In the spatial domain,canonical projection of the Wigner distribution function of the associated pupil function to show the insensitivity of the point spread function to the defocus-related aberrations is mainly used,and in the frequency domain,it is shown that the optical transfer function of such a system is also insens.

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In the spatial domain, canonical projection of the Wigner distribution function of the associated pupil function to show the insensitivity of the system's point spread function to the defocus-related aberrations is mainly used, and in the frequency domain, it is shown that the optical transfer function of such a system is also insensitive to misfocus through a geometrical description of the so-called Cornu spiral.

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So the conformal transformation model for the image rectification is taken as a beginning to deduce the relation between the accuracy of an arbitrary point and the accuracy of control points, besides, according to such relation, the inverse distance power method is used to give the spatial interpolation for the image rectification accuracy, which also achieved the interpolation value in x or y directions.

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Through the segmentation of the spatial box bounded by point cloud, efficient extraction of boundary information is implemented.

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Expansivity, contraction, rebirth and vanishment events for management of land use data. And it further designed an object-superposition data updating model based on the land use feature of point, line and polygon,which would take the advantage of the GIS overlay function to effectly implement of updating spatial and attribute data .

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It is the first important step in video analysis and will directly affects the effectiveness of indexing Shot boundary detection is one of our major research interests and we will tackle the following existing problems the ambiguity between gradual change and camera motion, the discontinuity during gradual change, false detection caused by illumination variation and flashlight, automatic threshold selection Firstly, we discuss shot boundary detection in non-compressed domain In chapter 2, we compare some of the commonly used detection methods which are based on frame difference and point out that single feature will not generate good results As a conclusion, we use fuzzy logic to combine multiple features Presently, most frame difference based shot boundary detection algorithms rely on threshold and hence the selection of such thresholds will greatly affect the performance of boundary detection We propose a membership function to define frame difference and calculate the membership with self adaptation according to the statistic distribution of frame differences to satisfy different type of video clips Experiments show that the proposed fuzzy shot boundary detection algorithm can be used with different video types and has a high detection precision and recall In chapter 3, we discuss model-based shot boundary detection algorithms regarding chromatic and spatial editing effects such as fade-in, fade-out, dissolve and wipe Various parameters are proposed to better describe the characteristics of each editing type.

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In order to make a better study of the collection and utilization of rainfall so as to achieve the spatial and temporal redistribution of precipitation, the experiment adopted the method of fixed point observation and observed the outcomes by different surface processing techniques.

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A third order ENO finite volume method for hyperbolic conservation laws on unstructured triangular mesh is introduced.In order to obtain the third order accuracy on spatial discretization,a weighted quadratic interpolation is constructed on every triangular mesh.Two point Gauss quadrature formula is also used on each edge of every triangular mesh and the third order TVD Runge-Kutta method is used for time discretization.The numerical order of convergence and the numerical result of a mesh 3 wind tunnel with one step are given.

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Analyzes the basic features of a special GIS applications and its basic demand, points out the localization of integrated GIS platforms and its inelasticity, and presents a spatial data model based on constructed point set storage to satisfy with the demand of the special GIS application.

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