Brachiopods classification based on fusion of global and local complete and stable descriptors

In this paper, we propose a descriptor for Brachiopods classification by using a combination between curvature and Fourier descriptors. The curvature properties provide an apparently powerful cue to the underlying structure of the curve and captures completely the structure of planar curve. In addition, it is stable and complete. Fourier descriptors are powerful features for the recognition of two-dimensional connected shapes. We used the Fourier descriptors proposed by Ghorbel, this set of invariants is also stable and complete. Based on this observation, important features can be extracted. Experiments show that the proposed descriptor is fast to compute and it achieves high recognition rates compared to Curvature Scale Space descriptor.

[1]  Sadegh Abbasi,et al.  Shape similarity retrieval under affine transforms , 2002, Pattern Recognit..

[2]  Thomas R. Crimmins.  A Complete Set of Fourier Descriptors for Two-Dimensional Shapes , 1982, IEEE Transactions on Systems, Man, and Cybernetics.

[3]  Mandyam D. Srinath,et al.  Orthogonal Moment Features for Use With Parametric and Non-Parametric Classifiers , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Matti Pietikäinen,et al.  An Experimental Comparison of Autoregressive and Fourier-Based Descriptors in 2D Shape Classification , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[5]  Farzin Mokhtarian,et al.  Scale-Based Description and Recognition of Planar Curves and Two-Dimensional Shapes , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[6]  Tony F. Chan,et al.  Active contours without edges , 2001, IEEE Trans. Image Process..

[7]  Thomas S. Huang,et al.  A Modified Fourier Descriptor for Shape Matching in MARS , 1998, Image Databases and Multi-Media Search.

[8]  Farzin Mokhtarian,et al.  A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Michael Foote,et al.  Perimeter-based Fourier analysis: a new morphometric method applied to the trilobite cranidium , 1989, Journal of Paleontology.

[10]  Tim Morris,et al.  Computer Vision and Image Processing: 4th International Conference, CVIP 2019, Jaipur, India, September 27–29, 2019, Revised Selected Papers, Part I , 2020, CVIP.

[11]  MokhtarianFarzin,et al.  A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves , 1992 .

[12]  Rachid Deriche,et al.  Geodesic Active Regions and Level Set Methods for Supervised Texture Segmentation , 2002, International Journal of Computer Vision.

[13]  King-Sun Fu,et al.  Shape Discrimination Using Fourier Descriptors , 1977, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[14]  James S. Crampton,et al.  Elliptic Fourier shape analysis of fossil bivalves: some practical considerations , 1995 .

[15]  Cristina Urdiales,et al.  Non-parametric planar shape representation based on adaptive curvature functions , 2002, Pattern Recognit..

[16]  Kidiyo Kpalma,et al.  Multiscale contour description for pattern recognition , 2006, Pattern Recognit. Lett..

[17]  Steffen Goebbels,et al.  Fourier descriptors for broken shapes , 2013, EURASIP Journal on Advances in Signal Processing.

[18]  Modélisation des contours fermés:“AN-MORPH” outil mis au point pour maîtriser les composantes des profils latéraux des ostracodes. Perspective d'application systématique , 1999 .

[19]  Alan L. Yuille,et al.  Region Competition: Unifying Snakes, Region Growing, and Bayes/MDL for Multiband Image Segmentation , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[20]  Ralph Roskies,et al.  Fourier Descriptors for Plane Closed Curves , 1972, IEEE Transactions on Computers.

[21]  Describing Ammonite shape using Fourier analysis , 2004 .

[22]  Wageeh Boles,et al.  Recognition of 2D object contours using the wavelet transform zero-crossing representation , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[23]  Guojun Lu,et al.  Study and evaluation of different Fourier methods for image retrieval , 2005, Image Vis. Comput..

[24]  Faouzi Ghorbel.  Stability of invariant Fourier descriptors and its inference in the shape classification , 1992, Proceedings., 11th IAPR International Conference on Pattern Recognition. Vol. III. Conference C: Image, Speech and Signal Analysis,.

[25]  Michel Barlaud,et al.  DREAM2S: Deformable Regions Driven by an Eulerian Accurate Minimization Method for Image and Video Segmentation , 2002, ECCV.

[26]  Sang Uk Lee,et al.  Recognition of 2D Object Contours Using Starting-Point-Independent Wavelet Coefficient Matching , 1998, J. Vis. Commun. Image Represent..

[27]  D. Mumford,et al.  Optimal approximations by piecewise smooth functions and associated variational problems , 1989 .

[28]  Azriel Rosenfeld,et al.  Computer vision and image processing , 1992 .