Describing complicated objects by implicit polynomials

This paper introduces and focuses on two problems. First is the representation power of closed implicit polynomials of modest degree for curves in 2-D images and surfaces in 3-D range data. Super quadrics are a small subset of object boundaries that are well fitted by these polynomials. The second p...

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Bibliographic Details
Published in:IEEE transactions on pattern analysis and machine intelligence 1994-01, Vol.16 (1), p.38-53
Main Authors: Keren, D., Cooper, D., Subrahmonia, J.
Format: Article
Language:English
Subjects:
Applied sciences
Artificial intelligence
Computer science
control theory
systems
Curve fitting
Exact sciences and technology
Laboratories
Man machine systems
Noise robustness
Object recognition
Pattern recognition. Digital image processing. Computational geometry
Polynomials
Shape
Solid modeling
Surface fitting
Systems engineering and theory
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Summary:This paper introduces and focuses on two problems. First is the representation power of closed implicit polynomials of modest degree for curves in 2-D images and surfaces in 3-D range data. Super quadrics are a small subset of object boundaries that are well fitted by these polynomials. The second problem is the stable computationally efficient fitting of noisy data by closed implicit polynomial curves and surfaces. The attractive features of these polynomials for Vision is discussed.< >
ISSN:0162-8828
1939-3539
DOI:10.1109/34.273718