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Author Carlsson, Stefan
Source CiteSeerX
Content type Text
File Format PDF
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword General Configuration Point ♦ Linear Invariant ♦ Geometric Configuration ♦ Explicit Expression ♦ Main Motivation ♦ Automatic Visual Recognition System ♦ Double Algebra ♦ Intrinsic Camera Parameter ♦ Vector Space ♦ Projective 3-space ♦ Effective Tool ♦ Polyhedral Configuration ♦ Individual Point ♦ Basic Problem ♦ General Finite Dimensional Vector Space ♦ Computer Vision ♦ Linear Transformation
Description . The double algebra is a system for computations involving subspaces of a general finite dimensional vector space. If this vector space is taken as projective 3-space, the operations of the double algebra can be interpreted as joins and intersections of points, lines and planes. All computations are coordinate free and invariant over linear transformations. The double algebra is therefore a very effective tool for computation of linear invariants of geometric configurations. In this paper we show how to compute linear invariants of general configurations points and lines observed in two images and polyhedral configurations observed in one image. For these cases we derive directly explicit expression of the invariants without reconstructing individual points and lines. 1 Introduction The basic problem facing automatic visual recognition systems is the variability of the image an object can produce due to changes in viewpoint and intrinsic camera parameters. This is the main motivation ...
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 1993-01-01
Publisher Institution Applications of Invariance in Computer Vision, Lecture Notes in Computer Science 825; Proceedings of 2nd-joint Europe-US workshop, Azores