The integrated application “Afinvtensors” can generate moment invariants for various types of data and transformations from grayscale images up to tensor fields both to rotation and to affine transformation and both in 2D and in 3D. It is based on the graph method and tensor contraction. Its abilities are demonstrated in the experiment with 2D affine transformation of coordinates and independent 3D affine transformation of values of color images.

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Framework for Generation of Moment Invariants by Tensor Method

  • Tomáš Suk,
  • Roxana Bujack

摘要

The integrated application “Afinvtensors” can generate moment invariants for various types of data and transformations from grayscale images up to tensor fields both to rotation and to affine transformation and both in 2D and in 3D. It is based on the graph method and tensor contraction. Its abilities are demonstrated in the experiment with 2D affine transformation of coordinates and independent 3D affine transformation of values of color images.