A novel algebraic method for kernel-based object tracking

• We introduced an algebraic method for kernel based object tracking.
• A new method for background removing is proposed by dividing the candidate area in two parts.
• The effect of noise and background clutter is reduced by segmentation of object.
• We propose radial scanning of histogram for solving the problem of changes in scale and shape.

In the present paper, a new tracking method based on kernel tracking is proposed. The proposed method employs a novel algebraic algorithm to get the kernel movement. In contrast to the mean-shift method which uses a weighted kernel to reduce the effect of the background, the algebraic algorithm of the proposed method allows dividing the candidate area into two parts in order to identify the object and background regions. To detect the object and background regions, we propose measuring the similarity of weighted histogram for each part. The experiments show the superiority of the proposed method for the removal of the background. The effect of noise and background clutter is reduced by segmentation of the object which produces the narrow histogram. In conclusion, the ability of the proposed method for tracking in crowded and cluttered scenes is demonstrated.

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