Search Results for "geometry-perspective-drawing-and-mechanisms"

Geometry, Perspective Drawing, and Mechanisms

Geometry, Perspective Drawing, and Mechanisms

  • Author: Don Row,Talmage James Reid
  • Publisher: World Scientific
  • ISBN: 981434382X
  • Category: Mathematics
  • Page: 328
  • View: 2902
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The aim of this book is to examine the geometry of our world and, by blending theory with a variety of every-day examples, to stimulate the imagination of the readers and develop their geometric intuition. It tries to recapture the excitement that surrounded geometry during the Renaissance as the development of perspective drawing gathered pace, or more recently as engineers sought to show that all the world was a machine. The same excitement is here still, as enquiring minds today puzzle over a random-dot stereogram or the interpretation of an image painstakingly transmitted from Jupiter. The book will give a solid foundation for a variety of undergraduate courses, to provide a basis for a geometric component of graduate teacher training, and to provide background for those who work in computer graphics and scene analysis. It begins with a self-contained development of the geometry of extended Euclidean space. This framework is then used to systematically clarify and develop the art of perspective drawing and its converse discipline of scene analysis and to analyze the behavior of bar-and-joint mechanisms and hinged-panel mechanisms. Spherical polyhedra are introduced and scene analysis is applied to drawings of these and associated objects. The book concludes by showing how a natural relaxation of the axioms developed in the early chapters leads to the concept of a matroid and briefly examines some of the attractive properties of these natural structures.

An Introduction to Perspective, Practical Geometry, Drawing and Painting ... The fifth edition

An Introduction to Perspective, Practical Geometry, Drawing and Painting ... The fifth edition

  • Author: Charles Hayter
  • Publisher: N.A
  • ISBN: N.A
  • Category:
  • Page: 276
  • View: 7121
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Distinguished Figures in Descriptive Geometry and Its Applications for Mechanism Science

Distinguished Figures in Descriptive Geometry and Its Applications for Mechanism Science

From the Middle Ages to the 17th Century

  • Author: Michela Cigola
  • Publisher: Springer
  • ISBN: 3319201972
  • Category: Technology & Engineering
  • Page: 248
  • View: 2657
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This book consists of chapters that focus specifically on single figures that worked on Descriptive Geometry and also in Mechanisms Sciences and contain biographical notes, a survey of their work and their achievements, together with a modern interpretation of their legacy. Since Vitruvius in ancient times, and with Brunelleschi in the Renaissance, the two disciplines began to share a common direction which, over the centuries, took shape through less well-known figures until the more recent times in which Gaspard Monge worked. Over the years, a gap has been created between Descriptive Geometry and Mechanism Science, which now appear to belong to different worlds. In reality, however, there is a very close relationship between the two disciplines, with a link based on extremely solid foundations. Without the theoretical foundations of Geometry it would not be possible to draw and design mechanical parts such as gears, while in Kinematics it would be less easy to design and predict the reciprocal movements of parts in a complex mechanical assembly.

An Introduction to Perspective, Drawing and Painting ... Second edition ... enlarged and improved

An Introduction to Perspective, Drawing and Painting ... Second edition ... enlarged and improved

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category:
  • Page: N.A
  • View: 9573
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Practical Geometry, Perspective, and Engineering Drawing

Practical Geometry, Perspective, and Engineering Drawing

  • Author: George Sydenham Clarke Baron Sydenham of Combe
  • Publisher: N.A
  • ISBN: N.A
  • Category: Geometrical drawing
  • Page: N.A
  • View: 7190
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The Orientation of Buildings or Planning for Sunlight

The Orientation of Buildings or Planning for Sunlight

  • Author: William Atkinson
  • Publisher: Рипол Классик
  • ISBN: 5874642900
  • Category: History
  • Page: N.A
  • View: 5057
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Picturing Space, Displacing Bodies

