Efficient Computation of 3-D Moments in Terms of an Object’s Partition

  • Juan Humberto Sossa Azuela
  • Francisco Cuevas de la Rosa
  • Héctor Benitez
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2396)


The method here proposed is based on the idea that the object of interest is first decomposed in a set of cubes under d. This decomposition is known to form a partition. The required moments are computed as a sum of the moments of the partition. The moments of each cube can be computed in terms of a set of very simple expressions using the center of the cube and its radio. The method provides integral accuracy by applying the exact definition of moments over each cube of the partition. One interesting feature of our proposal is that once the partition is obtained, moment computation is faster than with earlier methods.


Efficient Computation Moment Calculation Moment Evaluation Geometric Moment Integral Accuracy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Juan Humberto Sossa Azuela
    • 1
  • Francisco Cuevas de la Rosa
    • 2
  • Héctor Benitez
    • 1
  1. 1.Centra de Investigation en Computatión del IPNMéxicoMéxico
  2. 2.Centra de Investigaciones en Óptica+Apdo.LeónMéxico

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