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Examples of Fields that Use Digital Image Processing 29 .. the and editions by Gonzalez and Wintz, and the and edi- tions by. Digital image processing / Rafael C. Gonzalez, Richard E. Woods Gonzalez, Prentice Hall, , English, Book, Online [electronic resource] - 2nd ed. Interest in digital image processing methods stems from two principal applica- tion areas: the scope of the field that we call image processing; (2) to give a historical per- spective of Gonzalez, R. C. and Woods, R. E. . Digital Digital Image Processing, 2nd ed., Prentice Hall, Upper Saddle. River.
From the Back Cover: New Features New chapters on wavelets, image morphology, and color image processing. More than new images and over new line drawings and tables. A revision and update of all chapters, including topics such as segmentation by watersheds.
Numerous new examples with processed images of higher resolution. A reorganization that allows the reader to get to the material on actual image processing much sooner than before. Updated image compression standards and a new section on compression using wavelets. A more intuitive development of traditional topics such as image transforms and image restoration.
Updated bibliography. About the Author: His professional experiences range from entrepreneurial to the "About this title" may belong to another edition of this title. download New View Book. Other Popular Editions of the Same Title. TBS, Softcover. Pearson, Softcover. Search for all books with this author and title. Customers who bought this item also bought. Stock Image. Published by Prentice Hall.
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One of the reasons earlier versions of this book have been so well accepted through- out the world is their emphasis on fundamental concepts, an approach that, among other things, attempts to provide a measure of constancy in a rapidly- evolving body of knowledge. We have tried to observe that same principle in preparing this edition of the book.
II Anonymous Preview Interest in digital image processing methods stems from two principal applica- tion areas: This chapter has several objectives: An image may be defined as a two-dimensional function, f x, y , where x and y are spatial plane coordinates, and the amplitude of f at any pair of coordi- nates x, y is called the intensity or gray level of the image at that point.
When x, y, and the amplitude values of f are all finite, discrete quantities, we call the image a digital image. The field of digital image processing refers to processing digital images by means of a digital computer.
These elements are referred to as picture elements, image elements, pels, and pixels. Pixel is the term most widely used to denote the elements of a digi- tal image. We consider these definitions in more formal terms in Chapter 2.
Vision is the most advanced of our senses, so it is not surprising that images play the single most important role in human perception. However, unlike humans, who are limited to the visual band of the electromagnetic EM spec- trum, imaging machines cover almost the entire EM spectrum, ranging from gamma to radio waves.
They can operate on images generated by sources that humans are not accustomed to associating with images. These include ultra- sound, electron microscopy, and computer-generated images.
Thus, digital image processing encompasses a wide and varied field of applications. There is no general agreement among authors regarding where image pro- cessing stops and other related areas, such as image analysis and computer vi- sion, start.
Sometimes a distinction is made by defining image processing as a discipline in which both the input and output of a process are images.
We believe this to be a limiting and somewhat artificial boundary. For example, under this definition, even the trivial task of computing the average intensity of an image which yields a single number would not be considered an image processing op- eration.
On the other hand, there are fields such as computer vision whose ul- timate goal is to use computers to emulate human vision, including learning and being able to make inferences and take actions based on visual inputs.
This area itself is a branch of artificial intelligence AI whose objective is to emu- late human intelligence. The field of AI is in its earliest stages of infancy in terms of development, with progress having been much slower than originally antic- ipated. The area of image analysis also called image understanding is in be- tween image processing and computer vision. There are no clear-cut boundaries in the continuum from image processing at one end to computer vision at the other. However, one useful paradigm is to consider three types of computerized processes in this continuum: Low-level processes involve primitive opera- tions such as image preprocessing to reduce noise, contrast enhancement, and image sharpening.
A low-level process is characterized by the fact that both its inputs and outputs are images. Mid-level processing on images involves tasks such as segmentation partitioning an image into regions or objects , description of those objects to reduce them to a form suitable for computer processing, and classification recognition of individual objects. A mid-level process is characterized by the fact that its inputs generally are images, but its outputs are attributes extracted from those images e.
