Nonparametric Regression in Imaging: from Local Kernel Tomultiple-model Nonlocal Collaborative Filtering
نویسندگان
چکیده
We outline the evolution of the nonparametric regression modelling in imaging from the local Nadaraya-Watson estimates to the nonlocal means and further to the latest nonlocal block-matching techniques based on transform-domain Þltering. The considered methods are classiÞed mainly according to two leading features: local/nonlocal and pointwise/multipoint. Here nonlocal is an alternative to local, and multipoint is alternative to pointwise. The alternatives, though an obvious simpliÞcation, allow to impose a fruitful and transparent classiÞcation of the basic ideas in the advanced techniques. Within this framework, we introduce a novel multiplemodel interpretation of the basic modelling used in the BM3D algorithm [11], highlighting a source of the outstanding performance of this type of algorithms.
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