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Image Processing and Mathematical Morphology: Fundamentals and Applications

by Frank Y. Shih

In the development of digital multimedia, the importance and impact of image processing and mathematical morphology are well documented in areas ranging from automated vision detection and inspection to object recognition, image analysis and pattern recognition. Those working in these ever-evolving fields require a solid grasp of basic fundamentals, theory, and related applications—and few books can provide the unique tools for learning contained in this text. Image Processing and Mathematical Morphology: Fundamentals and Applications is a comprehensive, wide-ranging overview of morphological mechanisms and techniques and their relation to image processing. More than merely a tutorial on vital technical information, the book places this knowledge into a theoretical framework. This helps readers analyze key principles and architectures and then use the author’s novel ideas on implementation of advanced algorithms to formulate a practical and detailed plan to develop and foster their own ideas. The book: Presents the history and state-of-the-art techniques related to image morphological processing, with numerous practical examples Gives readers a clear tutorial on complex technology and other tools that rely on their intuition for a clear understanding of the subject Includes an updated bibliography and useful graphs and illustrations Examines several new algorithms in great detail so that readers can adapt them to derive their own solution approaches This invaluable reference helps readers assess and simplify problems and their essential requirements and complexities, giving them all the necessary data and methodology to master current theoretical developments and applications, as well as create new ones.

Image Processing for Cinema (Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series)

by Marcelo Bertalmio

Image Processing for Cinema presents a detailed overview of image processing techniques that are used in practice in digital cinema. The book shows how image processing has become ubiquitous in movie-making, from shooting to exhibition. It covers all the ways in which image processing algorithms are used to enhance, restore, adapt, and convert movi

Image Processing using Pulse-Coupled Neural Networks: Applications in Python

by Thomas Lindblad Jason M. Kinser

Image processing algorithms based on the mammalian visual cortex are powerful tools for extraction information and manipulating images. This book reviews the neural theory and translates them into digital models. Applications are given in areas of image recognition, foveation, image fusion and information extraction. The third edition reflects renewed international interest in pulse image processing with updated sections presenting several newly developed applications. This edition also introduces a suite of Python scripts that assist readers in replicating results presented in the text and to further develop their own applications.

Image Processing with Cellular Topology

by Vladimir Kovalevsky

This book explains why the finite topological space known as abstract cell complex is important for successful image processing and presents image processing methods based on abstract cell complex, especially for tracing and encoding of boundaries of homogeneous regions. Many examples are provided in the book, some teach you how to trace and encode boundaries in binary, indexed and colour images. Other examples explain how to encode a boundary as a sequence of straight-line segments which is important for shape recognition. A new method of edge detection in two- and three-dimensional images is suggested. Also, a discussion problem is included in the book: A derivative is defined as the limit of the relation of the increment of the function to the increment of the argument as the latter tends to zero. Is it not better to estimate derivatives as the relation of the increment of the function to the optimal increment of the argument instead of taking exceedingly small increment which leads to errors? This book addresses all above questions and provide the answers.

Image Schema Theory and Mathematical Cognition (Mathematics in Mind)

by Marcel Danesi

This book uses blending theory in math cognition, and assesses the main aspect of this theory, called image schema theory. Applied work in math pedagogy has used this theory, but no work has assessed its validity. This book provides an overall assessment of the theory with regard to its validity in the study of math cognition. Overall, this book presents image schema theory as it has evolved today to mathematicians, cognitive scientists, and math educators, deriving from it any concrete implications for modeling math in computer science and, on the other side, for making math pedagogy more effective.

