The three-dimensional discrete cosine transform (3D DCT) has been used in many 3-D applications such as video coding and compression. Many fast algorithms have been developed for the calculation of 1-D DCT. These algorithms are then used for the calculation of 3-D DCT using the row-column approach. However, 3-D algorithms involve less arithmetic operations and can be faster. In this paper, the ...

In this paper, the design of three-dimensional (3-D) FIR filters using McClellan transform method and integral squared error (ISE) criterion is presented. The 3-D filters with cone-shaped characteristics are considered in the approach. By minimizing the ISE function and double integration, a novel closed-form solution for the transform parameters is developed. The new relations for the transfor...

This work is intended to provide some ideas on the use of a Gaussian-derivative model for visual perception, called the Hermite transform, to extract motion information from an image sequence. Gaussian-derivative operators have long been used in computer vision for feature extraction and are relevant in visual system modeling. A directional energy is defined in terms of the 1-D Hermite transfor...

An efficient compression strategy is indispensable for 3-D digital echocardiography, which can provide more accurate diagnostic information than 2-D echocardiography without geometric assumption, but unfortunately requires a huge storage space. We describe a new set partitioning in hierarchical trees (SPIHT) algorithm that is based on the wavelet packet transform and use it to compress 3-D echo...

Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Nahm transform for parabolic connections. . . . . . . . . . . . 3 2. Laplace transform without parabolic structure . . . . . . . 8 3. Meromorphic connections and D-modules. . . . . . . . . . . . 10 4. Minimal parabolic Laplace transform. . . . . . . . . . . . . . . . . 14 5. Proof – outline....