Based on the preceding comments, we see that a logical place of overlap be- tween image processing and image analysis is the area of recognition of indi- vidual regions or objects in an image.
As a simple illustration to clarify these concepts, consider the area of automated analysis of text. The processes of acquiring an image of the area containing the text, preprocessing that image, extracting segmenting the individual characters, describing the characters in a form suitable for computer processing, and recognizing those individual characters are in the scope of what we call digital image processing in this book. The con- cepts developed in the following chapters are the foundation for the methods used in those application areas.
Introduction of the Bartlane cable picture transmission system in the early s reduced the time required to transport a picture across the Atlantic from more than a week to less than three hours. Specialized printing equipment coded pictures for cable transmission and then reconstructed them at the re- ceiving end.
Figure 1. Some of the initial problems in improving the visual quality of these early dig- ital pictures were related to the selection of printing procedures and the distri- bution of intensity levels.
The printing method used to obtain Fig. The improve- ments over Fig. Some errors are visible. The early Bartlane systems were capable of coding images in five distinct levels of gray. This capability was increased to 15 levels in During this period, introduction of a system for developing a film plate via light beams that were modulated by the coded picture tape improved the reproduc- tion process considerably.
Although the examples just cited involve digital images, they are not con- sidered digital image processing results in the context of our definition because computers were not involved in their creation. Thus, the history of digital image processing is intimately tied to the development of the digital computer. In fact, digital images require so much storage and computational power that progress in the field of digital image processing has been dependent on the development of digital computers and of supporting technologies that include data storage, display, and transmission.
The idea of a computer goes back to the invention of the abacus in Asia Minor, more than years ago. More recently, there were developments in the past two centuries that are the foundation of what we call a computer today.
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However, the basis for what we call a modern digital computer dates back to only the s with the introduction by John von Neumann of two key concepts: These two ideas are the foundation of a central processing unit CPU , which is at the heart of computers today.
Briefly, these advances may be summarized as follows: Concurrent with these advances were developments in the areas of mass storage and display systems, both of which are fundamental requirements for digital image processing. The first computers powerful enough to carry out meaningful image pro- cessing tasks appeared in the early s. The birth of what we call digital image processing today can be traced to the availability of those machines and the onset of the space program during that period.
It took the combination of those two developments to bring into focus the potential of digital image processing concepts. Work on using computer techniques for improving images from a space probe began at the Jet Propulsion Laboratory Pasadena, California in when pictures of the moon transmitted by Ranger 7 were processed by a computer to correct various types of image distortion inherent in the on-board television camera.
Eastern Daylight Time EDT , about 17 minutes before impacting the lunar surface the markers, called reseau marks, are used for geometric corrections, as discussed in Chapter 5.
This also is the first image of the moon taken by a U. The imaging lessons learned with Ranger 7 served as the basis for improved methods used to enhance and restore images from the Surveyor missions to the moon, the Mariner series of flyby missions to Mars, the Apollo manned flights to the moon, and others.
Ranger 7 took this image on July 31, at 9: EDT, about 17 minutes before impacting the lunar surface. Courtesy of NASA. The invention in the early s of comput- erized axial tomography CAT , also called computerized tomography CT for short, is one of the most important events in the application of image processing in medical diagnosis.
Computerized axial tomography is a process in which a ring of detectors encircles an object or patient and an X-ray source, concentric with the detector ring, rotates about the object. The X-rays pass through the object and are collected at the opposite end by the corresponding detectors in the ring.
As the source rotates, this procedure is repeated. Motion of the object in a direction perpendicular to the ring of detectors pro- duces a set of such slices, which constitute a three-dimensional 3-D rendition of the inside of the object.
Tomography was invented independently by Sir Godfrey N. Hounsfield and Professor Allan M. Cormack, who shared the Nobel Prize in Medicine for their invention. It is interesting to note that X-rays were discov- ered in by Wilhelm Conrad Roentgen, for which he received the Nobel Prize for Physics. These two inventions, nearly years apart, led to some of the most active application areas of image processing today.