Image Statistics in Visual Computing

by Tania Pouli Erik Reinhard Douglas W. Cunningham

To achieve the complex task of interpreting what we see, our brains rely on statistical regularities and patterns in visual data. Knowledge of these regularities can also be considerably useful in visual computing disciplines, such as computer vision, computer graphics, and image processing. The field of natural image statistics studies the regular

Image-Based Computational Modeling of the Human Circulatory and Pulmonary Systems

by Krishnan B. Chandran Joseph M. Reinhardt H. S. Udaykumar

Image-Based Computational Modeling of the Human Circulatory and Pulmonary Systems provides an overview of the current modeling methods and applications enhancing interventional treatments and computer-aided surgery. A detailed description of the techniques behind image acquisition, processing and three-dimensional reconstruction are included. Techniques for the computational simulation of solid and fluid mechanics and structure interaction are also discussed, in addition to various cardiovascular and pulmonary applications. Engineers and researchers involved with image processing and computational modeling of human organ systems will find this a valuable reference.

Image-Based Prediction of Retinal Disease Progression: MICCAI Challenges, DIAMOND 2024 and MARIO 2024, Held in Conjunction with MICCAI 2024, Marrakesh, Morocco, October 10, 2024, Proceedings (Lecture Notes in Computer Science #15503)

by Gwenolé Quellec Mostafa El Habib Daho Rachid Zeghlache

This book constitutes the proceedings from the MICCAI Challenges, Device-Independent Diabetic Macular Edema Onset Prediction, DIAMOND 2024, and Monitoring Age-Related macular degeneration progression in Optical coherence tomography, MARIO 2024, held in conjunction with the 27th International conference on Medical Image Computing and Computer Assisted Intervention, MICCAI 2024, in Marrakesh, Morocco in October 2024. The 15 papers included in this book from MARIO 2024 were carefully reviewed and selected from 17 submissions, whereas the 6 papers included here from DIAMOND 2024 were carefully reviewed and selected from 8 submissions. These papers focus on a wide range of state-of-the-art deep learning approaches to derive patient specific rules for Diabetic retinopathy (DR) and age-related macular degeneration (AMD) progression prediction from retinal images.

Images and Identities: Puerto Rican in Two World Contexts

by Asela Rodriguez Laguna

First published in 1987. Routledge is an imprint of Taylor & Francis.

Imagine Math

by Michele Emmer

Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. This book is intended to contribute to grasping how much that is interesting and new is happening in the relationships between mathematics, imagination and culture. With a look at the past, at figures and events, that help to understand the phenomena of today. It is no coincidence that this volume contains an homage to the great Italian artist of the 1700s, Andrea Pozzo, and his perspective views. Theatre, art and architecture are the topics of choice, along with music, literature and cinema. No less important are applications of mathematics to medicine and economics. The treatment is rigorous but captivating, detailed but full of evocations, an all-embracing look at the world of mathematics and culture

Imagine Math 6: Between Culture And Mathematics

by Michele Emmer Marco Abate

Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine combining music, art, poetry, literature, architecture and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. Imagination and mathematics, imagination and culture, culture and mathematics.This sixth volume in the series begins with a homage to the architect Zaha Hadid, who died on March 31st, 2016, a few weeks before the opening of a large exhibition of her works in Palazzo Franchetti in Venice, where all the Mathematics and Culture conferences have taken place in the last years. A large section of the book is dedicated to literature, narrative and mathematics including a contribution from Simon Singh. It discusses the role of media in mathematics, including museums of science, journals and movies. Mathematics and applications, including blood circulation and preventing crimes using earthquakes, is also addressed, while a section on mathematics and art examines the role of math in design. A large selection presents photos of mathematicians and mathematical objects by Vincent Moncorge. Discussing all topics in a way that is rigorous but captivating, detailed but full of evocations, it offers an all-embracing look at the world of mathematics and culture.

