WO2008087127A1 - Shape representation using fourier transforms - Google Patents

Shape representation using fourier transforms Download PDF

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Publication number
WO2008087127A1
WO2008087127A1 PCT/EP2008/050370 EP2008050370W WO2008087127A1 WO 2008087127 A1 WO2008087127 A1 WO 2008087127A1 EP 2008050370 W EP2008050370 W EP 2008050370W WO 2008087127 A1 WO2008087127 A1 WO 2008087127A1
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WO
WIPO (PCT)
Prior art keywords
boundary
points
approximate
iris
shape
Prior art date
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Ceased
Application number
PCT/EP2008/050370
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English (en)
French (fr)
Inventor
Donald Martin Monro
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Individual
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Individual
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Filing date
Publication date
Application filed by Individual filed Critical Individual
Priority to JP2009545905A priority Critical patent/JP2010517126A/ja
Priority to EP08701481A priority patent/EP2104908B1/en
Priority to PL08701481T priority patent/PL2104908T3/pl
Priority to ES08701481T priority patent/ES2393260T3/es
Priority to CN2008800023928A priority patent/CN101589401B/zh
Publication of WO2008087127A1 publication Critical patent/WO2008087127A1/en
Anticipated expiration legal-status Critical
Priority to ZA2009/05324A priority patent/ZA200905324B/en
Ceased legal-status Critical Current

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Classifications

    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06VIMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
    • G06V40/00Recognition of biometric, human-related or animal-related patterns in image or video data
    • G06V40/10Human or animal bodies, e.g. vehicle occupants or pedestrians; Body parts, e.g. hands
    • G06V40/18Eye characteristics, e.g. of the iris
    • G06V40/193Preprocessing; Feature extraction
    • GPHYSICS
    • G06COMPUTING OR CALCULATING; COUNTING
    • G06VIMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
    • G06V10/00Arrangements for image or video recognition or understanding
    • G06V10/40Extraction of image or video features
    • G06V10/46Descriptors for shape, contour or point-related descriptors, e.g. scale invariant feature transform [SIFT] or bags of words [BoW]; Salient regional features
    • G06V10/478Contour-based spectral representations or scale-space representations, e.g. by Fourier analysis, wavelet analysis or curvature scale-space [CSS]

Definitions

  • the present invention relates to shape representation using Fourier Transforms.
  • the invention finds particular although not exclusive application in biometrics, for example in the generation of approximate representations of the outer and/or inner boundary of the iris in the human eye.
  • FFTs Fast Fourier Transforms
  • a method of approximating an iris boundary comprising the steps of:
  • the standard method of calculating the Fourier Series coefficients such as the Discrete Fourier Transform (DFT) or the Fast Fourier Transform (FFT) cannot be used.
  • DFT Discrete Fourier Transform
  • FFT Fast Fourier Transform
  • this method is used to map the inner boundary of the iris (or, equivalently, the outer boundary of the pupil) of a human eye. Alternatively, it may be used to map the outer iris boundary.
  • the use of higher harmonics provides excellent pupil localisation, both on general and on non-ideal eye images.
  • the method provides excellent results on the vast majority of pupils which are significantly non-circular.
  • a method of approximating a two-dimensional shape comprising the steps of: • Noting a plurality of spaced measured points on the shape;
  • Figure 1 shows a non-circular pupil shape, as imaged; and Figure 2, shows an approximation to that shape.
  • an eye may be imaged, and the image analysed to identify a plurality of points 10, which occur on the imaged pupil/iris boundary 12.
  • an approximate pupil location may be first determined by searching for a dark area of significant size close to the image centre. A histogram analysis may then be carried out to find a more exact centre as well as the average pupil radius. This approximate circular pupil boundary may then be examined in detail to obtain the required number of edge points 10. In the preferred embodiment, 16 such points are identified. It will be understood by those skilled in the art that other methods may be employed to locate points on the pupil/iris boundary and the scope of the claimed subject matter is not limited in this respect. It will also be understood that the points 10 may not necessarily be equally spaced around the edge of the pupil. Indeed, in some images part of the boundary 14 may be obscured by an eyelid and/or eyelashes 16.
  • the boundary points 10 can be used to generate a mathematical approximation 20 of the actual curve 12, as is shown in Figure 2.
  • the fitted curve 20 is a Fourier
  • a standard discrete Fourier Series such as a FFT is a least squares fit of regularly spaced data, and because of the orthogonality of the functions cos and sin results in a standard formula by which a n and b n may be calculated.
  • the matrix is symmetric. This can be solved for any M and N giving an approximation by N harmonics to M given points. Many standard methods are known for solving such a system of equations and the scope of the claimed subject matter is not limited in this respect.
  • the present embodiment may also be used to model the shape of the outer boundary of the iris. Once the inner and outer boundaries have been determined, biometric identification can proceed in the normal way based on the characteristics of the iris image between the inner and outer boundaries.
  • an improved fit may sometimes be achieved using a multi pass approach: carry out a first fit, exclude any outliers which are greater than a cut-off value, and repeat the calculation.
  • the cut-off value may be fixed, or may be data dependent, for example a given number of standard deviations .

