Testing for convexity with Fourier descriptors

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Testing for convexity with Fourier descriptors

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Fourier descriptors are widely used for determining the properties of planar contours. A test for determining whether a set of Fourier descriptors describes a convex contour is presented.

Inspec keywords: Fourier series; pattern recognition

Other keywords: convexity testing; Fourier descriptors; convex contour

Subjects: Optical information, image and video signal processing; Pattern recognition

References

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      • C. Ronse . A bibliography on digital and computational convexity (1961-1988). IEEE Trans. Pattern Anal. Mach. Intell. , 2 , 181 - 190
    2. 2)
      • R.K.K. Yip , P.K.S. Tam , D.N.K. Leung . Application of elliptic Fourier descriptors to symmetry detectionunder parallel projection. IEEE Trans. Pattern Analy. Mach. Intell. , 3 , 277 - 286
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      • N. Kiryati , D. Maydan . Calculating geometric properties from Fourier representation. Pattern Recognit. , 5 , 469 - 475
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      • S.K.W. Kwok , J.C.H. Poon . Viewpoint-invariant Fourier descriptors for 3D planar shaperepresentation. Electron. Lett. , 1775 - 1776
    5. 5)
      • M.P. do Carmo . (1976) Differentiable geometry of curves and surfaces.
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