Imagine Math 8: Dreaming Venice

by Michele Emmer Marco Abate

This eighth volume of Imagine Math is different from all the previous ones. The reason is very clear: in the last two years, the world changed, and we still do not know what the world of tomorrow will look like. Difficult to make predictions. This volume has a subtitle Dreaming Venice. Venice, the dream city of dreams, that miraculous image of a city on water that resisted for hundreds of years, has become in the last two years truly unreachable. Many things tie this book to the previous ones. Once again, this volume also starts like Imagine Math 7, with a homage to the Italian artist Mimmo Paladino who created exclusively for the Imagine Math 8 volume a new series of ten original and unique works of art dedicated to Piero della Francesca. Many artists, art historians, designers and musicians are involved in the new book, including Linda D. Henderson and Marco Pierini, Claudio Ambrosini and Davide Amodio. Space also for comics and mathematics in a Disney key. Many applications, from Origami to mathematical models for world hunger. Particular attention to classical and modern architecture, with Tullia Iori.As usual, the topics are treated in a way that is rigorous but captivating, detailed and full of evocations. This is an all-embracing look at the world of mathematics and culture.

Imaging Heat and Mass Transfer Processes

by Krishnamurthy Muralidhar Pradipta Kumar Panigrahi

Imaging Heat and Mass Transfer Processes: Visualization and Analysis applies Schlieren and shadowgraph techniques to complex heat and mass transfer processes. Several applications are considered where thermal and concentration fields play a central role. These include vortex shedding and suppression from stationary and oscillating bluff bodies such as cylinders, convection around crystals growing from solution, and buoyant jets. Many of these processes are unsteady and three dimensional. The interpretation and analysis of images recorded are discussed in the text.

Imaging the Cheops Pyramid

by H. D. Bui

In this book Egyptian Archeology and Mathematics meet. The author is an expert in theories and applications in Solid Mechanics and Inverse Problems, a former professor at Ecole Polytechnique and now works with Electricité de France on maintenance operations on nuclear power plants. In the Autumn of 1986, after the end of the operation on the King's chamber conducted under the Technological and Scientific Sponsorship of EDF, to locate a cavity, he was called to solve a mathematical inverse problem, to find the unknown tomb of the King and the density structure of the whole pyramid based on measurements of microgravity made inside and outside of the pyramid. This book recounts the various search operations on the pyramid of Cheops made at the request of the Egyptian and French authorities in 1986-1987. After the premature end of the Cheops operation in the Autumn of 1986, following the fiasco of unsuccessful drillings in the area suspected by both architects G. Dormion and J.P. Goidin and microgravity auscultation, EDF and CPGF (a geophysical company) teams continued their researches with measurements already made, trying this time an inversion of the Newton gravity equation for the entire pyramid and using another theoretical team led by the author. The inverse problem solution confirmed the results of auscultations, but found no cavity. However, the image of the average density at the surface of the entire pyramid forms a sort of square "spiral" probably related to the construction method. In 2000, Jean-Pierre Houdin considered the author's results of 1988 as a confirmation of his theory of the internal ramp tunnel. Since then the author has done additional research and found that classical theories of the construction based on degrees and the particular mode of stones filling can also report the same densitogram. The book is richly illustrated with color figures. It is dotted with information concerning Physics, Mechanics and the History of Egyptian Antiquities. The book ends with the greatest mystery of the pyramid about the unknown tomb of the King and a dream to see the tomb at an unexpected place.

Imaging, Vision and Learning Based on Optimization and PDEs: IVLOPDE, Bergen, Norway, August 29 – September 2, 2016 (Mathematics and Visualization)

by Xue-Cheng Tai Egil Bae Marius Lysaker

This volume presents the peer-reviewed proceedings of the international conference Imaging, Vision and Learning Based on Optimization and PDEs (IVLOPDE), held in Bergen, Norway, in August/September 2016. The contributions cover state-of-the-art research on mathematical techniques for image processing, computer vision and machine learning based on optimization and partial differential equations (PDEs). It has become an established paradigm to formulate problems within image processing and computer vision as PDEs, variational problems or finite dimensional optimization problems. This compact yet expressive framework makes it possible to incorporate a range of desired properties of the solutions and to design algorithms based on well-founded mathematical theory. A growing body of research has also approached more general problems within data analysis and machine learning from the same perspective, and demonstrated the advantages over earlier, more established algorithms. This volume will appeal to all mathematicians and computer scientists interested in novel techniques and analytical results for optimization, variational models and PDEs, together with experimental results on applications ranging from early image formation to high-level image and data analysis.

