Image comparison based on semivariogram and its application

This paper describes the use of semivariogram as a parameter for image comparison which is a commonly used method in content-based image retrieval. The authors first review various applications of spatial statistics to image and signal processing, and recent literature of image comparison, with the emphasis to global image structure description and distance-based image retrieval techniques. The difficulty arising in this field is the definition of image similarity. A new parameter based on semivariogram is putted forward by the authors. Bearing in mind that semivariogram is a parameter not only describes the global structure of a data set but also describes the local continuity of that data set, it is shown in the paper that semivariogram is suitable for global image comparison, and can be used to reveal local features of the image as well. Based on this property, a new index for image similarity is constructed and a practical program using it is developed. By applying the approach to a practical problem, the results show that this approach has the following merits: (a) high sensitivity to structure differences of an image. (b) low computational complexity, and (c) high robustness to lightening conditions.

[1]  Shih-Fu Chang,et al.  Image Retrieval: Current Techniques, Promising Directions, and Open Issues , 1999, J. Vis. Commun. Image Represent..

[2]  B. Picinbono Random Signals and Systems , 1993 .

[3]  Michael S. Lew,et al.  Content Based Image Retrieval: Optimal Keys, Texture, Projections, or Templates , 1998, Image Databases and Multi-Media Search.

[4]  P. Curran The semivariogram in remote sensing: An introduction , 1988 .

[5]  Noel A Cressie,et al.  Statistics for Spatial Data. , 1992 .

[6]  Mario Chica-Olmo,et al.  Computing geostatistical image texture for remotely sensed data classification , 2000 .

[7]  Chin-Wan Chung,et al.  An Indexing and Retrieval Mechanism for Complex Similarity Queries in Image Databases , 1999, J. Vis. Commun. Image Represent..

[8]  S. de Bruin,et al.  Integrating spatial statistics and remote sensing , 1998 .

[9]  P. Switzer,et al.  A transformation for ordering multispectral data in terms of image quality with implications for noise removal , 1988 .

[10]  Luc Pronzato,et al.  Nonlinear prediction by kriging, with application to noise cancellation , 2000, Signal Process..

[11]  Etienne Decencière,et al.  Applications of kriging to image sequence coding , 1998, Signal Process. Image Commun..

[12]  A. Stein,et al.  A comparison of conventional and geostatistical methods to replace clouded pixels in NOAA-AVHRR images , 1998 .

[13]  Jennifer L. Dungan,et al.  Kriging in the shadows: Geostatistical interpolation for remote sensing , 1994 .

[14]  Evangelos A. Yfantis,et al.  Image Compression and Kriging , 1994 .

[15]  Fernando Pellon de Miranda,et al.  The semivariogram in comparison to the co-occurrence matrix for classification of image texture , 1998, IEEE Trans. Geosci. Remote. Sens..

[16]  Hui-Chung Yeh,et al.  An Anisotropic Spatial Modeling Approach for Remote Sensing Image Rectification , 2000 .

[17]  Jennifer L. Dungan,et al.  Estimation of signal-to-noise: a new procedure applied to AVIRIS data , 1989 .

[18]  F. D. van der Meer,et al.  Extraction of mineral absorption features from high - spectral resolution data using non - parametric geostatistical techniques , 1994 .

[19]  Linda G. Shapiro,et al.  A Flexible Image Database System for Content-Based Retrieval , 1999, Comput. Vis. Image Underst..

[20]  C. Woodcock,et al.  The use of variograms in remote sensing: I , 1988 .

[21]  Vito Di Gesù,et al.  Distance-based functions for image comparison , 1999, Pattern Recognit. Lett..

[22]  J. Chilès,et al.  Geostatistics: Modeling Spatial Uncertainty , 1999 .