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Mathematics Of Shape Description
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Book Synopsis Mathematics of Shape Description by : Pijush K. Ghosh
Download or read book Mathematics of Shape Description written by Pijush K. Ghosh and published by John Wiley & Sons. This book was released on 2009-03-04 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Image processing problems are often not well defined because real images are contaminated with noise and other uncertain factors. In Mathematics of Shape Description, the authors take a mathematical approach to address these problems using the morphological and set-theoretic approach to image processing and computer graphics by presenting a simple shape model using two basic shape operators called Minkowski addition and decomposition. This book is ideal for professional researchers and engineers in Information Processing, Image Measurement, Shape Description, Shape Representation and Computer Graphics. Post-graduate and advanced undergraduate students in pure and applied mathematics, computer sciences, robotics and engineering will also benefit from this book. Key Features Explains the fundamental and advanced relationships between algebraic system and shape description through the set-theoretic approach Promotes interaction of image processing geochronology and mathematics in the field of algebraic geometry Provides a shape description scheme that is a notational system for the shape of objects Offers a thorough and detailed discussion on the mathematical characteristics and significance of the Minkowski operators
Download or read book Shape written by Jordan Ellenberg and published by Penguin. This book was released on 2021-05-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Book Synopsis The Mathematical Description of Shape and Form by : Eric A. Lord
Download or read book The Mathematical Description of Shape and Form written by Eric A. Lord and published by . This book was released on 1984 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Symmetry, Shape and Space by : L.Christine Kinsey
Download or read book Symmetry, Shape and Space written by L.Christine Kinsey and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will appeal to at least three groups of readers: prospective high school teachers, liberal arts students, and parents whose children are studying high school or college math. It is modern in its selection of topics, and in the learning models used by the authors. The book covers some exciting but non-traditional topics from the subject area of geometry. It is also intended for undergraduates and tries to engage their interest in mathematics. Many innovative pedagogical modes are used throughout.
Book Synopsis Shapes in Our World by : Moira Anderson
Download or read book Shapes in Our World written by Moira Anderson and published by Teacher Created Materials. This book was released on 2008-10-10 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three-dimensional (3-D) shapes have three dimensions--length, width, and height. These shapes are solids that are found in buildings and structures as well as in nature. Some 3-D shapes are prisms, cylinders, cones, pyramids, and spheres.
Download or read book Multiplication Word Problems written by and published by Remedia Publications. This book was released on 2006 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Shapes, Space, and Symmetry by : Alan Holden
Download or read book Shapes, Space, and Symmetry written by Alan Holden and published by Courier Corporation. This book was released on 1991-01-01 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains structure of nine regular solids and many semiregular solids and demonstrates how they can be used to explain mathematics. Instructions for cardboard models. Over 300 illustrations. 1971 edition.
Download or read book Shape in Picture written by Ying-Lie O and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fields of image analysis, computer vision, and artificial intelligence all make use of descriptions of shape in grey-level images. Most existing algorithms for the automatic recognition and classification of particular shapes have been devel oped for specific purposes, with the result that these methods are often restricted in their application. The use of advanced and theoretically well-founded math ematical methods should lead to the construction of robust shape descriptors having more general application. Shape description can be regarded as a meeting point of vision research, mathematics, computing science, and the application fields of image analy sis, computer vision, and artificial intelligence. The NATO Advanced Research Workshop "Shape in Picture" was organised with a twofold objective: first, it should provide all participants with an overview of relevant developments in these different disciplines; second, it should stimulate researchers to exchange original results and ideas across the boundaries of these disciplines. This book comprises a widely drawn selection of papers presented at the workshop, and many contributions have been revised to reflect further progress in the field. The focus of this collection is on mathematical approaches to the construction of shape descriptions from grey-level images. The book is divided into five parts, each devoted to a different discipline. Each part contains papers that have tutorial sections; these are intended to assist the reader in becoming acquainted with the variety of approaches to the problem.
