Coloring Geometric Images

Author: Sympsionics Design

Publisher: N.A

ISBN: 9789526821702

Category:

Page: 48

View: 8127

This full colored book contains numerous instructions and illustrated examples of colored pencil techniques that are useful when coloring geometric images. It also includes instructions on how to draw three pictures for coloring. In addition, you will find blue outlines of captivating, three-dimensional geometric shapes for coloring. You can use these as models for drawing the same shapes on your own paper. Included are an octahedron inside a cuboctahedron, a great stellated dodecahedron from two angles, three intersecting planes, a dodecahedron inside an icosahedron, an icosahedron inside a dodecahedron, a transparent rhombic dodecahedron and a small stellated dodecahedron from two angles. Each of these shapes is presented twice, with the first one already colored to help you visualize its form.

Engineering Graphics

Theoretical Foundations of Engineering Geometry for Design

Author: Aleksandr Yurievich Brailov

Publisher: Springer

ISBN: 3319297198

Category: Mathematics

Page: 338

View: 8265

This professional treatise on engineering graphics emphasizes engineering geometry as the theoretical foundation for communication of design ideas with real world structures and products. It considers each theoretical notion of engineering geometry as a complex solution of direct- and inverse-problems of descriptive geometry and each solution of basic engineering problems presented is accompanied by construction of biunique two- and three-dimension models of geometrical images. The book explains the universal structure of formal algorithms of the solutions of positional, metric, and axonometric problems, as well as the solutions of problems of construction in developing a curvilinear surface. The book further characterizes and explains the added laws of projective connections to facilitate construction of geometrical images in any of eight octants. Laws of projective connections allow constructing the complex drawing of a geometrical image in the American system of measurement and the European system of measurement without errors and mistakes. The arrangement of projections of a geometrical image on the complex drawing corresponds to an arrangement of views of a product in the projective drawing for the European system of measurement. The volume is ideal for engineers working on a range of design projects as well as for students of civil, structural, and industrial engineering and engineering design.

Technology Teachers as Researchers

Philosophical and Empirical Technology Education Studies in the Swedish TUFF Research School

Author: Inga-Britt Skogh,Marc J. De Vries

Publisher: Springer Science & Business Media

ISBN: 9462094438

Category: Education

Page: 310

View: 3193

This book presents the scientific output of the TUFF research school in Sweden. In this school, a group of active teachers worked together on a series of educational research studies. All of those studies were related to the teaching about technology and engineering. The research program consisted of studies at various angles of view: a philosophical view, a national view, and a classroom practice view. The book is a showcase of how a well-conducted research program for teachers can lead to good contributions to technology education research. A selection of topics: the nature of technological knowledge, mental images of engineers and engineering, the process of choosing for a study in technology, teachers’ beliefs about technology education and assessment. These topics are directly related to major issues in the international technology education research agenda. The studies presented here were the basis of the authors’ Ph.D. theses. The teachers’ chapters are preceded by a description of ideas behind the TUFF research school and the way it was realized.

Foundations of Algebraic Geometry

Author: AndrŽ Weil

Publisher: American Mathematical Soc.

ISBN: 0821810294

Category: Mathematics

Page: 363

View: 3204

This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.

Exploiting Mental Imagery with Computers in Mathematics Education

Author: Rosamund Sutherland,John Mason

Publisher: Springer Science & Business Media

ISBN: 9783540585824

Category: Computer graphics

Page: 326

View: 3968

The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.

Landmark-Based Image Analysis

Using Geometric and Intensity Models

Author: Karl Rohr

Publisher: Springer Science & Business Media

ISBN: 9780792367512

Category: Computers

Page: 303

View: 7080

This is the first comprehensive treatment of the extraction of landmarks from multimodality images and the use of these features for elastic image registration. The emphasis is on model-based approaches, i.e. on the use of explicitly represented knowledge in computer vision. Both geometric models (describing the shape of objects) and intensity models (directly representing the image intensities) are utilized. The work describes theoretical foundations, computational and algorithmic issues, as well as practical applications, notably in medicine (neurosurgery and radiology), remote sensing, and industrial automation. Connections with computer graphics and artificial intelligence are illustrated. Audience: This volume will be of interest to readers seeking an introduction and overview of landmark-based image analysis, and in particular to graduate students and researchers in computer science, engineering, computer vision, and medical image analysis.

