WO2008087127A1 - Shape representation using fourier transforms - Google Patents
Shape representation using fourier transforms Download PDFInfo
- 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
- Authority
- WO
- WIPO (PCT)
- Prior art keywords
- boundary
- points
- approximate
- iris
- shape
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Ceased
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06V—IMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
- G06V40/00—Recognition of biometric, human-related or animal-related patterns in image or video data
- G06V40/10—Human or animal bodies, e.g. vehicle occupants or pedestrians; Body parts, e.g. hands
- G06V40/18—Eye characteristics, e.g. of the iris
- G06V40/193—Preprocessing; Feature extraction
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06V—IMAGE OR VIDEO RECOGNITION OR UNDERSTANDING
- G06V10/00—Arrangements for image or video recognition or understanding
- G06V10/40—Extraction of image or video features
- G06V10/46—Descriptors for shape, contour or point-related descriptors, e.g. scale invariant feature transform [SIFT] or bags of words [BoW]; Salient regional features
- G06V10/478—Contour-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 .
Landscapes
- 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)
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 |
Family
ID=39144282
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| 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)
| 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 |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| 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 |
Family Cites Families (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US6714665B1 (en) * | 1994-09-02 | 2004-03-30 | Sarnoff Corporation | Fully automated iris recognition system utilizing wide and narrow fields of view |
| 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 |
-
2007
- 2007-01-17 US US11/654,496 patent/US8055074B2/en active Active
-
2008
- 2008-01-15 EP EP08701481A patent/EP2104908B1/en active Active
- 2008-01-15 WO PCT/EP2008/050370 patent/WO2008087127A1/en not_active Ceased
- 2008-01-15 ES ES08701481T patent/ES2393260T3/es active Active
- 2008-01-15 JP JP2009545905A patent/JP2010517126A/ja active Pending
- 2008-01-15 CN CN2008800023928A patent/CN101589401B/zh active Active
- 2008-01-15 PL PL08701481T patent/PL2104908T3/pl unknown
-
2009
- 2009-07-30 ZA ZA2009/05324A patent/ZA200905324B/en unknown
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| 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 |
Non-Patent Citations (9)
| Title |
|---|
| B. BONNEY; R, IVES; D. ETTER; D. YINGZI: "Iris pattern extraction using bit planes and standard deviations", CONFERENCE RECORD OF THE THIRTY-EIGHTH ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS AND COMPUTERS, 2004 |
| 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 * |
| EL OIRRAK A ET AL: "Affine invariant descriptors using Fourier series", August 2002, PATTERN RECOGNITION LETTERS, ELSEVIER, AMSTERDAM, NL, PAGE(S) 1109-1118, ISSN: 0167-8655, XP004349759 * |
| GHOSH; JAIN: "An Algebra of Geometric Shapes", IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1993, pages 50, XP011417370, DOI: doi:10.1109/38.232114 |
| 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, vol. 3, no. 5, 1 September 1992 (1992-09-01), pages 455 - 464, XP000315364, ISSN: 1120-3862 * |
| SAIT SENER ET AL: "Affine invariant fitting of algebraic curves using Fourier descriptors", PATTERN ANALYSIS AND APPLICATIONS, SPRINGER-VERLAG, LO, vol. 8, no. 1-2, 1 September 2005 (2005-09-01), pages 72 - 83, XP019381480, ISSN: 1433-755X * |
| WYATT H J: "THE FORM OF THE HUMAN PUPIL", VISION RESEARCH, PERGAMON PRESS, OXFORD, GB, vol. 35, no. 14, July 1995 (1995-07-01), pages 2021 - 2036, XP001077732, ISSN: 0042-6989 * |
| WYATT H J: "Vision Research", vol. 35, July 1995, PERGAMON PRESS, article "The form of the Human Pupil", pages: 2021 - 2036 |
| Y. DU; B. L. BONNEY; R. W. IVES; D. M. ETTER; R. SCHULTZ: "Anaiysis of Partial Iris Recognition Using a I-D Approach", PROCEEDINGS OF THE 2005 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 18 March 2005 (2005-03-18) |
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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