Picturing Space, Displacing Bodies

Anamorphosis in Early Modern Theories of Perspective

  • Author: Lyle Massey
  • Publisher: Penn State Press
  • ISBN: 0271029803
  • Category: Art
  • Page: 175
  • View: 2889
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In Picturing Space, Displacing Bodies, Lyle Massey argues that we can only learn how and why certain kinds of spatial representation prevailed over others by carefully considering how Renaissance artists and theorists interpreted perspective. Combining detailed historical studies with broad theoretical and philosophical investigations, this book challenges basic assumptions about the way early modern artists and theorists represented their relationship to the visible world and how they understood these representations. By analyzing technical feats such as anamorphosis (the perspectival distortion of an object to make it viewable only from a certain angle), drawing machines, and printed diagrams, each chapter highlights the moments when perspective theorists failed to unite a singular, ideal viewpoint with the artist&’s or viewer&’s viewpoint or were unsuccessful at conjoining fictive and lived space.Showing how these &“failures&” were subsequently incorporated rather than rejected by perspective theorists, the book presents an important reassessment of the standard view of Renaissance perspective. While many scholars have maintained that perspective rationalized the relationships among optics, space, and painting, Picturing Space, Displacing Bodies asserts instead that Renaissance and early modern theorists often revealed a disjunction between geometrical ideals and practical applications. In some cases, they not only identified but also exploited these discrepancies. This discussion of perspective shows that the painter&’s geometry did not always conform to the explicitly rational, Cartesian formula that so many have assumed, nor did it historically unfold according to a standard account of scientific development.

The Geometry of an Art

The Geometry of an Art

The History of the Mathematical Theory of Perspective from Alberti to Monge

  • Author: Kirsti Andersen
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387489469
  • Category: Mathematics
  • Page: 814
  • View: 1199
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This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.

Leon Battista Alberti: On Painting

Leon Battista Alberti: On Painting

A New Translation and Critical Edition

  • Author: Leon Battista Alberti,Rocco Sinisgalli
  • Publisher: Cambridge University Press
  • ISBN: 1107000629
  • Category: Art
  • Page: 214
  • View: 7633
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In this volume Rocco Sinisgalli presents a new English translation and critical examination of Alberti's seminal text.

Mechanism, Mentalism and Metamathematics

Mechanism, Mentalism and Metamathematics

An Essay on Finitism

  • Author: J. Webb
  • Publisher: Springer Science & Business Media
  • ISBN: 940157653X
  • Category: Philosophy
  • Page: 285
  • View: 6810
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This book grew out of a graduate student paper [261] in which I set down some criticisms of J. R. Lucas' attempt to refute mechanism by means of G6del's theorem. I had made several such abortive attempts myself and had become familiar with their pitfalls, and especially with the double edged nature of incompleteness arguments. My original idea was to model the refutation of mechanism on the almost universally accepted G6delian refutation of Hilbert's formalism, but I kept getting stuck on questions of mathematical philosophy which I found myself having to beg. A thorough study of the foundational works of Hilbert and Bernays finally convinced me that I had all too naively and uncritically bought this refutation of formalism. I did indeed discover points of surprisingly close contact between formalism and mechanism, but also that it was possible to under mine certain strong arguments against these positions precisely by invok ing G6del's and related work. I also began to realize that the Church Turing thesis itself is the principal bastion protecting mechanism, and that G6del's work was perhaps the best thing that ever happened to both mechanism and formalism. I pushed these lines of argument in my dis sertation with the patient help of my readers, Raymond Nelson and Howard Stein. I would especially like to thank the latter for many valuable criticisms of my dissertation as well as some helpful suggestions for reor ganizing it in the direction of the present book.

Experiencing Geometry

Experiencing Geometry

Euclidean and Non-Euclidean with History

  • Author: David Wilson Henderson,Daina Taimina
  • Publisher: Prentice Hall
  • ISBN: N.A
  • Category: Mathematics
  • Page: 392
  • View: 2803
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The distinctive approach of Henderson and Taimina's volume stimulates readers to develop a broader, deeper, understanding of mathematics through active experience—including discovery, discussion, writing fundamental ideas and learning about the history of those ideas. A series of interesting, challenging problems encourage readers to gather and discuss their reasonings and understanding. The volume provides an understanding of the possible shapes of the physical universe. The authors provide extensive information on historical strands of geometry, straightness on cylinders and cones and hyperbolic planes, triangles and congruencies, area and holonomy, parallel transport, SSS, ASS, SAA, and AAA, parallel postulates, isometries and patterns, dissection theory, square roots, pythagoras and similar triangles, projections of a sphere onto a plane, inversions in circles, projections (models) of hyperbolic planes, trigonometry and duality, 3-spheres and hyperbolic 3-spaces and polyhedra. For mathematics educators and other who need to understand the meaning of geometry.

