A Fourier-Shannon approach to closed contours modelling

Bioimaging

Volumn 6, Issue 3, 1998, Pages 111-125

  Bonciu, Claudia ^a   Léger, Christophe ^a   Thiel, Jacques ^a  

^a UNIVERSITÉ D'ORLÉANS   (France)

Author keywords

2 D deformable model; Fourier filtering; Fourier Shannon modelling; Shannon interpolation; Ultrasound imaging

Indexed keywords

ARTICLE; ECHOGRAPHY; IMAGE PROCESSING; IMAGE RECONSTRUCTION; MODEL; PRIORITY JOURNAL;

EID: 0345451649     PISSN: 09669051     EISSN: None     Source Type: Journal    
DOI: 10.1002/1361-6374(199809)6:3<111::AID-BIO1>3.0.CO;2-3     Document Type: Article

References (41)

1. Staib L H and Duncan J S 1992 Boundary finding with parametrically deformable models IEEE Trans. Pattern Anal. Machine Intell. 14 1061-75
2. Klingler J W, Vaughan C L, Fraker T D and Andrews L T 1988 Segmentation of echocardiographic images using mathematical morphology IEEE Trans. Biomed. Eng. 35 925-34
3. Detmer P R, Bashein G and Martin R W 1990 Matched filter identification of left-ventricular endocardial borders in transesophageal echocardiograms IEEE Trans. Med. Imaging 9 396-404
4. Feng J, Lin W-C and Chen C-T 1991 Epicardial boundary detection using fuzzy reasoning IEEE Trans. Med. Imaging 10 187-99
5. Etoh M, Shirai Y and Asada M 1993 Active contour extraction based on region descriptions obtained from clustering Syst. Comput. Japan 24 (11) 55-65
6. Cox I J, Rehg J and Hingorani S 1993 A Bayesian multiple-hypothesis approach to edge grouping and contour segmentation Int. J. Comput. Vision 11 5-24
7. Jiang H, Suzuki H and Toriwaki J 1993 A segmentation method based on region information and edge information Syst. Comput. Japan 24 (3) 48-58
8. Ueda N, Mase K and Suenaga Y 1993 A contour tracking method using an elastic contour model and an energy-minimisation approach Syst. Comput. Japan 24 (8) 59-70
9. Magnin I, Mathieu C, Friboulet D and Clarysse P 1993 Interêt de l'imagerie cardiaque 3D: acquisition, segmentation, quantification Symp. Echocardiographie et Analyse d'Images Ventriculaires (Dijon, 1993) pp 119-32
10. Nishimura T and Fujimoto T 1994 Fast contour line extraction algorithm with selective thresholding according to line continuity Syst. Comput. Japan 25 (3) 101-10
11. Geiger D, Gupta A, Costa L A and Vlontzos J 1995 Dynamic programming for detecting, tracking, and matching deformable contours IEEE Trans. Pattern Anal. Machine Intell. 17 294-301
12. Cocquerez J-P and Philip S 1995 Analyse d'images: filtrage et segmentation ISBN 2-225-84923-4
13. Moritz W E, Pearlman A S, Mc Gabe D H, Medena D K, Ainsworth M E and Boles M S 1983 An ultrasonic technique for imaging the ventricle in three dimensions and calculating its volume IEEE Trans. Biomed. Eng. BME-30 482-91
14. Stickeis K R and Wann L S 1984 An analysis of three-dimensional reconstructive echocardiography Ultrasound Med. Biol. 10 575-80
15. McCann H A, Sharp J C, Kinter T M, Neill McEwan C, Barillot C and Greenleaf J F 1988 Multidimensional ultrasonic imaging for cardiology Proc. IEEE 76 1063-71
16. Martin R W, Bashein G, Detmer P and Moritz W E 1990 Ventricular volume measurement from a multiplanar transesophageal ultrasonic imaging system: an in vitro study IEEE Trans. Biomed. Eng. 37 442-8
17. Gustavsson T, Pasher R and Caidahl K 1993 Model based dynamic 3D reconstruction of the left ventricle from 2D cross-sectional echocardiograms Comput. Med. Imaging Graphics 17 273-8
