Parameterized Image Varieties: A Novel Approach to the Analysis and Synthesis of Image Sequences

  • Authors:
  • Yakup Genc;Jean Ponce

  • Affiliations:
  • -;-

  • Venue:
  • ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
  • Year:
  • 1998

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Abstract

This paper addresses the problem of characterizing the space formed by all images of a rigid set of n points observed by a weak perspective or paraperspective camera. By taking explicitly into account the Euclidean constraints associated with calibrated cameras, we showthat this space is a six-dimensional variety embedded in IR2n, and parameterize it using the image positions of three reference points. This parameterization is constructed vialinear least squares from point correspondences established across a sequence of images, and it is used to synthesize new pictures without any explicit three-dimensional model. Degenerate scene and camera configurations are analyzed, and experiments with real image sequences are presented.