Processing of Multidimensional Signals [Paperback]

Multidimensional or spatio-temporal signals are important in image processing and television. This book presents the mathematical methods for processing multidimensional signals. It describes applications in system analysis, measurement and optimization and signal restoration, with varying examples of applications.

In this book signals or images described by functions whose number of arguments varies from one to five are considered. This arguments can be time, spatial dimensions, or wavelength in a polychromatic signal. The book discusses the basics of mathematical models of signals, their transformations in technical pre-processing systems, and criteria of the systems quality. The models are used for the solution of practical tasks of system analysis, measurement and optimization, and signal restoration. Several examples are given.1 Analog, Discrete and Digital Signals.- 2 Spatio-Temporal Filtration.- 3 Discretization and Scanning.- 4 Imaging System Quality Assessment.- 5 Modulated Signals.- Appendix A: On Fundamental Notions of Probability Theory.- Appendix B: On Applications of computers in Visual Art.- References.In this book signals or images described by functions whose number of arguments varies from one to five are considered. This arguments can be time, spatial dimensions, or wavelength in a polychromatic signal. The book discusses the basics of mathematical models of signals, their transformations in technical pre-processing systems, and criteria of the systems quality. The models are used for the solution of practical tasks of system analysis, measurement and optimization, and signal restoration. Several examples are given.Multidimensional or spatio-temporal signals are important in image processing and television. This book presents the mathematical methods for the processing of multidimensional signals. Applications in system analysis, measurement and optimization, and signal restoration are described. Some examples of applications arels5