Efficient computation of local geometric moments

  • Authors:
  • J. Martinez;F. Thomas

  • Affiliations:
  • Comput. Vision Center, Barcelona;-

  • Venue:
  • IEEE Transactions on Image Processing
  • Year:
  • 2002

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Abstract

Local moments have attracted attention as local features in applications such as edge detection and texture segmentation. The main reason for this is that they are inherently integral-based features, so that their use reduces the effect of uncorrelated noise. The computation of local moments, when viewed as a neighborhood operation, can be interpreted as a convolution of the image with a set of masks. Nevertheless, moments computed inside overlapping windows are not independent and convolution does not take this fact into account. By introducing a matrix formulation and the concept of accumulation moments, this paper presents an algorithm which is computationally much more efficient than convolving and yet as simple.