Solution of the propagation of the waves in open channels by the transfer matrix method

Many problems in mechanics can be solved by the use of the transfer matrix method. The use of this method in hydraulics engineering is not widespread and only limited studies are available. In this study, linearized St. Venant equations were used and the use of transfer matrix in ocean engineering was investigated for long waves in open channels, and numerical application was carried out. The results obtained through the transfer matrix method, which is quite easy to use, program and comprehend, showed similar results obtained from the characteristics method and finite differences method.     

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数码相机检验中出现的问题及解决方法

数码相机的检验是近景摄影测量中经常碰到的问题。最常用的主要还是基于共线方程的后方交会法。但由于普通数码相机存在较大的镜头畸变,内方位元素也未知,所以仅用单片进行后方交会求取有关参数时,法方程可能会出现病态现象,从而影响最后的检验结果。文中对此现象进行了讨论,并给出了一些实用的解决方法。     

2003-2017年北京市地表热力景观时空分异特征及演变规律

利用2003-2017年MODIS地表温度数据,分别从数量、形状和结构角度揭示北京市不同季相和昼夜间地表热力景观时空分异特征,并进一步通过热力等级变化图谱及质心迁移轨迹揭示城市热力景观空间演变规律,探究热力景观等级转换生态过程。结论如下：① 城市地表热力景观季节和昼夜空间特征差异显著;② 中温区在城市热环境中占主导地位。白天中温区是最不稳定的热力景观等级;夜间次低温区和次高温区不稳定性增加;③ 地表热力景观等级变化以稳定型占主,反复变化型和前期变化型次之。地表热力景观等级通常呈现逐级递增或递减规律,山区呈现逐级降温趋势,北部城郊—山地交错地带表现出次低温和中温的反复转向,南部地区有一定的升温趋势;④ 2003-2017年高温区面积增大且质心向城市中心集中,低温区质心向城市外围扩散。生态涵养发展区对北京市地表热力景观质心迁移贡献率最高。热力景观时空分异特征及演变规律可为有效缓解城市热岛效应提供管理决策支持。     

高质量增长背景下海洋经济发展的时空协调模式研究——基于环渤海地区地级市的实证

海洋经济协调发展是科学评价区域海洋经济发展质量的重要依据。遵循城市与海洋经济协同的发展理念,构建环渤海城市海洋经济发展时空协调度评价体系,运用复杂系统时空协调度评价模型,计算并分析2008~2016年环渤海城市海洋经济发展时空协调度,通过SaTScan软件分析其时空聚类区。研究结果显示：①海洋经济各系统发展水平中,社会系统呈大幅度分散上升趋势,经济系统、生态系统与综合系统呈小幅度集中与分散交替上升趋势;协调等级时序变化稳定型城市主要是大连、潍坊、青岛、烟台、威海。②协调度时空聚类区既有空间分异又有重叠交集,社会系统、综合系统、经济系统聚类区依次相互覆盖,生态系统与其它三系统既有重叠区也有独立区。③聚类区内部,社会系统最为稳定,综合系统、经济系统次之,生态系统最为薄弱。     

等面积纬度和等量纬度间的直接变换

为了便于实现等面积方位投影与椭球等角圆柱或圆锥投影之间的变换,借助具有强大符号运算功能的计算机代数系统Mathematica,推导出了等面积纬度和等量纬度之间变换的直接表达式,进一步将表达式改进为适合电算的形式,并将其系数统一表示为关于椭球偏心率e和椭球第三扁率n的幂级数形式。通过算例分析表明:基于第三扁率n的幂级数表达式具有更紧凑的形式和更好的收敛性,且导出公式的计算误差分别小于10^-8和10^-8″,可以满足大地测量和地图制图计算精度要求。     

常用海图投影平面上大椭圆航线的表象与曲率分析

利用空间矢量方法推导出了椭球面上只与起止点地理坐标有关的大椭圆航线方程,代入4种常用海图投影的正解公式,得到不同投影平面上的大椭圆参数方程;利用上述参数方程进而推导出了不同投影面上大椭圆航线的曲率与曲率半径公式。选取伦敦到纽约的大椭圆航线为例,通过绘制不同投影面上的大椭圆航线并分析其曲率、曲率半径变化曲线可知,大椭圆航线在日晷投影上的表象为曲率处处为0的直线,而在其他投影面上的表象为曲率较小但不断变化的曲线。利用推导的曲率半径公式可以计算各类大椭圆航线上任意位置的“代曲直距”,方便在不同比例尺的海图上对大椭圆航线进行量测和绘制,提高作图效率。     

River centerline extraction using the multiple direction integration algorithm for mixed and pure water pixels

The river centerline is a basic hydrological characteristic. Most prior studies have used remote sensing data to extract the river centerline from the open water region in a pure water pixel region. Extracting this type of river is relatively easy. However, extracting the centerline of a micro-river, which is mainly composed of mixed water pixels, is challenging. This paper presents a novel method, called the Multiple Direction Integration Algorithm (MDIA), to extract the river centerline using an image-enhancing method combined with river morphology. MDIA can be applied to regions mainly composed of pure water pixels, as well as to regions consisting of mixed water pixels in the index image. The method first calculates the normalized difference vegetation index (NDVI) and enhances the river linear structure using a Hessian matrix. Second, a small window is constructed as a circular structural element. In the window region, the local threshold is automatically obtained using water-oriented clustering segmentation and prior river knowledge to judge the pixel type. After completing the river centerline extraction in the current window, the next detecting window is generated to continue judgment. The structural element automatically executes river centerline judgment until the entire river centerline is extracted. The Landsat 8 images of six regions with different geomorphologies were chosen to analyze the method’s performance. The test sites include high mountain region, low mountain region, plains region with farmland and a residential region. The experimental results show that the optimal threshold of the processing results ranged from 0.2 to 0.3. In this range, the user’s accuracy is 0.813 to 0.997, and the producer’s accuracy is 0.981 to 1. The MDIA effectively and correctly extracts the river network in mixed-pixel regions. The presented method provides an effective algorithm for river centerline extraction that can be used to expand and update river datasets and provide reliable river centerline data for relevant hydrology studies.     

利用椭球变换建立独立坐标系的方法

详细阐述了8种利用椭球变换建立独立坐标系的方法,推导了独立坐标系高程面与椭球面之间的相互关系,进而建立了椭球变换模型,减少了高程归化变形;并通过计算实例对其投影变形值进行分析,以探究不同方法间的特点与差异,得出了一些有益的结论。     

基于投影变换的线阵旋转扫描相机标定方法

针对线阵旋转扫描相机标定数据难以获取及模型解算不稳定的问题,提出了一种基于投影变换的线阵旋转扫描相机标定方法。首先构建了一种新的线阵旋转扫描相机成像模型,该模型可以根据相机旋转平台参数、线阵旋转扫描相机成像平面与其切平面的位置关系将旋转扫描图像投影为框幅式图像;然后根据构建出的成像模型,采用直接线性变换法和非线性优化方法进行相机标定和参数优化。试验结果表明,此方法简单易行,具有较高的精度。