The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
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Articles | Volume XLII-2/W4
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLII-2/W4, 19–25, 2017
https://doi.org/10.5194/isprs-archives-XLII-2-W4-19-2017
Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci., XLII-2/W4, 19–25, 2017
https://doi.org/10.5194/isprs-archives-XLII-2-W4-19-2017

  10 May 2017

10 May 2017

MORPHOLOGICAL MOMENTS OF BINARY IMAGES

N. Lomov and S. Sidyakin N. Lomov and S. Sidyakin
  • State Research Institute of Aviation Systems Russia, 125319, Moscow, Viktorenko street, 7., Russia

Keywords: Morphological Moments, Disc Cover, Medial Representation, Continuous Skeleton, Radial Function, Bicircle

Abstract. The concept of morphological moments of binary images is introduced. Morphological moments can be used as a shape descriptor combining an integral width description of an object with a description of its spatial distribution. The relationship between the proposed descriptor and the disc cover of the figure is discussed and an exact analytical method for descriptor calculation is proposed within the continuous morphology framework. The approach is based on the approximation of the shape by a polygonal figure and the extraction of its medial representation in the form of the continuous skeleton and the radial function. The proposed method for calculation of morphological moments achieves high accuracy and it is computationally efficient. Experimentations have been conducted. Obtained results indicate that the morphological moments are a more informative and rich shape descriptor than the area of the disc cover. Application of morphological moments to the font recognition task improves the recognition quality.