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Multimedia (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Vision & Pattern Recognition (AREA)
  • General Physics & Mathematics (AREA)
  • Health & Medical Sciences (AREA)
  • Spectroscopy & Molecular Physics (AREA)
  • Mathematical Physics (AREA)
  • General Health & Medical Sciences (AREA)
  • Ophthalmology & Optometry (AREA)
  • Human Computer Interaction (AREA)
  • Measurement Of The Respiration, Hearing Ability, Form, And Blood Characteristics Of Living Organisms (AREA)
  • Collating Specific Patterns (AREA)
  • Image Analysis (AREA)
  • Image Processing (AREA)
PCT/EP2008/050370 2007-01-17 2008-01-15 Shape representation using fourier transforms Ceased WO2008087127A1 (en)

Priority Applications (6)

Application Number Priority Date Filing Date Title
JP2009545905A JP2010517126A (ja) 2007-01-17 2008-01-15 フーリエ変換を使用する形状表現
EP08701481A EP2104908B1 (en) 2007-01-17 2008-01-15 Shape representation using fourier transforms
PL08701481T PL2104908T3 (pl) 2007-01-17 2008-01-15 Odwzorowanie kształtu z użyciem przekształceń Fouriera
ES08701481T ES2393260T3 (es) 2007-01-17 2008-01-15 Representación de una forma con la ayuda de Transformadas de Fourier
CN2008800023928A CN101589401B (zh) 2007-01-17 2008-01-15 使用傅里叶变换的形状表示
ZA2009/05324A ZA200905324B (en) 2007-01-17 2009-07-30 Shape representation using fourier transforms

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US11/654,496 US8055074B2 (en) 2007-01-17 2007-01-17 Shape representation using fourier transforms
US11/654,496 2007-01-17

Publications (1)

Publication Number Publication Date
WO2008087127A1 true WO2008087127A1 (en) 2008-07-24

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PCT/EP2008/050370 Ceased WO2008087127A1 (en) 2007-01-17 2008-01-15 Shape representation using fourier transforms

Country Status (8)

Country Link
US (1) US8055074B2 (enExample)
EP (1) EP2104908B1 (enExample)
JP (1) JP2010517126A (enExample)
CN (1) CN101589401B (enExample)
ES (1) ES2393260T3 (enExample)
PL (1) PL2104908T3 (enExample)
WO (1) WO2008087127A1 (enExample)
ZA (1) ZA200905324B (enExample)

Families Citing this family (12)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7809747B2 (en) * 2006-10-23 2010-10-05 Donald Martin Monro Fuzzy database matching
US9846739B2 (en) 2006-10-23 2017-12-19 Fotonation Limited Fast database matching
US20100278394A1 (en) * 2008-10-29 2010-11-04 Raguin Daniel H Apparatus for Iris Capture
US8317325B2 (en) 2008-10-31 2012-11-27 Cross Match Technologies, Inc. Apparatus and method for two eye imaging for iris identification
US8577094B2 (en) 2010-04-09 2013-11-05 Donald Martin Monro Image template masking
JP4893862B1 (ja) * 2011-03-11 2012-03-07 オムロン株式会社 画像処理装置、および画像処理方法
JP4893863B1 (ja) * 2011-03-11 2012-03-07 オムロン株式会社 画像処理装置、および画像処理方法
US9854159B2 (en) 2012-07-20 2017-12-26 Pixart Imaging Inc. Image system with eye protection
TWI471808B (zh) * 2012-07-20 2015-02-01 Pixart Imaging Inc 瞳孔偵測裝置
JP6497162B2 (ja) * 2015-03-26 2019-04-10 オムロン株式会社 画像処理装置および画像処理方法
WO2018207959A1 (ko) * 2017-05-11 2018-11-15 주식회사 룩시드랩스 이미지 처리 장치 및 방법
US12284058B2 (en) * 2022-06-16 2025-04-22 Samsung Electronics Co., Ltd. Self-tuning fixed-point least-squares solver

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US20060147094A1 (en) * 2003-09-08 2006-07-06 Woong-Tuk Yoo Pupil detection method and shape descriptor extraction method for a iris recognition, iris feature extraction apparatus and method, and iris recognition system and method using its

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US6144754A (en) * 1997-03-28 2000-11-07 Oki Electric Industry Co., Ltd. Method and apparatus for identifying individuals
JP4068596B2 (ja) * 2003-06-27 2008-03-26 株式会社東芝 図形処理方法、図形処理装置およびコンピュータ読取り可能な図形処理プログラム

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US6801661B1 (en) * 2001-02-15 2004-10-05 Eastman Kodak Company Method and system for archival and retrieval of images based on the shape properties of identified segments
US20060147094A1 (en) * 2003-09-08 2006-07-06 Woong-Tuk Yoo Pupil detection method and shape descriptor extraction method for a iris recognition, iris feature extraction apparatus and method, and iris recognition system and method using its

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COSTA L DA F: "Estimating derivatives and curvature of open curves", PATTERN RECOGNITION, ELSEVIER, GB, vol. 35, no. 11, November 2002 (2002-11-01), pages 2445 - 2451, XP004819285, ISSN: 0031-3203 *
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Also Published As

Publication number Publication date
US8055074B2 (en) 2011-11-08
CN101589401B (zh) 2013-04-10
EP2104908A1 (en) 2009-09-30
US20080170760A1 (en) 2008-07-17
EP2104908B1 (en) 2012-06-27
PL2104908T3 (pl) 2012-11-30
ZA200905324B (en) 2011-05-25
JP2010517126A (ja) 2010-05-20
CN101589401A (zh) 2009-11-25
ES2393260T3 (es) 2012-12-19

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