From the s until the present, the field of image processing has grown vig- orously. In addition to applications in medicine and the space program, digital image processing techniques now are used in a broad range of applications. Com- puter procedures are used to enhance the contrast or code the intensity levels into color for easier interpretation of X-rays and other images used in industry, medi- cine, and the biological sciences. Geographers use the same or similar techniques to study pollution patterns from aerial and satellite imagery.
Image enhancement and restoration procedures are used to process degraded images of unrecoverable objects or experimental results too expensive to duplicate. In archeology, image processing methods have successfully restored blurred pictures that were the only available records of rare artifacts lost or damaged after being photographed.
In physics and related fields, computer techniques routinely enhance images of ex- periments in areas such as high-energy plasmas and electron microscopy. Similar- ly successful applications of image processing concepts can be found in astronomy, biology, nuclear medicine, law enforcement, defense, and industrial applications. These examples illustrate processing results intended for human interpreta- tion. The second major area of application of digital image processing techniques mentioned at the beginning of this chapter is in solving problems dealing with machine perception.
In this case, interest focuses on procedures for extracting from an image information in a form suitable for computer processing. Often, this information bears little resemblance to visual features that humans use in interpreting the content of an image. Examples of the type of information used in machine perception are statistical moments, Fourier transform coefficients, and multidimensional distance measures. The continuing decline in the ratio of computer price to performance and the expansion of networking and commu- nication bandwidth via the World Wide Web and the Internet have created un- precedented opportunities for continued growth of digital image processing.
Some of these application areas are illustrated in the following section.
We can cover only a few of these appli- cations in the context and space of the current discussion. We show in this section numerous areas of application, each of which routinely uti- lizes the digital image processing techniques developed in the following chap- ters.
Many of the images shown in this section are used later in one or more of the examples given in the book. All images shown are digital. The areas of application of digital image processing are so varied that some form of organization is desirable in attempting to capture the breadth of this field. One of the simplest ways to develop a basic understanding of the extent of image processing applications is to categorize images according to their source e.
The principal energy source for images in use today is the electromagnetic energy spectrum. Other important sources of energy in- clude acoustic, ultrasonic, and electronic in the form of electron beams used in electron microscopy.
Synthetic images, used for modeling and visualization, are generated by computer. In this section we discuss briefly how images are gener- ated in these various categories and the areas in which they are applied.
Meth- ods for converting images into digital form are discussed in the next chapter. Images based on radiation from the EM spectrum are the most familiar, es- pecially images in the X-ray and visual bands of the spectrum.
Electromagnet- ic waves can be conceptualized as propagating sinusoidal waves of varying wavelengths, or they can be thought of as a stream of massless particles, each traveling in a wavelike pattern and moving at the speed of light.
Each massless particle contains a certain amount or bundle of energy. Each bundle of ener- gy is called a photon. If spectral bands are grouped according to energy per photon, we obtain the spectrum shown in Fig. The bands are shown shaded to convey the fact that bands of the EM spectrum are not distinct but rather transition smoothly from one to the other.
In nuclear medicine, the approach is to inject a pa- tient with a radioactive isotope that emits gamma rays as it decays. Images are produced from the emissions collected by gamma ray detectors. Images of this sort are used to locate sites of bone pathology, such as in- fections or tumors.
Images courtesy of a G. Medical Systems, b Dr. Michael E. Wehe, University of Michigan. However, instead of using an external source of X-ray energy, the patient is given a radioactive iso- tope that emits positrons as it decays. When a positron meets an electron, both are annihilated and two gamma rays are given off. These are detected and a to- mographic image is created using the basic principles of tomography. The image shown in Fig.
This image shows a tumor in the brain and one in the lung, easily visible as small white masses. A star in the constellation of Cygnus exploded about 15, years ago, gen- erating a superheated stationary gas cloud known as the Cygnus Loop that glows in a spectacular array of colors.
Unlike the two examples shown in Figs. Finally, Fig.
ISBN 13: 9780201180756
An area of strong radiation is seen in the lower, left side of the image. The best known use of X-rays is medical diagnostics, but they also are used exten- sively in industry and other areas, like astronomy. X-rays for medical and in- dustrial imaging are generated using an X-ray tube, which is a vacuum tube with a cathode and anode.