Molecular Biology of the Cell

Molecular Biology of the Cell

  • Author: Bruce Alberts
  • Publisher: Garland Science
  • ISBN: 1317563743
  • Category: Science
  • Page: 1464
  • View: 9997
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As the amount of information in biology expands dramatically, it becomes increasingly important for textbooks to distill the vast amount of scientific knowledge into concise principles and enduring concepts.As with previous editions, Molecular Biology of the Cell, Sixth Edition accomplishes this goal with clear writing and beautiful illustrations. The Sixth Edition has been extensively revised and updated with the latest research in the field of cell biology, and it provides an exceptional framework for teaching and learning. The entire illustration program has been greatly enhanced.Protein structures better illustrate structure–function relationships, icons are simpler and more consistent within and between chapters, and micrographs have been refreshed and updated with newer, clearer, or better images. As a new feature, each chapter now contains intriguing openended questions highlighting “What We Don’t Know,” introducing students to challenging areas of future research. Updated end-of-chapter problems reflect new research discussed in the text, and these problems have been expanded to all chapters by adding questions on developmental biology, tissues and stem cells, pathogens, and the immune system.

Mathematical Illustrations

Mathematical Illustrations

A Manual of Geometry and PostScript

  • Author: Bill Casselman
  • Publisher: Cambridge University Press
  • ISBN: 9780521839211
  • Category: Computers
  • Page: 318
  • View: 4849
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This practical introduction to the techniques needed to produce mathematical illustrations of high quality is suitable for anyone with a modest acquaintance with coordinate geometry. The author combines a completely self-contained step-by-step introduction to the graphics programming language PostScript with advice on what goes into good mathematical illustrations, chapters showing how good graphics can be used to explain mathematics, and a treatment of all the mathematics needed to make such illustrations. The many small simple graphics projects can also be used in courses in geometry, graphics, or general mathematics. Code for many of the illustrations is included, and can be downloaded from the book's web site: www.math.ubc.ca/~cass/graphics/manualMathematicians; scientists, engineers, and even graphic designers seeking help in creating technical illustrations need look no further.

Perceptions: Mechanisms and Models

Perceptions: Mechanisms and Models

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Perception
  • Page: 390
  • View: 5320
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Perspective as Symbolic Form

Perspective as Symbolic Form

  • Author: Erwin Panofsky,Christopher S. Wood
  • Publisher: N.A
  • ISBN: 9780942299533
  • Category: Art
  • Page: 196
  • View: 5904
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A historical and philosophical exploration of perspective draws on theology, science, philosophy, and optics, as well as the history of art.

