文件名称:
New Transforms Tightly Bounded by DCT and KLT
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上传时间: 2015-05-06
详细说明: Abstract—It is well known that the discrete cosine transform (DCT) and Karhunen–Loève transform (KLT) are two good representatives in image and video coding: the first can be implemented very efficiently while the second offers the best R-D coding performance. In this work, we attempt to design some new transforms with two goals: i) approaching to the KLT’s R-D performance and ii) maintaining the implementation cost no bigger than that of DCT. To this end, we follow a cascade structure of multiple butterflies to develop an itera tive algorithm: two out of N nodes are selected at each stage to form a Givens rotation (which is equivalent to a butterfly); and the best rotation angle is then determined by maximizing the resulted coding gain. We give the closed-form solutions for the node-selection as well as the angle-determination, together with some design examples to demonstrate their superiority. ...展开收缩
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