Robust object recognition based on implicit algebraic curves and surfaces

Two problems pertinent to using implicit higher degree polynomials in real-world robust systems are dealt with: (1) characterization and fitting algorithms for the subset of these algebraic curves and surfaces that is bounded and exists largely in the vicinity of the data; (2) a Mahalanobis distance...

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Bibliographic Details
Main Authors: Keren, D., Subrahmonia, J., Cooper, D.B.
Format: Conference Proceeding
Language:English
Subjects:
Curve fitting
Engine cylinders
Laboratories
Object recognition
Polynomials
Power engineering and energy
Robustness
Shape
Surface fitting
Systems engineering and theory
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Summary:Two problems pertinent to using implicit higher degree polynomials in real-world robust systems are dealt with: (1) characterization and fitting algorithms for the subset of these algebraic curves and surfaces that is bounded and exists largely in the vicinity of the data; (2) a Mahalanobis distance for comparing the coefficients of two polynomials, to determine whether the curves or surfaces that they represent are close over a specified region. These tools make practical use of geometric invariants for determining whether one implicit polynomial curve or surface is a rotation, translation, or an affine transformation of another. The approach is ideally suited to smooth curves and smooth curved surfaces that do not have detectable features.< >
ISSN:1063-6919
DOI:10.1109/CVPR.1992.223171