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Curve Parametrization by Moments
- Source :
- IEEE Transactions on Pattern Analysis and Machine Intelligence. 31:15-26
- Publication Year :
- 2009
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2009.
-
Abstract
- We present a method for deriving a parametric description of a conic section (quadratic curve) in an image from the moments of the image with respect to several specially-constructed kernel functions. In contrast to Hough-transform-type methods, the moment approach requires no large accumulator array. Judicious implementation allows the parameters to be determined using five multiplication operations and six addition operations per pixel. The use of moments renders the calculation robust in the presence of high-frequency noise or texture and resistant to small-scale irregularities in the edge. Our method is generalizable to more complex classes of curves with more parameters as well as to surfaces in higher dimensions.
- Subjects :
- Image moment
business.industry
Applied Mathematics
Mathematical analysis
Image processing
Geometry
Quadratic function
Models, Theoretical
Pattern Recognition, Automated
Computational Theory and Mathematics
Image texture
Artificial Intelligence
Conic section
Velocity Moments
Image Interpretation, Computer-Assisted
Moment (physics)
Computer Simulation
Computer Vision and Pattern Recognition
Artificial intelligence
business
Parametrization
Algorithms
Software
Mathematics
Subjects
Details
- ISSN :
- 01628828
- Volume :
- 31
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Accession number :
- edsair.doi.dedup.....eb149b666424906e4c8aa5d6d7e24a41