Dimensionality in image analysis

  title={Dimensionality in image analysis},
  author={Jean-François Rivest and Jean Paul Fr{\'e}d{\'e}ric Serra and Pierre Soille},
  journal={J. Visual Communication and Image Representation},
Considering gray tone images as sets in the Euclidean space enables measurements of fundamental parameters of an image such as its surface, volume, and connectivity number. However, resulting measurements may have a questionable meaning as the gray tone axis is generally not homogeneous with the image. We therefore introduce the notion of dimensionality to assess the appropriateness of an image measurement. Dimensional@ holds for the mhomogeneity of image dimensions since it separates the… CONTINUE READING