Acta Geodaetica et Cartographica Sinica ›› 2016, Vol. 45 ›› Issue (2): 224-232.doi: 10.11947/j.AGCS.2016.20140633

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Establishment of the Comprehensive Shape Similarity Model for Complex Polygon Entity by Using Bending Mutilevel Chord Complex Function

CHEN Zhanlong1 2, QIN Mengjiao1, WU Liang1, XIE Zhong1   

  1. 1. Department of Information Engineering, China University of Geosciences, Wuhan 430074, China;
    2. State Key Laboratory of Geography Information Engineering, Xi'an 710054, China
  • Received:2014-12-09 Revised:2015-10-13 Online:2016-02-20 Published:2016-02-29
  • Supported by:
    The National Natural Science Foundation of China (No. 41401443);The National Key Technology Research and Development Program of the Ministry of Science and Technology of China (No. 2011BAH06B04);Open Research Fund of State Key Laboratory of Geography Information Engineering (No.SKLGIE2013-Z-4-1);Open Research Fund of State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing (No. 13I02);Research Funds for the Central Universities Basic Special Projects (No.CUGL130260)

Abstract: A method about shape similarity measurement of complex holed objects is proposed in this paper. The method extracts features including centroid distance, multilevel chord length, bending degree and concavity-convexity of a geometric object, to construct complex functions based on multilevel bending degree and radius. The complex functions are capable of describing geometry shape from entirety to part. The similarity between geometric objects can be measured by the shape descriptor which is based on the fast Fourier transform of the complex functions. Meanwhile, the matching degree of each scene of complex holed polygons can be got by scene completeness and shape similarity model. And using the feature of multi-level can accomplish the shape similarity measurement among complex geometric objects. Experimenting on geometric objects of different space complexity, the results match human's perceive and show that this method is simple with precision.

Key words: complex holed objects, completeness, multilevel bending degree, centroid distance

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