A color time-varying image can be described as a three-dimensional vector (representing the colors in an appropriate color space) defined on a three-dimensional spatiotemporal space. In conventional analog television a one-dimensional signal suitable for transmission over a communication channel is obtained by sampling the scene in the vertical and tem poral directions and by frequency-multiplexing the luminance and chrominance informa tion. In digital processing and transmission systems, sampling is applied in the horizontal direction, too, on a signal which has been already scanned in the vertical and temporal directions or directly in three dimensions when using some solid-state sensor. As a conse quence, in recent years it has been considered quite natural to assess the potential advan tages arising from an entire multidimensional approach to the processing of video signals. As a simple but significant example, a composite color video signal, such as the conven tional PAL or NTSC signal, possesses a three-dimensional spectrum which, by using suitable three-dimensional filters, permits horizontal sampling at a rate which is less than that re quired for correctly sampling the equivalent one-dimensional signal. More recently it has been widely recognized that the improvement of the picture quality in current and advanced television systems requires well-chosen signal processing algorithms which are multidimen sional in nature within the demanding constraints of a real-time implementation.
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This volume brings together in one place contributions which disclose the benefits resulting from multidimensional processing methods covering a wide range of applications, from low bit-rate video coding and multimedia information systems to improved quality and high definition television. Recently, it has been recognized that the improvement of the picture quality in current and advanced television systems requires well chosen signal processing algorithms, which are multidimensional in nature, within the demanding constraints of a real-time implementation. This volume aims to serve as a reference, providing insights into some of the most important issues of multidimensional processing of video signals, by presenting some of the latest developments in this fast moving field.
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