Imagining Numbers: (particularly The Square Root Of Minus Fifteen)

by Barry Mazur

How the elusive imaginary number was first imagined, and how to imagine it yourselfImagining Numbers (particularly the square root of minus fifteen) is Barry Mazur's invitation to those who take delight in the imaginative work of reading poetry, but may have no background in math, to make a leap of the imagination in mathematics. Imaginary numbers entered into mathematics in sixteenth-century Italy and were used with immediate success, but nevertheless presented an intriguing challenge to the imagination. It took more than two hundred years for mathematicians to discover a satisfactory way of "imagining" these numbers. With discussions about how we comprehend ideas both in poetry and in mathematics, Mazur reviews some of the writings of the earliest explorers of these elusive figures, such as Rafael Bombelli, an engineer who spent most of his life draining the swamps of Tuscany and who in his spare moments composed his great treatise "L'Algebra". Mazur encourages his readers to share the early bafflement of these Renaissance thinkers. Then he shows us, step by step, how to begin imagining, ourselves, imaginary numbers.

Imitation Market Modeling in Digital Economy: Game Theoretic Approaches (Lecture Notes in Networks and Systems #368)

by Elena G. Popkova

This book includes the best studies on the results of the International Scientific and Practical Conference “New behaviors of market players in the digital economy,” which was held by the Institute of Scientific Communications on July 8, 2021, online, in YouTube format. This book is devoted to the study of digital economy markets from the standpoint of various market players—society (consumers), entrepreneurship, and the state—from the standpoint of various sciences—economic, managerial, social, and legal—which ensures the multidisciplinarity of the book. The uniqueness of the book lies in the application of a new scientific and methodological approach to the study of digital economy markets—simulation modeling. The advantages of a game-based scientific and methodological approach to reducing the uncertainty of economic processes and systems—a combination of quantitative and qualitative analytical methods, a systematic consideration of economic processes and systems from a socio-economic point of view—make it especially suitable for studying digital economy markets. The book identifies the impact of globalization and digitalization on the modern economy and industry markets. The trends and features of the use of advanced technologies in the digital economy markets are studied. The modern practices of business management and business integration in the digital economy are considered. The foundations of economic security and sustainable development of markets and enterprises in the digital economy are revealed. The book is suitable for scientists studying the markets of the digital economy, who will find in it scientific and methodological recommendations and developments on the application of game theory, as well as ready simulation models of the digital economy markets.

Immanent Reasoning or Equality in Action: A Plaidoyer For The Play Level (Logic, Argumentation And Reasoning Ser. #18)

by Shahid Rahman Nicolas Clerbout Zoe McConaughey Ansten Klev

This monograph proposes a new way of implementing interaction in logic. It also provides an elementary introduction to Constructive Type Theory (CTT). The authors equally emphasize basic ideas and finer technical details. In addition, many worked out exercises and examples will help readers to better understand the concepts under discussion.One of the chief ideas animating this study is that the dialogical understanding of definitional equality and its execution provide both a simple and a direct way of implementing the CTT approach within a game-theoretical conception of meaning. In addition, the importance of the play level over the strategy level is stressed, binding together the matter of execution with that of equality and the finitary perspective on games constituting meaning.According to this perspective the emergence of concepts are not only games of giving and asking for reasons (games involving Why-questions), they are also games that include moves establishing how it is that the reasons brought forward accomplish their explicative task. Thus, immanent reasoning games are dialogical games of Why and How.

Immersed Boundary Method: Development and Applications (Computational Methods in Engineering & the Sciences)

by Ashoke De Somnath Roy Elias Balaras

This volume presents the emerging applications of immersed boundary (IB) methods in computational mechanics and complex CFD calculations. It discusses formulations of different IB implementations and also demonstrates applications of these methods in a wide range of problems. It will be of special value to researchers and engineers as well as graduate students working on immersed boundary methods, specifically on recent developments and applications. The book can also be used as a supplementary textbook in advanced courses in computational fluid dynamics.

