Shape representation using fourier transforms

Details Shape representation using fourier transforms Shape representation using fourier transforms

2007-01-17

2011-11-08

Bali, Vikkram (Department: 2624)

Image analysis

Pattern recognition

Feature extraction

C382S115000, C382S117000, C382S181000, C382S190000, C382S195000

Reexamination Certificate

active

08055074

ABSTRACT:
A method of approximating the inner or outer boundary of an iris comprises generating an approximate boundary representation (20) comprising a least squares approximation by a Fourier Series of a function of the angle (θ) about a fixed point (A) of the distance of measured points (10) on the boundary from the fixed point (A). More broadly, the method may be used to approximate the shape of any two-dimensional curve or figure.

REFERENCES:
patent: 6144754 (2000-11-01), Okano et al.
patent: 6714665 (2004-03-01), Hanna et al.
patent: 6801661 (2004-10-01), Sotak et al.
patent: 2006/0147094 (2006-07-01), Yoo
Ghosh, “An Algebra of Geometric Shapes”,IEEE Computer Graphics and Applications, 1993, p. 50, U.S.
B. Bonney, et al., “Iris pattern extraction using bit planes and standard deviations”,Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004, U.S.
Y. Du, et al., “Analysis of Partial Iris Recognition Using a 1-D Approach”,Proceedings of the 2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, Mar. 18-23, 2005, U.S.
International Search Report for PCT/EP2008/050370 mailed Jul. 21, 2009.
Clarysse, P., “Two-dimensional Spatial and Temporal Displacement and Deformation Field Fitting from Cardiac Magnetic Resonance Tagging”,Medical Image Analysis, 2000, pp. 253-268, XP002482596.
Lestrel, Pete E., “Introduction and Overview of Fourier Descriptors”,Fourier Descriptors and Their Applications in Biology, 2001, pp. 22-44, XP008090742; ISBN: 978-0-521-45201-4.
Niemel, L. P. W. et al., “A Novel Description of Handwritten Characters for Use with Generalised Fourier Descriptors”,European Transactions on Telecommunications and Related Technologies, AEI, Milano, IT, Sep. 1, 1992, pp. 455-464, XP000315364; ISSN: 1120-3862.
Sener, S. et al., “Affine Invariant Fitting of Algebraic Curves using Fourier Descriptors”,Pattern Analysis and Applications, Springer-Verlag, vol. 8, No. 1-2, Sep. 1, 2005, pp. 72-83, XP019381480; ISSN: 1433-755X.
Unel, M. et al., “Fitting Circle Polynomials to Planar Objects”,Proc. of the First Workshop on Computer Vision, Pattern Recognition and Image Processing; XP002482595 Oct. 23, 1998.
Wyatt, Harry J., “The Form of the Human Pupil”,Vision Research; Pergamon Press, Oxford, GB, vol. 35, No. 14; XP001077732; ISSN: 0042-6989 Jul. 1, 1995, 2021-2036.
Da Fontoura Costa, Luciano, “Estimating Derivatives and Curvature of Open Curves”,Pattern Recognition, Elsevier, GB, Nov. 1, 2002, pp. 2445-2451; XP 004819285; ISSN: 0031-3203.
Oirrak, Ahmed El, “Affine Invariant Descriptors Using Fourier Series”,Pattern Recognition Letters, Elsevier, Amsterdam, NL, Aug. 2002, pp. 1109-1118; XP004349759; ISSN: 0167-8655.
Vanicek, Petr; “Further Development and Properties of the Spectral Analysis by Least-Squares”; Dec. 7, 1970; Astrophysics and Space Science, vol. 12, 1971; pp. 10-33.

Affiliated with

Also associated with

Rating

Shape representation using fourier transforms does not yet have a rating. At this time, there are no reviews or comments for this patent.

If you have personal experience with Shape representation using fourier transforms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shape representation using fourier transforms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFUS-PAI-O-4311091