trussell, vrhel - fundemetals of digital imaging

[...]... definition Sampling, 1-D Frequency effects of sampling, 1-D Sampling, 2-D Frequency effects of sampling, 2-D Generalized sampling Digital image manipulation and matrix representation Basic matrix definitions and properties Kronecker product B.2.1 Properties of the Kronecker product 445 447 447 448 450 450 454 454 454 455 Contents B.3 B.4 B.5 B.6 B.7 C C.1 Properties of the trace of matrices Matrix derivatives... are needed to design and implement imaging systems that are tailored for the varying requirements of diverse technical and consumer worlds Let us begin with a bird’s eye view of the digital imaging process 1.1 Digital imaging: overview A digital image can be generated in many ways The most common methods use a digital camera, video recorder or image scanner However, digital images are also generated... study of more complete and specialized texts In Chapter 9, we present a topic that is missing from many color science texts The relationship of color sampling to the concepts of sampling in the spatial domain is important in the design of digital color imaging systems and in the simulation of any color imaging system by digital computers Chapter 10 describes image input devices The characterization of. .. cases, this leap is not too great Many two-dimensional concepts are relatively straightforward extensions of their one-dimensional counterparts Let us compare some of the similarities of f (x, y) vs f (t) We will use the time domain argument, t, for the one-dimensional signals and the spatial arguments, x and y, for the two-dimensional signals Similarities of 1-D and 2-D functions (1) Continuity: a function... optical system of the camera are the same regardless of whether the sensor is film or a solid-state sensing array The optics, which include lenses and apertures, must be matched to the sensitivity and resolution of the sensor The technology has reached a point where the best digital imaging chips 2 Introduction are comparable to high-quality consumer film In the cases of both film and digital sensors,... characteristics of the sensors must be taken into account In a color system, the responses of each of the color bands should be known and any interaction between them should be determined Once the image data are recorded, the processing of film and digital images diverges It is common to scan film, in which case the processing proceeds as in the case of a digital image An advantage of the digital system... CCD array in the form of a mosaic of filters laid on top of the CCD elements Each element recorded one band of a three-band image A full resolution color image was obtained by spatial interpolation of the three signals This method remains the basis of color still cameras today 4 Introduction 1.3 Applications As mentioned, there are many ways to generate digital images The emphasis of this text is on accurate... group This group of people should be familiar with the concepts introduced in this text Researchers in image processing are concerned with higher-level topics such as restoration of degradations of recorded images, encoding of images or extraction of information from images These higher level tasks form the cutting edge of image processing research In most of these tasks, knowledge of the process that... who are new to the area of digital imaging Readers may be planning to go into the imaging business, to use imaging for purposes peripheral to their main interest or to conduct research in any of the many areas of image processing and analysis For each of these readers, this text covers the basics that will be used at some point in almost every task The common factors in all of image processing are... Photoshop™, Corel’s Paint Shop™ or Microsoft’s Digital Image Suite™ For those workers in the imaging industry, this text provides the foundation needed to build more complex and useful systems The designers of digital imaging devices will find the mathematical basis that is required for the testing and evaluation of new devices Since it is far cheaper to test ideas in software simulation than to build hardware, . format ISBN-13 97 8-0 -5 2 1-8 685 3-2 ISBN-13 97 8-0 -5 1 1-4 551 8-6 © Cambridge University Press 2008 2008 This publication is in copyright. Subject to statutory exception and to the provision of relevant. of Digital Imaging Designing complex and practical imaging systems requires a strong foundation in the accurate capture, display and analysis of digital images. This introduction to digital imaging. definition 445 A.2 Sampling, 1-D 447 A.3 Frequency effects of sampling, 1-D 447 A.4 Sampling, 2-D 448 A.5 Frequency effects of sampling, 2-D 450 A.6 Generalized sampling 450 B Digital image manipulation