2004/03/23 by Said Boussakta, H.O. Alshibami · 1 citation
Computer Science · #Advanced Data Compression Techniques #Algorithm #Artificial intelligence #Computer science #Digital Filter Design and Implementation #Discrete cosine transform #Image (mathematics) #Image and Signal Denoising Methods #Radar #Signal processing #Telecommunications
paper · doi:10.1109/tsp.2004.823472
openalex publication_date 2004/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26
Recently, many applications for three-dimensional (3-D) image and video compression have been proposed using 3-D discrete cosine transforms (3-D DCTs). Among different types of DCTs, the type-II DCT (DCT-II) is the most used. In order to use the 3-D DCTs in practical applications, fast 3-D algorithms are essential. Therefore, in this paper, the 3-D vector-radix decimation-in-frequency (3-D VR DIF) algorithm that calculates the 3-D DCT-II directly is introduced. The mathematical analysis and the implementation of the developed algorithm are presented, showing that this algorithm possesses a regular structure, can be implemented in-place for efficient use of memory, and is faster than the conventional row-column-frame (RCF) approach. Furthermore, an application of 3-D video compression-based 3-D DCT-II is implemented using the 3-D new algorithm. This has led to a substantial speed improvement for 3-D DCT-II-based compression systems and proved the validity of the developed algorithm.