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This book presents the fundamentals and properties of various image transforms used in image and video compression and discusses their applications in designing various image and video processing algorithms in the compressed domain. Emphasizing DCT-based compression algorithms and DWT-based JPEG2000, the text explores different image and video compression techniques. It then describes key properties of various transform spaces, with a focus on block DCT space and DWT. The author also covers several types of image and video processing operations along with techniques related to the analysis of video and images in the compressed domain.