18. Cohen L D and Cohen I 1993 Finite-element methods for active contour models and balloons for 2-D and 3-D images IEEE Trans. Pattern Anal. Machine Intell. 15 1131-47
19. èmes Journées ORASIS (Mulhouse, 1993) pp 178-81
20. Lédée R, Léger C, Thiel J, Fantini J, Lamarque G, Bonciu C, Pottier J M and Marchal C 1994 Restitution volumique du ventricule gauche par sonde echocardiographique 2D tournante Rev. Innovation Technol. Biol. Médecine 15 403-18
21. Coppini G, Poli R and Valli G 1995 Recovery of the 3D shape of left ventricle from echocardiographic images IEEE Trans. Med. Imaging 14 301-17
22. Jerri A J 1977 The Shannon sampling theorem - its various extensions and applications: a tutorial review Proc. IEEE 65 1565-96
23. Schanze T 1995 Sine interpolation of discrete periodic signals IEEE Trans. Signal Proc. 43 1502-3
24. Butzer P L 1983 A survey of the Whittaker-Shannon sampling theorem and some of its extensions J. Math. Res. 4 185-212
25. Nashed M Z and Walter G G 1991 General sampling theorems for functions in reproducing kernel spaces Math. Control, Signal, Syst. 4 363-90
26. Duda R O and Hart P E 1973 Pattern Classification and Scene Analysis (New York: Wiley)
27. Léger C, Thiel J, Lédée R, Patat F and Pourcelot L 1994 Modélisation de Fourier du contour parasternal du ventricule gauche Traitement du Signal 11 155-69
28. Kass M, Witkin A and Tertzopolous D 1988 Snakes: active contour models Int. J. Comput. Vision 1 321-31
29. Chakraborty A, Staib L H and Duncan J S 1996 Deformable boundary finding in medical images by integrating gradient and. region information IEEE Trans. Med. Imaging 15 859-70
30. Chalana V, Haynor D R and Kim Y 1994 Left-ventricular boundary detection from short-axis echocardiograms Proc. SPIE Conf. on Medical Imaging vol 2167, ed M H Loew (Bellingham, WA: SPIE) pp 786-94
31. Chalana V, Linker D T, Haynor D R and Kim Y 1996 A multiple active model for cardiac boundary detection on echocardiographic sequences IEEE Trans. Med. Imaging 15 290-8
32. Duncan J S, Lee F A, Smeulders A W M and Zaret B L 1991 A bending energy model for measurement of cardiac shape deformity IEEE Trans. Med. Imaging 10 307-20
33. Gunn S R and Nixon M S 1997 A robust snake implementation; a dual active contour model IEEE Trans. Pattern Anal. Machine Intell. 19 63-8
34. Olstad B and Torp A H 1996 Encoding a priori information in active contour models IEEE Trans. Pattern Analysis and Machine Intell. 18 863-72
35. Parker K J, Gao L, Lerner R M and Levinson S F 1996 Techniques for elastic imaging: a review IEEE Eng. Med. Biol. November/December 52-9
36. Bonciu Cl 1997 4D reconstruction of the heart left ventricle using echocardiography images PhD Thesis Orleans University
37. Bonciu Cl, Léger C, Lamarque G and Weber R 1998 4D visualization of the left ventricle using a rotating ultrasound probe during 4 cardiac cycles Comput. Inform. Technol. 6 (Special Issue on Biomedical Image Processing and Analysis) to appear
38. Lobregt S and Viergever M A 1995 A discrete dynamic contour model IEEE Trans. Med. Imaging 14 12-24
39. Papoulis A 1977 Signal Analysis (New York: McGraw-Hill) pp 329-34
40. Unser M, Aldroubi A and Eden M 1992 Polynomial spline signal approximations: filter design and asymptotic equivalence with Shannon's sampling theorem IEEE Trans. Inform. Theory 38
41. Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes in C. The Art of Scientific Computing 2nd edn (Cambridge: Cambridge University Press)