Immersions in Warped Product Spaces (Frontiers in Mathematics)

by Henrique Fernandes de Lima Giovanni Molica Bisci Marco Antonio Velásquez

This book offers a detailed exploration of the intrinsic geometrical properties of warped product spaces through the lens of mathematical analysis and global differential geometry. It touches upon key topics such as uniqueness results, height estimates, Riemannian immersions, and the geometrical behavior of submanifolds, while addressing complex phenomena that challenge traditional Euclidean assumptions. Divided into five comprehensive parts, the text provides clear refinements of recent findings, with connections to General Relativity and semi-Riemannian geometry. Accessible yet thorough, this monograph is ideal for post-graduate students, researchers, and specialists across mathematics, geometry, and theoretical physics.

Immigrant America: A Portrait

by Prof. Alejandro Portes Prof. Rubén G. Rumbaut

This revised and updated fifth edition of Immigrant America: A Portrait provides a comprehensive and current overview of immigration to the United States, including its history, the principal theories seeking to account for its diverse origins, the main types of immigrants, and the various forms of immigrants' incorporation within American society. With the latest available data, Immigrant America further explores the economic, political, regional, linguistic, and religious aspects of immigration. It offers detailed analyses of the adaptation process experienced by adult children of immigrants and adds an updated and expanded concluding chapter on changing immigration policy regimes both past and present.

Immigrants and Boomers: Forging a New Social Contract for the Future of America

by Dowell Myers

“This story of hope for both immigrants and native-born Americans is a well-researched, insightful, and illuminating study that provides compelling evidence to support a policy of homegrown human investment as a new priority. A timely, valuable addition to demographic and immigration studies. Highly recommended.” —Choice Virtually unnoticed in the contentious national debate over immigration is the significant demographic change about to occur as the first wave of the Baby Boom generation retires, slowly draining the workforce and straining the federal budget to the breaking point. In this forward-looking new book, noted demographer Dowell Myers proposes a new way of thinking about the influx of immigrants and the impending retirement of the Baby Boomers. Myers argues that each of these two powerful demographic shifts may hold the keys to resolving the problems presented by the other. Immigrants and Boomers looks to California as a bellwether state—where whites are no longer a majority of the population and represent just a third of residents under age twenty—to afford us a glimpse into the future impact of immigration on the rest of the nation. Myers opens with an examination of the roots of voter resistance to providing social services for immigrants. Drawing on detailed census data, Myers demonstrates that long-established immigrants have been far more successful than the public believes. Among the Latinos who make up the bulk of California’s immigrant population, those who have lived in California for over a decade show high levels of social mobility and use of English, and 50 percent of Latino immigrants become homeowners after twenty years. The impressive progress made by immigrant families suggests they have the potential to pick up the slack from aging boomers over the next two decades. The mass retirement of the boomers will leave critical shortages in the educated workforce, while shrinking ranks of middle-class tax payers and driving up entitlement expenditures. In addition, as retirees sell off their housing assets, the prospect of a generational collapse in housing prices looms. Myers suggests that it is in the boomers’ best interest to invest in the education and integration of immigrants and their children today in order to bolster the ranks of workers, taxpayers, and homeowners America they will depend on ten and twenty years from now. In this compelling, optimistic book, Myers calls for a new social contract between the older and younger generations, based on their mutual interests and the moral responsibility of each generation to provide for children and the elderly. Combining a rich scholarly perspective with keen insight into contemporary political dilemmas, Immigrants and Boomers creates a new framework for understanding the demographic challenges facing America and forging a national consensus to address them.