The cathode is heated, causing free electrons to be released. These electrons flow at high speed to the positively charged anode.
ISBN 13: 9780201180756
When the electrons strike a nucleus, energy is released in the form of X-ray ra- diation. The energy penetrating power of the X-rays is controlled by a volt- age applied across the anode, and the number of X-rays is controlled by a current applied to the filament in the cathode.
The intensity of the X-rays is modified by absorption as they pass through the patient, and the resulting energy falling on the film de- velops it, much in the same way that light develops photographic film. In digi- tal radiography, digital images are obtained by one of two methods: The light signal in turn is captured by a light-sensitive digitizing system. We discuss digitization in detail in Chapter 2. Angiography is another major application in an area called contrast- enhancement radiography.
This procedure is used to obtain images called angiograms of blood vessels. A catheter a small, flexible, hollow tube is in- serted, for example, into an artery or vein in the groin. The catheter is thread- ed into the blood vessel and guided to the area to be studied. When the catheter reaches the site under investigation, an X-ray contrast medium is injected through the catheter. This enhances contrast of the blood vessels and enables the radiologist to see any irregularities or blockages.
The catheter can be seen being inserted into the large blood vessel on the lower left of the picture. Images courtesy of a and c Dr. Pickens, Dept. Thomas R. Joseph E. Pascente, Lixi, Inc. As discussed in Chapter 3, angiography is a major area of digital image processing, where image subtraction is used to en- hance further the blood vessels being studied. Perhaps the best known of all uses of X-rays in medical imaging is comput- erized axial tomography. Due to their resolution and 3-D capabilities, CAT scans revolutionized medicine from the moment they first became available in the early s.
As noted in Section 1. Numerous slices are generated as the patient is moved in a longitudinal direction. The ensemble of such images constitutes a 3-D rendition of the inside of the patient, with the longitudinal resolution being proportional to the number of slice images taken.
Techniques similar to the ones just discussed, but generally involving higher- energy X-rays, are applicable in industrial processes. Such images, representative of lit- erally hundreds of industrial applications of X-rays, are used to examine circuit boards for flaws in manufacturing, such as missing components or broken traces.
Industrial CAT scans are useful when the parts can be penetrated by X-rays, such as in plastic assemblies, and even large bodies, like solid-propellant rock- et motors. This image is the Cygnus Loop of Fig. They include lithography, indus- trial inspection, microscopy, lasers, biological imaging, and astronomical obser- vations. We illustrate imaging in this band with examples from microscopy and astronomy.
Ultraviolet light is used in fluorescence microscopy, one of the fastest grow- ing areas of microscopy. Fluorescence is a phenomenon discovered in the mid- dle of the nineteenth century, when it was first observed that the mineral fluorspar fluoresces when ultraviolet light is directed upon it. The ultraviolet light itself is not visible, but when a photon of ultraviolet radiation collides with an electron in an atom of a fluorescent material, it elevates the electron to a higher energy level.
Subsequently, the excited electron relaxes to a lower level and emits light in the form of a lower-energy photon in the visible red light re- gion. The basic task of the fluorescence microscope is to use an excitation light to irradiate a prepared specimen and then to separate the much weaker radi- ating fluorescent light from the brighter excitation light. Thus, only the emission light reaches the eye or other detector. The resulting fluorescing areas shine against a dark background with sufficient contrast to permit detection.
The darker the background of the nonfluorescing material, the more efficient the instrument. Fluorescence microscopy is an excellent method for studying materials that can be made to fluoresce, either in their natural form primary fluorescence or when treated with chemicals capable of fluorescing secondary fluorescence. Figures 1.
Images courtesy of a and b Dr. Michael W. Corn smut is particularly harmful because corn is one of the principal food sources in the world.
As another illustration, Fig. We consider in the following discussion applications in light microscopy, astronomy, remote sensing, industry, and law enforcement. The examples range from pharmaceuticals and microinspection to materials characterization. Even in just microscopy, the application areas are too numer- ous to detail here. It is not difficult to conceptualize the types of processes one might apply to these images, ranging from enhancement to measurements.
