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The Discrete Cosine Transform (DCT), and in particular the DCT type II, has been widely used for image and video compression. Although DCT efficiently approximates the optimal Karhunen–Loève transform under first-order Markov conditions with low complexity, the energy packing efficiency is still limited since a fixed transform cannot always capture the highly dynamic statistics of natural video content...
In traditional image and video coding schemes, separable transforms are typically employed due to their low-complexity implementations. However, the compression efficiency of separable transforms is limited for most natural image/video blocks which generally have arbitrarily directed edge and texture patterns. It is well known that non-separable transforms can achieve better compression efficiency...
Block-based discrete cosine transform (DCT) has been successfully adopted into several international image/video coding standards, e.g., MPEG-2, H.264/AVC, as it can achieve a good tradeoff between performance and complexity. Although DCT theoretically approximates the optimum Karhunen–Loève transform under first-order Markov conditions, one fixed set of transform basis functions (TBF) cannot handle...
Traditionally, the most commonly used sampling lattice in image processing systems is the rectangular sampling lattice. However, the minimum sampling density for a hexagonal sampling lattice is 13.4% less than that for a rectangular sampling lattice when the image signals which are band limited over a circular region of the Fourier plane. Hexagonal discrete cosine transform is applied to color image...
The traditional multi-dimensional vector matrix discrete cosine transform compression adopts video frame segmentation of fixed block size. In fact, the texture complexities of image in different regions are usually very different, so transformation adaptively with proper block size, not only further improves the compression performance, but also gets better improvement in subject evaluation. A three-dimensional...
Three-dimensional vector matrix discrete cosine transform coding (3DVMDCT) deals with each component of color image in a unified model, fully eliminates the correlation between them and gets an obvious advantage. But its block-size of image segmentation is fixed and does not fully take into account that there are different statistical properties in different regions. In this paper, we take gradient...
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