Abstract for sato_cipollaCVIU

Computer Vision and Image Understanding

EXTRACTING GROUP TRANSFORMATIONS FROM IMAGE MOMENTS

Jun Sato and Roberto Cipolla

May 1998

Image distortion induced by the relative motion between an observer and the scene is an important cue for recovering the motion and the structure of the scene. It is known that the distortion in images can be described by transformation groups, such as Euclidean, affine and projective groups. In this paper, we investigate how the moments of image curves are changed by group transformations, and we derive a relationship between the change in image moments and the invariant vector fields of the transformation groups. The results are used to formalise a method for extracting invariant vector fields of affine transformations from changes in the moments of orientation of curve segments in images. The method is applied to realtime robot visual navigation task.


(ftp:) sato_cipollaCVIU.ps.gz (http:) sato_cipollaCVIU.ps.gz
PDF (automatically generated from original PostScript document - may be badly aliased on screen):
  (ftp:) sato_cipollaCVIU.pdf | (http:) sato_cipollaCVIU.pdf

If you have difficulty viewing files that end '.gz', which are gzip compressed, then you may be able to find tools to uncompress them at the gzip web site.

If you have difficulty viewing files that are in PostScript, (ending '.ps' or '.ps.gz'), then you may be able to find tools to view them at the gsview web site.

We have attempted to provide automatically generated PDF copies of documents for which only PostScript versions have previously been available. These are clearly marked in the database - due to the nature of the automatic conversion process, they are likely to be badly aliased when viewed at default resolution on screen by acroread.