Based on the novel matrix representations of the forward three-dimensional (3-D) discrete cosine transform (DCT) and the inverse 3-D DCT, applications for reduction of sequence/image/video are proposed. The original sequence/image/video is divided into subunits, and then the reduction is implemented in the frequency-domain by DCT. Two efficient algorithms are presented in accordance with two kinds of reducing multiples, 1s and o1 o2, respectively. The proposed algorithms significantly eliminate ripple and blocky effects. As a result, they can provide numerous applications in data compression as well. Simulation results show that proposed mechanisms enable good performances for reductions of sequences, images, and videos as expected.
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics
- Computer Science Applications
- Electrical and Electronic Engineering