On the Application of Orthogonal Series Density Estimation for Image Classification Based on Feature Description

This paper presents an image classification algorithm called density-based classifier. The proposed method puts together the image representation based on keypoints and the estimation of the probability density of descriptors with the application of orthonormal series. For each class of images a separate classifier is constructed. The presented procedure ensures that different descriptors affect the final decision in a different degree. The trained classifier determines whether the query image is assigned to the class or not. The obtained experimental results show that proposed method provides good results. The algorithm can be applied to many tasks in the field of image processing.

[1]  L. Rutkowski Real-time identification of time-varying systems by non-parametric algorithms based on Parzen kernels , 1985 .

[2]  Luc Van Gool,et al.  SURF: Speeded Up Robust Features , 2006, ECCV.

[3]  Yan Ke,et al.  PCA-SIFT: a more distinctive representation for local image descriptors , 2004, CVPR 2004.

[4]  Hermann Ney,et al.  Statistical framework for model-based image retrieval in medical applications , 2003, J. Electronic Imaging.

[5]  Omar S. Soliman,et al.  Remote Sensing Satellite Images Classification Using Support Vector Machine and Particle Swarm Optimization , 2012, 2012 Third International Conference on Innovations in Bio-Inspired Computing and Applications.

[6]  Patrick Haffner,et al.  Support vector machines for histogram-based image classification , 1999, IEEE Trans. Neural Networks.

[7]  Leszek Rutkowski,et al.  Generalized regression neural networks in time-varying environment , 2004, IEEE Transactions on Neural Networks.

[8]  Leszek Rutkowski,et al.  A general approach for nonparametric fitting of functions and their derivatives with applications to linear circuits identification , 1986 .

[9]  Leszek Rutkowski,et al.  Adaptive probabilistic neural networks for pattern classification in time-varying environment , 2004, IEEE Transactions on Neural Networks.

[10]  Mohammad Khansari,et al.  Inferring a Bayesian Network for Content-Based Image Classification , 2008 .

[11]  L. Rutkowski,et al.  Nonparametric fitting of multivariate functions , 1986 .

[12]  Leszek Rutkowski,et al.  New Soft Computing Techniques for System Modeling, Pattern Classification and Image Processing , 2004 .

[13]  David G. Lowe,et al.  Object recognition from local scale-invariant features , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[14]  Serge J. Belongie,et al.  Matching with shape contexts , 2000, 2000 Proceedings Workshop on Content-based Access of Image and Video Libraries.

[15]  Bernt Schiele,et al.  Tutor-based learning of visual categories using different levels of supervision , 2010, Comput. Vis. Image Underst..

[16]  L. Rutkowski Non-parametric learning algorithms in time-varying environments☆ , 1989 .

[17]  W. Greblicki,et al.  An orthogonal series estimate of time-varying regression , 1983 .

[18]  James Ze Wang,et al.  Image retrieval: Ideas, influences, and trends of the new age , 2008, CSUR.

[19]  Leszek Rutkowski Multiple Fourier series procedures for extraction of nonlinear regressions from noisy data , 1993, IEEE Trans. Signal Process..

[20]  Cordelia Schmid,et al.  A Performance Evaluation of Local Descriptors , 2005, IEEE Trans. Pattern Anal. Mach. Intell..

[21]  Xiaorong Yang,et al.  Classification Methods of Remote Sensing Image Based on Decision Tree Technologies , 2010, CCTA.

[22]  Krzysztof Patan,et al.  Optimal training strategies for locally recurrent neural networks , 2011 .

[23]  Patrick M. Kelly,et al.  CANDID: comparison algorithm for navigating digital image databases , 1994, Seventh International Working Conference on Scientific and Statistical Database Management.

[24]  Mengxi Xu,et al.  Remotely Sensed Image Classification by Complex Network Eigenvalue and Connected Degree , 2012, Comput. Math. Methods Medicine.

[25]  E. Rafajłowicz,et al.  On optimal global rate of convergence of some nonparametric identification procedures , 1989 .

[26]  L. Rutkowski On nonparametric identification with prediction of time-varying systems , 1984 .

[27]  Bill Triggs,et al.  Histograms of oriented gradients for human detection , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[28]  N. J. Leite,et al.  An architecture for content-based retrieval of remote sensing images , 2000, 2000 IEEE International Conference on Multimedia and Expo. ICME2000. Proceedings. Latest Advances in the Fast Changing World of Multimedia (Cat. No.00TH8532).

[29]  Leszek Rutkowski On Bayes Risk Consistent Pattern Recognition Procedures in a Quasi-Stationary Environment , 1982, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[30]  Claudio Gutierrez,et al.  Survey of graph database models , 2008, CSUR.

[31]  Xiao Bai,et al.  Learning invariant structure for object identification by using graph methods , 2011, Comput. Vis. Image Underst..

[32]  Leszek Rutlowski Sequential pattern recognition procedures derived from multiple Fourier series , 1988 .

[33]  Marcin Korytkowski,et al.  On Combining Backpropagation with Boosting , 2006, The 2006 IEEE International Joint Conference on Neural Network Proceedings.

[34]  S C Orphanoudakis,et al.  I2C: a system for the indexing, storage, and retrieval of medical images by content. , 1994, Medical informatics = Medecine et informatique.

[35]  L. Rutkowski Application of multiple Fourier series to identification of multivariable non-stationary systems , 1989 .

[36]  W. Greblicki,et al.  Density-free Bayes risk consistency of nonparametric pattern recognition procedures , 1981, Proceedings of the IEEE.

[37]  Leszek Rutkowski,et al.  Identification of MISO nonlinear regressions in the presence of a wide class of disturbances , 1991, IEEE Trans. Inf. Theory.

[38]  Geoffrey E. Hinton,et al.  ImageNet classification with deep convolutional neural networks , 2012, Commun. ACM.

[39]  Robert Nowicki,et al.  Rough-Neuro-Fuzzy System with MICOG Defuzzification , 2006, 2006 IEEE International Conference on Fuzzy Systems.

[40]  Timoteo Carletti,et al.  The Stochastic Evolution of a Protocell: The Gillespie Algorithm in a Dynamically Varying Volume , 2011, Comput. Math. Methods Medicine.

[41]  L. Rutkowski On-line identification of time-varying systems by nonparametric techniques , 1982 .

[42]  Pietro Perona,et al.  A Bayesian approach to unsupervised one-shot learning of object categories , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

[43]  L. Rutkowski Nonparametric identification of quasi-stationary systems , 1985 .