Immigrants in Regional Labour Markets of Host Nations

by Syed Ather Akbari

This book is the first to present a detailed analysis of economic integration of immigrants in smaller areas of their host nations. It uses Atlantic Canada as a case in point and uses unpublished data based on several databases of Statistics Canada and Citizenship and Immigration, Canada. It identifies best policy practices that can also be used in other countries to address demographic challenges similar to those facing Canada, for example population ageing and youth out-migration from smaller regions to larger regions, through immigration. Economic integration of immigrants in Atlantic Canada is faster and better than it is nationally. An overarching result is that an analysis of regional data can lead to very different policy conclusions than the analysis of national data, which means that it can be risky to devise immigration policy based only on national data. A clear message is that economic benefits from immigration can be enhanced by facilitating a broader geographic distribution of immigrants, rather than maintaining their concentration in a few larger urban regions. A must read for immigration and population policy makers, immigrant settlement agencies and academic researchers.

Immigration and the Remaking of Black America

by Douglas S. Massey Tod G. Hamilton

Over the last four decades, immigration from the Caribbean and sub-Saharan Africa to the U. S. has increased rapidly. In several states, African immigrants are now major drivers of growth in the black population. While social scientists and commentators have noted that these black immigrants’ social and economic outcomes often differ from those of their native-born counterparts, few studies have carefully analyzed the mechanisms that produce these disparities. In Immigration and the Remaking of Black America, sociologist and demographer Tod Hamilton shows how immigration is reshaping black America. He weaves together interdisciplinary scholarship with new data to enhance our understanding of the causes of socioeconomic stratification among both the native-born and newcomers. Hamilton demonstrates that immigration from the Caribbean and sub-Saharan Africa is driven by selective migration, meaning that newcomers from these countries tend to have higher educational attainment than those who stay behind. As a result, they arrive in the U.S. with some advantages over native-born blacks, and, in some cases, over whites. He also shows the importance of historical context: prior to the Civil Rights Movement, black immigrants’ socioeconomic outcomes resembled native-born blacks’ much more closely, regardless of their educational attainment in their country of origin. Today, however, certain groups of black immigrants have better outcomes than native-born black Americans—such as lower unemployment rates and higher rates of homeownership—in part because they immigrated at a time of expanding opportunities for minorities and women in general. Hamilton further finds that rates of marriage and labor force participation among native-born blacks that move away from their birth states resemble those of many black immigrants, suggesting that some disparities within the black population stem from processes associated with migration, rather than from nativity alone. Hamilton argues that failing to account for this diversity among the black population can lead to incorrect estimates of the social progress made by black Americans and the persistence of racism and discrimination. He calls for future research on racial inequality to disaggregate different black populations. By richly detailing the changing nature of black America, Immigration and the Remaking of Black America helps scholars and policymakers to better understand the complexity of racial disparities in the twenty-first century.

Immigration in the Court of Public Opinion (Immigration and Society)

by Matthew Wright Jack Citrin Morris S. Levy

What does a nation of immigrants think and feel about immigration? Recent accounts of immigration policy routinely cast Americans as divided into two warring camps – one fueled by threat to livelihoods and way of life, the other by a fervent cosmopolitanism that sees the nation-state as passé. This counter-intuitive book shows that these accounts miss the mark. First, almost all Americans hold a mix of ""pro-"" and ""anti-immigrant"" opinions. Their views are pragmatic and flexible rather than dead-set. Second, opinions about immigration are more powerfully influenced by liberal values and concerns about the well-being of American society as a whole than by identity politics. Third, the assimilation Americans demand from immigrants matches patterns of integration that Hispanic and Asian immigrants overwhelmingly follow. Finally, American attitudes toward immigrants are ""exceptional"" for their openness and respect for cultural pluralism. In Citrin, Levy, and Wright's view, long-elusive comprehensive immigration reform can win in the court of public opinion – but only if leaders heed their constituents rather than the polarized activists who claim to speak on their behalf. This expert analysis rethinks the role of public opinion in immigration matters: its insights will be welcomed by all interested in immigration debates and public policy.

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