Geographic curve tortuosity measuring method based on information entropy

Abstract

The invention discloses a geographic curve tortuosity measuring method based on information entropy, and relates to the technical field of geographic information science. The method comprises the following steps: identifying bend units; determining bend nesting relations under different scales in an overlaying way, and building bend hierarchical trees; deleting invalid bends; and measuring the tortuosity of a geographic curve based on an information entropy theory. The tortuosity is described by comprehensive complexity in which size complexity and hierarchy complexity are combined, so that partial tortuosity and overall tortuosity of the curve are presented fully. Meanwhile, the nesting relations among different hierarchies of bends are considered comprehensively, so that the defects in the prior art are overcome; the tortuosity of the curve can be described well; the morphological and structural characteristics of the curve are reflected comprehensively; the influence of a curve length is small; and proximity relations and hierarchy characteristics among the bends are reflected fully by full utilization of the bend hierarchical trees. Moreover, the way of measuring the complexity based on the information entropy theory is easy to operate and implement, and has important significance to the research of geographic features.

Description

Technical field [0001] The invention relates to the field of geographic information science and technology, in particular to a method for measuring the tortuosity of a geographic curve based on information entropy. Background technique [0002] The tortuosity of a geographic curve is a description method of a geographic characteristic curve, which has an important relationship with the geographic features contained in the curve itself, and is of great significance to the study of geographic features, while the description of commonly used geographic feature description methods is very unclear, such as coastlines. The tortuosity descriptions of “extremely tortuous”, “more tortuous”, “relatively straight” and other vague concepts are used for judgment. The lack of clear judgment indicators is very unfavorable for determining the type of territorial sea baseline; therefore, quantitative expression of curve tortuosity is important Application value. [0003] At present, methods such a...

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Problems solved by technology

The tortuosity index is a quantitative index that can reflect the overall shape of line elements. The larger the tortuosity index value, the more complex the curve is. However, the tortuosity index cannot reflect the tortuosity of complex nested short curves, and cannot fully reflect the shape of the curve. ; The tortuosity measurement method based on angle measurement adds the angle values ​​between the straight line segments on the curve, and uses the addition result to represent the complexity of the curve, but this representation method is affected by the length of the curve; the fractal dimension method mainly Study the self-similarity of irregular things, but the fractal dimension value is only a statistic, which can only reflect the overall situation of the curve, and cannot correspond to the specific bending unit of the curve. The fractal dimension is only a characteristic of the curve, and cannot be obtained through the fractal dimension Other structural features of the curve cannot fully reflect the curve shape and structural features of the curves of various lengths

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