IMAGE SEGMENTATION ALGORITHMS BASED ON WAVELET AND HOMOGENEOUS BESOV SPACE
基于小波与齐次Besov空间的图像分割算法

Two image segmentation algorithms were proposed based on homogeneous Besov space, inspired from geodesic active contors methods with global minimizers. Meanwhile the existence of the solution was proved. Those new algorithms can be resolved efficiently through wavelet soft threshold thanks to the conections between wavelet transform and Besov space semi-norm. And split Bregman method was also adopted in one of algorithms. Dwe to the multiresolution character of wavelet, they are proper to segment images containing more fine information. Numerical simulations show that the proposed methods can improve computation efficiency and result in good segmentation.