A New Scale Space Total Variation Algorithm for Limited Angle Tomography
نویسندگان
چکیده
This paper proposes a scale space total variation (ssTV) algorithm to reduce large scale streaks in limited angle tomography. The weighted total variation (wTV) algorithm is able to remove most small scale streaks. However, it fails to reduce larger streaks since total variation (TV) regularization is scale-dependent and may regard them as homogeneous areas. Derived from the wTV algorithm, the proposed ssTV algorithm applies wTV regularization on the image at different scales using down-sampling and up-sampling operations and thus can reduce streaks more effectively. Advantages of the ssTV algorithm are demonstrated on both 2-D numerical data and a 3-D clinical dataset.
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