Quaternion-Based Sparse Image Processing

Advances in Multispectral Processing

Satya Prakash Yadav, Pethuru Raj, Fadi Al-Turjman, Victor Hugo Costa de Albuquerque, Sudesh Yadav

• Publisher: Elsevier
• Year: 2025
• eBook ISBN: 9780443292453
• Edition: 0
• Topic: Computer Science
• Subtopic: Computer Science General
• Index: Computer Science

Quaternion-Sparse Image Processing: Advances in Multispectral Processing brings together the technologies, research, and managerial applications of quaternion-sparse based complex algebra in image processing. The book covers the entire range of complicated tasks performed on color images, including denoising, reconstruction, classification, hallucination, feature extraction, dimension reduction, and regularization. It provides easy understanding and smooth adaptability of basic and advanced concepts for graduate students, researchers, doctors, academics, and practitioners. - Uncovers the innovative features of complex algebra, specifically the quaternion-sparse concept in image processing and how it can help in improving the computational efficiency of image processing - Deals with the most common quaternion convolution neural network, quaternion wavelet, and sparse representation-based techniques in multispectral image processing - Focuses on how evolution in algebraic concepts, i.e., quaternion and sparse, help in improving accuracy and efficiency of various color image restoration, reconstruction, and recognition - Illustrates how important features are extracted and complete information is stored in extracted features to help and process tasks in an easy and computationally efficient way

Table of contents

• Front Cover
• Quaternion-Based Sparse Image Processing
• Copyright Page
• Contents
• List of contributors
• About the editors
• 1 Quaternion-sparse-based image processing: applications, benefits, and future challenges
• 2 Technical challenges in using quaternion complex algebra for multimodal and multispectral image processing
• 3 Differential equations for multimodal and multispectral color image processing
• 4 Quaternion cooler sparse representations for image processing - technical review
• 5 Quaternion sparse matrix optimization
• 6 Collaborative and sparse representation of color image processing
• 7 Robust sparse representation in quaternion space for multimodal image processing
• 8 Sparse representation based regularization for multimodal and multispectral image processing
• 9 Fusion of multimodal, multispectral image processing using quaternion principal component analysis
• 10 Experimental evaluation and validation of different variants of principal component analysis on quaternion multispectral...
• 11 Quaternion wavelet transformation for image processing: application, benefits, and future challenges
• 12 Discrete wavelet transformation on quaternion space
• 13 Denoising in color images using quaternion discrete wavelet transformation
• 14 Fundamentals of hypercomplex Fourier transform in quaternion space
• 15 Application of hypercomplex Fourier transform in quaternion space for skin image classification
• 16 Quaternion neural network types of application, benefits, and future challenges for multispectral image processing
• 17 Quaternion neural network for geometrical operators in high–dimensional quaternion space
• 18 Image dehazing using quaternion complex algebra-based neural networks
• 19 Classification of multispectral imaging using quaternion convolution neural network
• 20 Phasor quaternion neural network for multimodal image processing
• 21 Nearby face detection is a practical and effective way to promote healthy computer usage habits
• 22 Matching games for long-term memory development and learning
• 23 A novel design for 3D drawing machine using “computer numerical control” for high precision and accuracy
• Index
• Back Cover