地、测、采计算机管理与辅助设计质量和效率为基本目标,根据矿山地测数据处理的一般流程,从巷道地质编录图件出发,建立基于井下测量数据的巷道地质编录三维空间数字化及投影变换算法;在此基础上,研制了一套符合矿山生产实际的地质编录智能分析系统,实现了巷道地质编录图件的数字化及自动成图。     

A GEOMETRIC ALGORITHM FOR TILTED-CAMERA PERSPECTIVE PROJECTION AND THE COMPARISON WITH EXTERNAL PERSPECTIVE PROJECTION

ABSTRACT

A geometric algorithm for Tilted-Camera Perspective (TCP) projection is proposed in this paper based on the principle of perspective projection. According to that, the difference between TCP projection and External Perspective (EXP) projecton is analyzed. It is put forward prerequisites making these two projections were compatible, and some examples are given.     

基于CGCS2000的平面坐标系的选取

本文研究了CGCS2000启用后选择城市平面坐标系的方法,提出了以大地高分布数据上投影变形符合限差的点数百分比最大为重要准则,用于选取城市平面坐标系的方法。并以N市为例,利用N市大地高分布数据进行验证,相比常规方法,该方法能更全面、客观地反映区域地形起伏等因素对长度变形产生的影响。     

Change in Precipitation over the Tibetan Plateau Projected by Weighted CMIP6 Models

Precipitation over the Tibetan Plateau (TP) is important to local and downstream ecosystems. Based on a weighting method considering model skill and independence, changes in the TP precipitation for near-term (2021–40), mid-term (2041–60) and long-term (2081–2100) under shared socio-economic pathways (SSP1-1.9, SSP1-2.6, SSP2-4.5, SSSP3-7.0, SSP5-8.5) are projected with 27 models from the latest Sixth Phase of the Couple Model Intercomparison Project. The annual mean precipitation is projected to increase by 7.4%–21.6% under five SSPs with a stronger change in the northern TP by the end of the 21st century relative to the present climatology. Changes in the TP precipitation at seasonal scales show a similar moistening trend to that of annual mean precipitation, except for the drying trend in winter precipitation along the southern edges of the TP. Weighting generally suggests a slightly stronger increase in TP precipitation with reduced model uncertainty compared to equally-weighted projections. The effect of weighting exhibits spatial and seasonal differences. Seasonally, weighting leads to a prevailing enhancement of increase in spring precipitation over the TP. Spatially, the influence of weighting is more remarkable over the northwestern TP regarding the annual, summer and autumn precipitation. Differences between weighted and original MMEs can give us more confidence in a stronger increase in precipitation over the TP, especially for the season of spring and the region of the northwestern TP, which requires additional attention in decision making.     

基于地磁参数和子午线收敛角计算的井斜方位角校正方法

井斜方位角的校正对于定向井轨迹控制、中靶分析有非常重要的意义。通过分析大地坐标与高斯克吕格投影坐标之间的关系,根据地磁场球谐函数模型,地磁参数和子午线收敛角的计算模型,提出了实现方式和求解步骤,并编制了相应的计算软件。通过实例计算与分析,表明地磁参数和子午线收敛角的准确计算对于定向井轨迹控制的重要性。