Images cour- tesy of Dr. Davidson, Florida State University. Table 1. The primary function of LANDSAT is to obtain and transmit images of the Earth from space, for purposes of monitoring environmental conditions on the planet. Note the characteristics and uses of each band. In order to develop a basic appreciation for the power of this type of multi- spectral imaging, consider Fig.
The numbers refer to the thematic bands in Table 1. Images courtesy of NASA. Courtesy of NOAA. The area imaged is Washington D. Images of population centers are used routinely over time to assess population growth and shift patterns, pollution, and other factors harm- ful to the environment.
The differences between visual and infrared image fea- tures are quite noticeable in these images. Observe, for example, how well defined the river is from its surroundings in Bands 4 and 5.
Weather observation and prediction also are major applications of multi- spectral imaging from satellites. For example, Fig. The eye of the hurricane is clearly visible in this image. These images are part of the Nighttime Lights of the World data set, which provides a glob- al inventory of human settlements.
The infrared imaging system operates in the band Even without formal training in image process- ing, it is not difficult to imagine writing a computer program that would use these images to estimate the percent of total electrical energy used by various regions of the world.
The small gray map is provided for reference. A major area of imaging in the visual spectrum is in automated visual inspec- tion of manufactured goods. A typical image processing task with products like this is to inspect them for missing parts the black square on the top, right quadrant of the image is an example of a missing component.
The objective here is to have a machine look for miss- ing pills. Detecting anomalies like these is a major theme of industrial inspection that includes other products such as wood and cloth. Most of the other small speckle de- tail is debris.
The objective in this type of inspection is to find damaged or incor- rectly manufactured implants automatically, prior to packaging.
As a final illustration of image processing in the visual spectrum, consider Fig. Images of fingerprints are routinely processed by computer, either to enhance them or to find features that aid in the automated search of a database for potential matches. Applications of digital image processing in this area include automated counting and, in law enforcement, the reading of the serial number for the purpose of tracking and identifying bills.
The two vehicle images shown in Figs. Pete Sites, Perceptics Corporation. The light rectangles indicate the area in which the imaging system detected the plate. The black rectangles show the results of automated reading of the plate content by the system. License plate and other applications of character recog- nition are used extensively for traffic monitoring and surveillance. The unique feature of imaging radar is its ability to collect data over virtually any region at any time, regardless of weather or ambient lighting conditions.
Automated license plate reading. Figure a courtesy of the National Institute of Standards and Technology. Figures c and d courtesy of Dr. Juan Herrera, Perceptics Corporation. An imaging radar works like a flash camera in that it provides its own illumination microwave pulses to il- luminate an area on the ground and take a snapshot image.
Instead of a cam- era lens, a radar uses an antenna and digital computer processing to record its images. In a radar image, one can see only the microwave energy that was re- flected back toward the radar antenna.
In the lower right corner is a wide valley of the Lhasa River, which is populated by Tibetan farmers and yak herders and includes the village of Menba. Mountains in this area reach about m 19, ft above sea level, while the valley floors lie about m 14, ft above sea level.
Note the clarity and detail of the image, unencumbered by clouds or other atmospheric conditions that normally inter- fere with images in the visual band. In medicine radio waves are used in magnetic resonance imaging MRI.
This technique places a patient in a powerful magnet and passes radio waves through his or her body in short pulses. The location from which these signals originate and their strength are determined by a computer, which produces a two-dimensional picture of a section of the patient.
MRI can produce pictures in any plane. The last image to the right in Fig. Also shown for an interesting comparison are images of the same region but taken in most of the bands discussed earlier.
Specifically, we discuss in this section acoustic imaging, electron microscopy, and synthetic computer-generated imaging. Geological applications use sound in the low end of the sound spec- trum hundreds of Hertz while imaging in other areas use ultrasound millions of Hertz. The most important commercial applications of image processing in geology are in mineral and oil exploration.
