Implementation of 2D Discrete Cosine Transform (DCT) and Inverse DCT

Resource Overview

This package provides efficient implementation of 2D Discrete Cosine Transform (DCT) and Inverse DCT (IDCT) operations for image processing, featuring optimized algorithms for fast computation and straightforward integration.

Detailed Documentation

This package implements 2D Discrete Cosine Transform (DCT) and Inverse Discrete Cosine Transform (IDCT), designed specifically for image transformation applications. The implementation utilizes optimized matrix operations and cosine coefficient tables to ensure computational efficiency. The code structure follows a modular approach with separate functions for forward DCT (applying cosine basis functions to image blocks) and inverse DCT (reconstructing images from frequency domain coefficients). Additionally, the package includes image preprocessing utilities (such as block partitioning and normalization) and compression algorithm optimizations that leverage quantization tables and zigzag scanning patterns. Through this comprehensive toolkit, users can efficiently process images and apply various transformations and algorithms to meet diverse requirements across different application scenarios.