With the wide application of GPS technology,the application of the system of space rectangular coordinates is more and more extensive.Transformation of space rectangular coordinates into geodetic coordinates becomes a...With the wide application of GPS technology,the application of the system of space rectangular coordinates is more and more extensive.Transformation of space rectangular coordinates into geodetic coordinates becomes a very popular problem.In order to evaluate various kinds of algorithms existing for solving the problem,three evaluation criteria of the algorithm were put forward at first,that is,precision,calculation speed and algorithm regional suitability.After given some basic formula,three kinds of representative algorithms,classics iteration algorithm,ellipsoidal parameter transformation algorithm and rational polynomials approximation algorithm were introduced.Through a test program made by MATLAB,these three kinds of algorithms were compared.Some helpful conclusions were drawn.展开更多
In this paper, a transfer matrix and a three-dimensional dynamic response of a layered half-space to an arbitrary buried source are derived with the aid of a technique which combines the Laplace and two-dimensional Fo...In this paper, a transfer matrix and a three-dimensional dynamic response of a layered half-space to an arbitrary buried source are derived with the aid of a technique which combines the Laplace and two-dimensional Fourier transforms in a rectangular coordinate system. This method is clear in concept, and the corresponding formulas given in the paper are simple and convenient for marine seismic prospecting and other fields' applications. An example is presented and the calculated results are in good agreement with those of the finite element method (FEM).展开更多
The existing nearest neighbor query methods cannot directly perform the nearest neighbor query of specified geographical direction space.In order to compensate the shortcomings of the existing methods,a directional ne...The existing nearest neighbor query methods cannot directly perform the nearest neighbor query of specified geographical direction space.In order to compensate the shortcomings of the existing methods,a directional nearest neighbor query method in specific direction space based on Voronoi diagram is put forward.This work studies two cases,i.e.the query point is static and the query point moves with a constant velocity.Under the static condition,the corresponding pruning method and the pruning algorithm of the specified direction nearest neighbor(pruning_SDNN algorithm)are proposed by combining the plane right-angle coordinate system with the north-west direction,and then according to the smallest external rectangle of Voronoi polygon,the specific query is made and the direction nearest neighbor query based on Voronoi rectangle(VR-DNN) algorithm is given.In the case of moving with a constant velocity,first of all,the combination of plane right angle coordinate system,geographical direction and circle are used,the query range is determined and pruning methods and the pruning algorithm of the direction nearest neighbor based on decision circle(pruning_DDNN algorithm) are put forward.Then,according to the different position of motion trajectory and Voronoi diagram,a specific query through the nature of Voronoi diagram is given.At last,the direction nearest neighbor query based on Voronoi diagram and motion trajectory(VM-DNN) algorithm is put forward.The theoretical research and experiments show that the proposed algorithm can effectively deal with the problem of the nearest neighbor query for a specified geographical direction space.展开更多
文摘With the wide application of GPS technology,the application of the system of space rectangular coordinates is more and more extensive.Transformation of space rectangular coordinates into geodetic coordinates becomes a very popular problem.In order to evaluate various kinds of algorithms existing for solving the problem,three evaluation criteria of the algorithm were put forward at first,that is,precision,calculation speed and algorithm regional suitability.After given some basic formula,three kinds of representative algorithms,classics iteration algorithm,ellipsoidal parameter transformation algorithm and rational polynomials approximation algorithm were introduced.Through a test program made by MATLAB,these three kinds of algorithms were compared.Some helpful conclusions were drawn.
基金funded by the Natural Science Foundation Projeet of State(40174030)the Natural Science Foundation Project of Shandong Province(Y2000E05)
文摘In this paper, a transfer matrix and a three-dimensional dynamic response of a layered half-space to an arbitrary buried source are derived with the aid of a technique which combines the Laplace and two-dimensional Fourier transforms in a rectangular coordinate system. This method is clear in concept, and the corresponding formulas given in the paper are simple and convenient for marine seismic prospecting and other fields' applications. An example is presented and the calculated results are in good agreement with those of the finite element method (FEM).
基金Supported by the National Natural Science Foundation of China(No.61872105,62072136)the Natural Science Foundation of Heilongjiang Province(No.LH2020F047)+1 种基金the Scientific Research Foundation for Returned Scholars Abroad of Heilongjiang Province of China(No.LC2018030)the National Key R&D Program of China(No.2020YFB1710200)。
文摘The existing nearest neighbor query methods cannot directly perform the nearest neighbor query of specified geographical direction space.In order to compensate the shortcomings of the existing methods,a directional nearest neighbor query method in specific direction space based on Voronoi diagram is put forward.This work studies two cases,i.e.the query point is static and the query point moves with a constant velocity.Under the static condition,the corresponding pruning method and the pruning algorithm of the specified direction nearest neighbor(pruning_SDNN algorithm)are proposed by combining the plane right-angle coordinate system with the north-west direction,and then according to the smallest external rectangle of Voronoi polygon,the specific query is made and the direction nearest neighbor query based on Voronoi rectangle(VR-DNN) algorithm is given.In the case of moving with a constant velocity,first of all,the combination of plane right angle coordinate system,geographical direction and circle are used,the query range is determined and pruning methods and the pruning algorithm of the direction nearest neighbor based on decision circle(pruning_DDNN algorithm) are put forward.Then,according to the different position of motion trajectory and Voronoi diagram,a specific query through the nature of Voronoi diagram is given.At last,the direction nearest neighbor query based on Voronoi diagram and motion trajectory(VM-DNN) algorithm is put forward.The theoretical research and experiments show that the proposed algorithm can effectively deal with the problem of the nearest neighbor query for a specified geographical direction space.