Book Synopsis The Shape of Algebra in the Mirrors of Mathematics by : Gabriel Katz
Download or read book The Shape of Algebra in the Mirrors of Mathematics written by Gabriel Katz and published by World Scientific. This book was released on 2012 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Shape of Algebra is the authors' attempt to share their mathematical experiences with readers who have more than a passing interest in mathematics, but have only a traditional exposure to elementary algebra. Secondary school and college teachers and students who want to expand their horizons in the field will find a fresh presentation of familiar concepts and some unexpected results. This book serves as a text for an "appreciation" course in modern mathematics designed for non-mathematics majors or for first-year students who are considering the possibility of studying mathematics or related disciplines. It can also serve as a source of computer-supported activities that could supplement traditional courses in algebra, multivariable calculus, and complex variable. This book gives the reader a sense of the visual nature of mathematics. Mathematical experiments with universal mapping software VisuMatica, designed by Vladimir Nodel'man, form the very core of the book. Readers are encouraged to reproduce, play with, and expand on these experiments. Numerous problems are interspersed throughout the text to guide the reader. Our treatment of standard algebra is visual and computational. By introducing visual computational environments like VisuMatica, our book promotes this geometric approach to algebra and makes it accessible to readers a great deal earlier. The book will enable our readers to approach its content on three levels: the first one which requires only some fluency with elementary algebraic manipulations; the second one which also presumes familiarity with the notions of derivatives and tangent lines to plane curves, and the third one which uses some basic concepts of multivariable calculus. All three levels are clearly marked in the text, and will allow for a smooth reading and virtual experiments, regardless of the level that our readers will find comfortable.
Book Synopsis The Shape of Space by : Jeffrey R. Weeks
Download or read book The Shape of Space written by Jeffrey R. Weeks and published by CRC Press. This book was released on 2001-12-12 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Book Synopsis The Shape of a Life by : Shing-Tung Yau
Download or read book The Shape of a Life written by Shing-Tung Yau and published by Yale University Press. This book was released on 2019-02-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics. “The remarkable story of one of the world’s most accomplished mathematicians . . . Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind’s irrepressible spirit of discovery.” —Brian Greene, New York Times–bestselling author of The Elegant Universe “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.” —The Boston Globe “Engaging, eminently readable. . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.” —American Scientist
Book Synopsis What is Mathematics? by : Richard Courant
Download or read book What is Mathematics? written by Richard Courant and published by Oxford University Press, USA. This book was released on 1996 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.
Book Synopsis Mathematics Of Shapes And Applications by : Sergey Kushnarev
Download or read book Mathematics Of Shapes And Applications written by Sergey Kushnarev and published by World Scientific. This book was released on 2019-11-20 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding how a single shape can incur a complex range of transformations, while defining the same perceptually obvious figure, entails a rich and challenging collection of problems, at the interface between applied mathematics, statistics and computer science. The program on Mathematics of Shapes and Applications, was held at the Institute for Mathematical Sciences at the National University of Singapore in 2016. It provided discussions on theoretical developments and numerous applications in computer vision, object recognition and medical imaging.The analysis of shapes is an example of a mathematical problem directly connected with applications while offering deep open challenges to theoretical mathematicians. It has grown, over the past decades, into an interdisciplinary area in which researchers studying infinite-dimensional Riemannian manifolds (global analysis) interact with applied mathematicians, statisticians, computer scientists and biomedical engineers on a variety of problems involving shapes.The volume illustrates this wealth of subjects by providing new contributions on the metric structure of diffeomorphism groups and shape spaces, recent developments on deterministic and stochastic models of shape evolution, new computational methods manipulating shapes, and new statistical tools to analyze shape datasets. In addition to these contributions, applications of shape analysis to medical imaging and computational anatomy are discussed, leading, in particular, to improved understanding of the impact of cognitive diseases on the geometry of the brain.
