Extracting projective structure from single perspective views of 3D point sets

Conference item

A number of recent papers have argued that invariants do not exist for three-dimensional point sets in general position, which has often been misinterpreted to mean that invariants cannot be computed for any three-dimensional structure. It is proved by example that although the general statement is true, invariants do exist for structured three-dimensional point sets. Projective invariants are derived for two object classes: the first is for points that lie on the vertices of polyhedra, and the second for objects that are projectively equivalent to ones possessing a bilateral symmetry. The motivations for computing such invariants are twofold: they can be used for recognition, and they can be used to compute projective structure. Examples of invariants computed from real images are given.

Authors: Rothwell, CA; Forsyth, DA; Zisserman, A; Mundy, JL

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: IEEE
• Host title: 1993 (4th) International Conference on Computer Vision
• Pages: 573-582
• Publication date: 1993-05-11
• Event title: 4th International Conference on Computer Vision (ICCV 1993)
• Event location: Berlin, Germany
• Event website: https://www.computer.org/csdl/proceedings/iccv/1993/12OmNwseER5
• Event start date: 1993-05-11
• Event end date: 1993-05-14
• DOI: 10.1109/iccv.1993.378159
• ISBN: 0818638702
• Language: English
• Keywords: position measurement; testing; image recognition; indexing; calibration; libraries; geometry; computer vision