Directional hierarchical mesh element interpolation method

Abstract

The invention discloses a directional hierarchical mesh element interpolation method. The method comprises the following steps: reading river data and known point data; classifying the river data; defining a category weight, a flow direction weight and upstream and downstream weights; rasterizing the river to obtain a grid river and a grid river category; constructing a directed network; associating the known point ID to the river name; calculating a spatialized category weight, a spatialized flow direction weight and a spatialized upstream and downstream weight corresponding to the known point; and performing interpolation calculation according to the known point values and the corresponding spatialized category weights, the spatialized flow direction weights and the spatialized upstream and downstream weights. According to the method, the defect that element boundaries, different levels and directions are not considered when a general interpolation method is used for interpolation on networkable elements is overcome.

Description

technical field [0001] The invention relates to the technical field of spatial analysis, and more specifically relates to a directional and layered mesh element interpolation method. Background technique [0002] Interpolation is one of the commonly used methods in spatial analysis. It is a process of inferring unknown points associated with known points through known point data. It is mainly used to deal with problems such as data loss and data spatialization, and has a wide range of applications in the fields of environmental assessment, climate forecasting, geography, digital image processing, and mechanical manufacturing. In spatial analysis, common usage methods include filling missing data in sequences, interpolating spatially distributed point data into continuous area data, removing noise from image or image data, etc. [0003] Common interpolation, such as inverse distance weighting method, kernel function method, etc., calculates the weight by substituting the dis...

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Problems solved by technology

However, common interpolation methods tend to pay less attention to the limitations of spatial elements. For example, when the element is a network structure, the change of the attribute is usually along the network path, rather than along the radial direction of the outward expansion of the known point. Some In the research, the path direction is approximated by connecting the starting point and the ending point, but this will cause a relatively large error when the curvature of the element is large; at the same time, the network often has a different hierarchical structure, such as the capacity of a certain element of the first-level network There is an order of magnitude difference with the capacity of a certain element in the secondary network. If the interpolation calculation is performed without distinction, the value of the primary network area will far exceed the limit; moreover, networks such as rivers have directionality. In some processes, Also learn to consider the weight difference between upstream and downstream or upstream and downstream

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