Machine Interpretation of Line Drawings

Machine Interpretation of Line Drawings

  • Author: Kōkichi Sugihara
  • Publisher: Mit Press
  • ISBN: N.A
  • Category: Computer vision
  • Page: 233
  • View: 5610
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This book solves a long-standing problem in computer vision, the interpretation of line drawings and, in doing so answers many of the concerns raised by this problem, particularly with regard to errors in the placement of lines and vertices in the images. Sugihara presents a computational mechanism that functionally mimics human perception in being able to generate three-dimensional descriptions of objects from two-dimensional line drawings. The objects considered are polyhedrons or solid objects bounded by planar faces, and the line drawings are single-view pictures of these objects. Sugihara's mechanism has several potential applications. It can facilitate man-machine communication by extracting object structures automatically from pictures drawn by a designer, which can be particularly useful in the computer-aided design of geometric objects, such as mechanical parts and buildings. It can also be used in the intermediate stage of computer vision systems used to obtain and analyze images in the outside world. The computational mechanism itself is not accompanied by a large database but is composed of several simple procedures based on linear algebra and combinatorial theory. Contents:Introduction. Candidates for Spatial Interpretation. Discrimination between Correct and Incorrect Pictures. Correctness of HiddenPart-Drawn Pictures. Algebraic Structures of Line Drawings. Combinatorial Structures of Line Drawings. Overcoming Superstrictness. Algorithmic Aspects of Generic Reconstructibility. Specification of Unique Shapes. Recovery of Shape from Surface Information. Polyhedrons and Rigidity. Kokichi Sugihara is Professor in the Department of Mathematical Engineering and instrumentation Physics, Faculty of Engineering, the University of Tokyo, Tokyo, Japan. Machine interpretation of Line Drawingsis included in The MIT Press Series in Artificial Intelligence, edited by Patrick Henry Winston and Michael Brady.

Geometric and Engineering Drawing

Geometric and Engineering Drawing

  • Author: Ken Morling
  • Publisher: Routledge
  • ISBN: 0415536197
  • Category: Technology & Engineering
  • Page: 360
  • View: 5383
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For all students and lecturers of basic engineering and technical drawing The new edition of this successful text describes all the geometric instructions and engineering drawing information, likely to be needed by anyone preparing or interpreting drawings or designs. There are also plenty of exercises to practise these principles.

Machine Drawing

Machine Drawing

  • Author: K. L. Narayana,P. Kannaiah,K. Venkata Reddy
  • Publisher: New Age International
  • ISBN: 8122419178
  • Category: Machine design
  • Page: 476
  • View: 3752
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About the Book: Written by three distinguished authors with ample academic and teaching experience, this textbook, meant for diploma and degree students of Mechanical Engineering as well as those preparing for AMIE examination, incorporates the latest st

Computer Vision

Computer Vision

Algorithms and Applications

  • Author: Richard Szeliski
  • Publisher: Springer Science & Business Media
  • ISBN: 9781848829350
  • Category: Computers
  • Page: 812
  • View: 5959
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Computer Vision: Algorithms and Applications explores the variety of techniques commonly used to analyze and interpret images. It also describes challenging real-world applications where vision is being successfully used, both for specialized applications such as medical imaging, and for fun, consumer-level tasks such as image editing and stitching, which students can apply to their own personal photos and videos. More than just a source of “recipes,” this exceptionally authoritative and comprehensive textbook/reference also takes a scientific approach to basic vision problems, formulating physical models of the imaging process before inverting them to produce descriptions of a scene. These problems are also analyzed using statistical models and solved using rigorous engineering techniques. Topics and features: structured to support active curricula and project-oriented courses, with tips in the Introduction for using the book in a variety of customized courses; presents exercises at the end of each chapter with a heavy emphasis on testing algorithms and containing numerous suggestions for small mid-term projects; provides additional material and more detailed mathematical topics in the Appendices, which cover linear algebra, numerical techniques, and Bayesian estimation theory; suggests additional reading at the end of each chapter, including the latest research in each sub-field, in addition to a full Bibliography at the end of the book; supplies supplementary course material for students at the associated website, http://szeliski.org/Book/. Suitable for an upper-level undergraduate or graduate-level course in computer science or engineering, this textbook focuses on basic techniques that work under real-world conditions and encourages students to push their creative boundaries. Its design and exposition also make it eminently suitable as a unique reference to the fundamental techniques and current research literature in computer vision.

Engineering Drawing and Design

Engineering Drawing and Design

  • Author: David A. Madsen
  • Publisher: Arden Shakespeare
  • ISBN: N.A
  • Category: Engineering design
  • Page: 960
  • View: 3896
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Offering complete coverage of all the elements of drafting, this second edition remains the most up-to-date compendium on engineering drawing and design available. Based on the latest ANSI/ASME standards, this encyclopedic resource spans the engineering disciplines, including fluid power, structural, civil, electrical, piping, and HVAC/sheet metal. Includes updated CADD applications. 1,400 illus.