For image acquisition over land, one of the main approaches is to use a large truck and a large flat steel plate. Image a courtesy of Dr. David R. The strength and speed of the returning sound waves are determined by the composition of the earth below the surface. These are analyzed by computer, and images are generated from the resulting analysis. For marine acquisition, the energy source consists usually of two air guns towed behind a ship.
Returning sound waves are detected by hydrophones placed in cables that are either towed behind the ship, laid on the bottom of the ocean, or hung from buoys vertical cables.
The constant motion of the ship pro- vides a transversal direction of motion that, together with the returning sound waves, is used to generate a 3-D map of the composition of the Earth below the bottom of the ocean.
This target is brighter than the sur- rounding layers because of the change in density in the target region is larger. Courtesy of Dr. Curtis Ober, Sandia National Laboratories. The layers above also are bright, but their brightness does not vary as strongly across the layers. Many seismic reconstruction algorithms have difficulty imaging this tar- get because of the faults above it. Although ultrasound imaging is used routinely in manufacturing, the best known applications of this technique are in medicine, especially in obstetrics, where unborn babies are imaged to determine the health of their development.
A byproduct of this examination is determining the sex of the baby. Ultrasound images are generated using the following basic procedure: The ultrasound system a computer, ultrasound probe consisting of a source and receiver, and a display transmits high-frequency 1 to 5 MHz sound pulses into the body.
The sound waves travel into the body and hit a boundary between tissues e. Some of the sound waves are reflected back to the probe, while some travel on further until they reach another boundary and get reflected. The reflected waves are picked up by the probe and relayed to the computer. The system displays the distances and intensities of the echoes on the screen, forming a two-dimensional image. In a typical ultrasound image, millions of pulses and echoes are sent and re- ceived each second.
The probe can be moved along the surface of the body and angled to obtain various views. We continue the discussion on imaging modalities with some examples of electron microscopy. Electron microscopes function as their optical counter- parts, except that they use a focused beam of electrons instead of light to image a specimen.
The operation of electron microscopes involves the following basic steps: A stream of electrons is produced by an electron source and accelerated toward the specimen using a positive electrical potential. Courtesy of Siemens Medical Systems, Inc.
This beam is focused onto the sample using a mag- netic lens. Interactions occur inside the irradiated sample, affecting the electron beam. These interactions and effects are detected and transformed into an image, much in the same way that light is reflected from, or absorbed by, objects in a scene. These basic steps are carried out in all electron microscopes, re- gardless of type. A transmission electron microscope TEM works much like a slide projec- tor. A projector shines transmits a beam of light through the slide; as the light passes through the slide, it is affected by the contents of the slide.
This trans- mitted beam is then projected onto the viewing screen, forming an enlarged image of the slide. TEMs work the same way, except that they shine a beam of electrons through a specimen analogous to the slide. The fraction of the beam transmitted through the specimen is projected onto a phosphor screen. The in- teraction of the electrons with the phosphor produces light and, therefore, a viewable image. A scanning electron microscope SEM , on the other hand, ac- tually scans the electron beam and records the interaction of beam and sample at each location.
This produces one dot on a phosphor screen. A complete image is formed by a raster scan of the bean through the sample, much like a TV cam- era. The electrons interact with a phosphor screen and produce light. Electron microscopes are capable of very high magnification. The white fibers are oxides re- sulting from thermal destruction. Figure a courtesy of Mr. We conclude the discussion of imaging modalities by looking briefly at im- ages that are not obtained from physical objects.
Instead, they are generated by computer. Fractals are striking examples of computer-generated images Lu .
Basically, a fractal is nothing more than an iterative reproduction of a basic pattern according to some mathematical rules. For instance, tiling is one of the simplest ways to generate a fractal image. A square can be subdivided into four square subregions, each of which can be further subdivided into four small- er square regions, and so on.
Depending on the complexity of the rules for fill- ing each subsquare, some beautiful tile images can be generated using this method. Of course, the geometry can be arbitrary. For instance, the fractal image could be grown radially out of a center point.
