Abstract
Dynamic deformation of object is a distinct problem in image-based tracking.A novel deformable object tracking method based on Lie algebra is presented.This method uses Gabor feature as target token,models deformation using affine Lie group,and optimizes parameters directly on manifold,which can be solved by exponential mapping between Lie group and its Lie algebra.We physically illustrate the essential of the geometric transformation in the tracking,then analyze the advantage of our method and give a direct proof of local quadratic convergence of the algorithm.The experimental results demonstrate that the Lie algebra based method makes significant improvements in convergence speed,tracking stability and accuracy in comparison to Euclidean based algorithms.
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