Download or read book What's the Use? written by Ian Stewart and published by Basic Books. This book was released on 2021-08-17 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: See the world in a completely new way as an esteemed mathematician shows how math powers the world—from technology to health care and beyond. Almost all of us have sat in a math class, wondering when we'd ever need to know how to find the roots of a polynomial or graph imaginary numbers. And in one sense, we were right: if we needed to, we'd use a computer. But as Ian Stewart argues in What's the Use?, math isn't just about boring computations. Rather, it offers us new and profound insights into our world, allowing us to accomplish feats as significant as space exploration and organ donation. From the trigonometry that keeps a satellite in orbit to the prime numbers used by the world's most advanced security systems to the imaginary numbers that enable augmented reality, math isn't just relevant to our lives. It is the very fabric of our existence.
Book Synopsis Flat Shapes, Solid Shapes by : Lorraine Harrison
Download or read book Flat Shapes, Solid Shapes written by Lorraine Harrison and published by The Rosen Publishing Group, Inc. This book was released on 2013-08-01 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our first encounters with math usually come through shapes. Geometry skills are learned from an early age, and readers build upon those first geometry lessons with topics like describing objects using the names of shapes, identifying both two-dimensional and three-dimensional shapes, and composing shapes. Readers are able to explore these essential concepts independently through accessible text and colorful images of both new and familiar shapes. Common two-dimensional and three-dimensional shapes are introduced in this volume, which adheres to standard K.G.A.3 of the Common Core State Standards for Mathematics. This book should be paired with "Is It Flat or Is It Solid?" (9781477720004) from the InfoMax Math Readers Program to provide the alternative point of view on the same topic.
Book Synopsis Shapes in Our World by : Moira Anderson
Download or read book Shapes in Our World written by Moira Anderson and published by Teacher Created Materials. This book was released on 2008-10-10 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Identify three-dimensional shapes all around the world! This vibrant title gives readers practice identifying familiar shapes like cones, cylinders, pentagons, polygons, and prisms, while familiarizing them with STEM themes and more advanced geometry concepts. Children will learn more about vertices, symmetry, and bases. With each shape, this book gives readers information about an example of the shape, be it a building, a honeycomb, or a tree trunk! With an accessible glossary, clear mathematical diagrams, practical examples, and easy-to-read text, readers will have all the tools they need to improve their geometry skills and find shapes on their own!
Book Synopsis Mathematical Tools for Shape Analysis and Description by : Silvia Biasotti
Download or read book Mathematical Tools for Shape Analysis and Description written by Silvia Biasotti and published by Springer Nature. This book was released on 2022-06-01 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a guide for researchers and practitioners to the new frontiers of 3D shape analysis and the complex mathematical tools most methods rely on. The target reader includes students, researchers and professionals with an undergraduate mathematics background, who wish to understand the mathematics behind shape analysis. The authors begin with a quick review of basic concepts in geometry, topology, differential geometry, and proceed to advanced notions of algebraic topology, always keeping an eye on the application of the theory, through examples of shape analysis methods such as 3D segmentation, correspondence, and retrieval. A number of research solutions in the field come from advances in pure and applied mathematics, as well as from the re-reading of classical theories and their adaptation to the discrete setting. In a world where disciplines (fortunately) have blurred boundaries, the authors believe that this guide will help to bridge the distance between theory and practice. Table of Contents: Acknowledgments / Figure Credits / About this Book / 3D Shape Analysis in a Nutshell / Geometry, Topology, and Shape Representation / Differential Geometry and Shape Analysis / Spectral Methods for Shape Analysis / Maps and Distances between Spaces / Algebraic Topology and Topology Invariants / Differential Topology and Shape Analysis / Reeb Graphs / Morse and Morse-Smale Complexes / Topological Persistence / Beyond Geometry and Topology / Resources / Bibliography / Authors' Biographies
