Computational Cross Ratio for Computer Vision

✍ Scribed by K. Kanatani

• Publisher: Elsevier Science
• Year: 1994
• Weight: 827 KB
• Volume: 60
• Category: Article
• ISSN: 1049-9660
• DOI: 10.1006/ciun.1994.1063

✦ Synopsis

A new "computational" formulation of cross ratio is presented with a view to applications to computer vision problems by extending the framework of "computational projective geometry" of Kanatani (Image Understand. 54, 1991, 333-348). As typical examples, we construct procedures for computing the 3-D orientation of a planar shape from its 2-D projection image and the focus of expansion from an image trajectory of a single point by taking advantage of the perspective invariance of cross ratio and "projective coordinates," and the resulting 3-D interpretation of "harmonic range." 1994 Academic Press, Inc.