Multi-fractal quantification method and system for terrain complexity in three-dimensional scene

Abstract

The invention provides a multi-fractal quantification method and system for terrain complexity in a three-dimensional scene. The method comprises the steps: obtaining slope data: building scatter points on the surface of a three-dimensional terrain of a selected region, obtaining elevation values, and obtaining the slope value of each scatter point according to the relation between the scatter points and the elevation values of adjacent points; carrying out multi-fractal calculation, namely respectively and correspondingly adopting a box-dimension multi-fractal calculation method for a plurality of order moment q values, dividing the established scatter point region into sub-regions with different scales, calculating gradient distribution probability measurement and score distribution functions in each sub-region, checking whether the multi-fractal characteristics of the scatter area are obvious or not by judging whether the logarithm of the fractal function and the logarithm of the scale are linearly related or not, and extracting and reserving corresponding singular indexes and fractal dimensions if the multi-fractal characteristics are obvious; drawing a multi-fractal spectrum according to the obtained multiple groups of singular indexes and fractal dimensions, extracting multi-fractal characteristic parameters through a multi-fractal spectrum image, and supporting quantitative expression of terrain complexity.

Description

technical field [0001] The invention belongs to the field of three-dimensional geographic information science, and in particular relates to a multifractal quantification method and system for terrain complexity in a three-dimensional scene. Background technique [0002] Geographic Information Science (GIS), also known as geographic information system, is a science that collects, stores, calculates, and visualizes various geographic-related data and information on the earth. In the past, due to the limitations of various technologies, traditional GIS usually adopts a two-dimensional plane display method at the visualization level, resulting in some information contained in three-dimensional space being unable to be intuitively presented to people. With the development of computer software and hardware and the improvement of users' requirements for visual perception, 3D geographic information system has emerged as the times require. Three-dimensional visual experience, theref...

AI Technical Summary

Problems solved by technology

[0008] ③The part and whole of geographical things described by traditional mathematics are usually independent and often irrelevant, so they do not pay attention to the relationship between the part and the whole

[0009] ④ If the geographical things described by traditional mathematics are very complicated, then the implicit mathematical rules must be very cumbersome. However, for the objects described by fractal theory, they usually appear to be more complicated, but the laws behind them are very simple

[0011] However, due to the complex and changeable factors affecting the terrain complexity in 3D scenes, the harsh application conditions of some multifractal methods, and the difficulty in applying image information such as multifractal spectrum to the quantitative expression of things, multifractal Difficult to apply in the field of quantitative analysis of terrain complexity in 3D scenes

Images