The reader will recognize this image as the theme image used in the beginning page of each chapter in this book, selected because of its artis- tic simplicity and abstract analogy to a human eye.
They are useful sometimes as random textures. A more structured approach to image generation by comput- er lies in 3-D modeling.
This is an area that provides an important intersection between image processing and computer graphics and is the basis for many 3-D visualization systems e. Since the original object is created in 3-D, images can be generated in any perspective from plane projections of the 3-D volume.
Images of this type can be used for medical training and for a host of other applications, such as criminal forensics and special effects.
Figures a and b courtesy of Ms. Melissa D. This organization is summarized in Fig. The diagram does not imply that every process is applied to an image.
Rather, the intention is to convey an idea of all the methodologies that can be applied to images for different purposes and possibly with different objectives. The discussion in this section may be viewed as a brief overview of the mater- ial in the remainder of the book. Image acquisition is the first process shown in Fig.
The discussion in Section 1. This topic is considered in much more detail in Chapter 2, where we also introduce a num- ber of basic digital image concepts that are used throughout the book. Note that acquisition could be as simple as being given an image that is already in dig- ital form. Generally, the image acquisition stage involves preprocessing, such as scaling. Image enhancement is among the simplest and most appealing areas of dig- ital image processing. Basically, the idea behind enhancement techniques is to bring out detail that is obscured, or simply to highlight certain features of interest in an image.
Two chapters are de- voted to enhancement, not because it is more important than the other topics covered in the book but because we use enhancement as an avenue to introduce the reader to techniques that are used in other chapters as well. Thus, rather than having a chapter dedicated to mathematical preliminaries, we introduce a number of needed mathematical concepts by showing how they apply to en- hancement.
This approach allows the reader to gain familiarity with these con- cepts in the context of image processing. A good example of this is the Fourier transform, which is introduced in Chapter 4 but is used also in several of the other chapters. Image restoration is an area that also deals with improving the appearance of an image. However, unlike enhancement, which is subjective, image restora- tion is objective, in the sense that restoration techniques tend to be based on mathematical or probabilistic models of image degradation.
Color image processing is an area that has been gaining in importance be- cause of the significant increase in the use of digital images over the Internet. Chapter 5 covers a number of fundamental concepts in color models and basic color processing in a digital domain. Color is used also in later chapters as the basis for extracting features of interest in an image.
Wavelets are the foundation for representing images in various degrees of resolution. In particular, this material is used in this book for image data com- pression and for pyramidal representation, in which images are subdivided suc- cessively into smaller regions.
Al- though storage technology has improved significantly over the past decade, the same cannot be said for transmission capacity. This is true particularly in uses of the Internet, which are characterized by significant pictorial content. Image compression is familiar perhaps inadvertently to most users of computers in the form of image file extensions, such as the jpg file extension used in the JPEG Joint Photographic Experts Group image compression standard.
Morphological processing deals with tools for extracting image components that are useful in the representation and description of shape. The material in this chapter begins a transition from processes that output images to processes that output image attributes, as indicated in Section 1. Segmentation procedures partition an image into its constituent parts or ob- jects.
In general, autonomous segmentation is one of the most difficult tasks in digital image processing. A rugged segmentation procedure brings the process a long way toward successful solution of imaging problems that require objects to be identified individually. On the other hand, weak or erratic segmentation algorithms almost always guarantee eventual failure.
In general, the more ac- curate the segmentation, the more likely recognition is to succeed. Representation and description almost always follow the output of a seg- mentation stage, which usually is raw pixel data, constituting either the bound- ary of a region i.We also note that not all image processing applications require the complexity of interactions implied by Fig.
For example, under this definition, even the trivial task of computing the average intensity of an image which yields a single number would not be considered an image processing op- eration. We can define 4-, 8-, or m-paths de- pending on the type of adjacency specified. The two branches in the curve reflect the fact that at low levels of illumination vision is carried out by activity of the rods, whereas at high levels showing better discrimination vi- sion is the function of cones.
Experimental evidence in- dicates that subjective brightness intensity as perceived by the human visual system is a logarithmic function of the light intensity incident on the eye.
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