Invertible integer DCT algorithms

Invertible integer DCT algorithms

A global method for invertible integer DCT and integer wavelet algorithms

Integer DCT-based Image Coding

DCT-based image/video coding is still popular now. In this paper, a novel embedded image coding scheme based on integer reversible DCT is proposed. It integrates lossy and lossless coding schemes perfectly. The transform is implemented by factoring the float DCT transform matrix into a series of integer reversible transform matrices. We apply the series of matrices to image samples, and encode ...

Video Compression Using Integer DCT

This paper describes the implementation of integer discrete cosine transform (IntDCT) using the Walsh-Hadamard transform and the lifting scheme. The implementation is in the forms of shifts and adds, and all internal nodes have nite precision. A general-purpose scheme of 8-pt IntDCT with complexity of 45 adds and 18 shifts is proposed which gives comparable performance to the oating-point DCT (...

Invertible Linear Transforms Implemented by Integer Mapping

Abstract The general integer mapping theory of invertible linear transforms is considered in this paper. Two terms of integer factor and elementary triangular matrix are introduced. We prove that there exists an integer implementation if a linear transform is invertible and in finite dimensional space. The integer implementation of an invertible linear transform has several advantages such as (...