Abstract
A fast mean shift algorithm for processing the image data is presented. Although it is based on the known basic principles of the original mean shift method, it improves the computational speed substantially. It is being assumed that the spatial image coordinates and range coordinates can be discretised by introducing a regular grid. Firstly, the algorithm precomputes the values of shifts at the grid points. The mean shift iterations are then carried out by making use of the grid values and trilinear interpolation. In the paper, it is shown that this can be done effectively. Measured by the order of complexity, the values at all grid points can be precomputed in the time that is equal to the time required, in the original method, for computing only one mean shift iteration for all image points. The interpolation step is computationally inexpensive. The experimental results confirming the theoretical expectations are presented. The use of the step kernel for computing the shifts (corresponding to the Epanechnikov kernel for estimating the densities), and the images with only a single value at each pixel are required.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Barash, D., Comaniciu, D.: A Common Framework for Nonlinear Diffusion, Adaptive Smoothing, Bilateral Filtering and Mean Shift. Image and Vision Computing 22, 73–81 (2004)
Carreira-Perpiñán, M.: Fast Nonparametric Clustering with Gaussian Blurring Mean-Shift. In: International Conference on Machine Learning, pp. 153–160 (2006)
Carreira-Perpiñán, M.: Acceleration Strategies for Gaussian Mean-Shift Image Segmentation. In: Conference on Computer Vision and Pattern Recognition, pp. 1160–1167 (2006)
Cheng, Y.: Mean Shift, Mode Seeking and Clustering. IEEE Transactions on Pattern Analysis and Machine Intelligence 17, 790–799 (1995)
Christoudias, C.M., Georgescu, B., Meer, P.: Synergism in Low Level Vision. In: International Conference on Pattern Recognition, pp. 150–155 (2002)
Comaniciu, D., Meer, P.: Mean Shift Analysis and Applications. In: International Conference on Computer Vision, pp. 1197–1203 (1999)
Comaniciu, D., Meer, P.: Mean Shift: A Robust Approach toward Feature Space Analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence 24, 1–18 (2002)
Comaniciu, D., Ramesh, V., Meer, P.: Kernel-Based Object Tracking. IEEE Transactions on Pattern Analysis and Machine Intelligence 25, 564–575 (2003)
Fukunaga, K., Hostetler, L.D.: The Estimation of the Gradient of a Density Function, with Application in Pattern Recognition. IEEE Transactions on Information Theory 21, 32–40 (1975)
Georgescu, B., Shimshoni, I., Meer, P.: Mean Shift Based Clustering in High Dimensions: A Texture Classification Example. In: International Conference on Computer Vision, pp. 456–463 (2003)
Paris, S., Durand, F.: A Topological Approach to Hierarchical Segmentation Using Mean Shift. In: Conference on Computer Vision and Pattern Recognition, pp. 1–8 (2007)
Vedaldi, A., Soatto, S.: Quick Shift and Kernel Methods for Mode Seeking. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part IV. LNCS, vol. 5305, pp. 705–718. Springer, Heidelberg (2008)
Yang, C., Duraiswami, R., Gumerov, N., Davis, L.: Improved Fast Gauss Transform and Efficient Kernel Density Estimation. In: International Conference on Computer Vision, pp. 464–471 (2003)
Yang, C., Duraiswami, R., Dementhon, D., Davis, L.: Mean-Shift Analysis Using Quasi-Newton Methods. In: International Conference on Image Processing, pp. 447–450 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sojka, E., Gaura, J., Fabián, T., Krumnikl, M. (2010). Fast Mean Shift Algorithm Based on Discretisation and Interpolation. In: Blanc-Talon, J., Bone, D., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2010. Lecture Notes in Computer Science, vol 6474. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17688-3_38
Download citation
DOI: https://doi.org/10.1007/978-3-642-17688-3_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17687-6
Online ISBN: 978-3-642-17688-3
eBook Packages: Computer ScienceComputer Science (R0)