Digital Image Processing

Author: Bernd Jähne

Publisher: Springer Science & Business Media

ISBN: 9783540240358

Category: Technology & Engineering

Page: 608

View: 8048

This long-established and well-received monograph offers an integral view of image processing - from image acquisition to the extraction of the data of interest – written by a physical scientists for other scientists. Supplements discussion of the general concepts is supplemented with examples from applications on PC-based image processing systems and ready-to-use implementations of important algorithms. Completely revised and extended, the most notable extensions being a detailed discussion on random variables and fields, 3-D imaging techniques and a unified approach to regularized parameter estimation.

Geometric Description of Images as Topographic Maps

Author: Vicent Caselles,Pascal Monasse

Publisher: Springer

ISBN: 3642046118

Category: Computers

Page: 192

View: 6270

This book discusses the basic geometric contents of an image and presents a treedatastructuretohandleite?ciently.Itanalyzesalsosomemorphological operators that simplify this geometric contents and their implementation in termsofthe datastructuresintroduced.It?nallyreviewsseveralapplications to image comparison and registration, to edge and corner computation, and the selection of features associated to a given scale in images. Let us ?rst say that, to avoid a long list, we shall not give references in this summary; they are obviously contained in this monograph. A gray level image is usually modeled as a function de?ned in a bounded N domain D? R (typically N = 2 for usual snapshots, N=3formedical images or movies) with values in R. The sensors of a camera or a CCD array transform the continuum of light energies to a ?nite interval of values by means of a nonlinear function g. The contrast change g depends on the pr- ertiesofthesensors,butalsoontheilluminationconditionsandthere?ection propertiesofthe objects,andthoseconditionsaregenerallyunknown.Images are thus observed modulo an arbitrary and unknown contrast change.

Digital Image Processing

An Algorithmic Introduction Using Java

Author: Wilhelm Burger,Mark J. Burge

Publisher: Springer Science & Business Media

ISBN: 9781846289682

Category: Computers

Page: 565

View: 5262

Written as an introduction for undergraduate students, this textbook covers the most important methods in digital image processing. Formal and mathematical aspects are discussed at a fundamental level and various practical examples and exercises supplement the text. The book uses the image processing environment ImageJ, freely distributed by the National Institute of Health. A comprehensive website supports the book, and contains full source code for all examples in the book, a question and answer forum, slides for instructors, etc. Digital Image Processing in Java is the definitive textbook for computer science students studying image processing and digital processing.

Mathematical Tools in Computer Graphics with C# Implementations

Author: Alexandre Hardy,Willi-Hans Steeb

Publisher: World Scientific

ISBN: 9812791027

Category: Computers

Page: 475

View: 5027

Presents introductory and advanced topics in the field of computer graphics with mathematical descriptions and derivations. This book offers a balance of theory, applications, and code, and derives the underlying numerical methods and algorithms. It contains the classes in C# necessary for computer graphics, and offers an explanation of the code.

Geometric Methods in Bio-Medical Image Processing

Author: Ravikanth Malladi

Publisher: Springer Science & Business Media

ISBN: 3642559875

Category: Mathematics

Page: 147

View: 8849

The genesis of this book goes back to the conference held at the University of Bologna, June 1999, on collaborative work between the University of California at Berkeley and the University of Bologna. The book, in its present form, is a compilation of some of the recent work using geometric partial differential equations and the level set methodology in medical and biomedical image analysis. The book not only gives a good overview on some of the traditional applications in medical imagery such as, CT, MR, Ultrasound, but also shows some new and exciting applications in the area of Life Sciences, such as confocal microscope image understanding.

Image-Based Geometric Modeling and Mesh Generation

Author: Yongjie (Jessica) Zhang

Publisher: Springer Science & Business Media

ISBN: 940074255X

Category: Technology & Engineering

Page: 301

View: 1142

As a new interdisciplinary research area, “image-based geometric modeling and mesh generation” integrates image processing, geometric modeling and mesh generation with finite element method (FEM) to solve problems in computational biomedicine, materials sciences and engineering. It is well known that FEM is currently well-developed and efficient, but mesh generation for complex geometries (e.g., the human body) still takes about 80% of the total analysis time and is the major obstacle to reduce the total computation time. It is mainly because none of the traditional approaches is sufficient to effectively construct finite element meshes for arbitrarily complicated domains, and generally a great deal of manual interaction is involved in mesh generation. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications. This contributed volume, the first for such an interdisciplinary topic, collects the latest research by experts in this area. These papers cover a broad range of topics, including medical imaging, image alignment and segmentation, image-to-mesh conversion, quality improvement, mesh warping, heterogeneous materials, biomodelcular modeling and simulation, as well as medical and engineering applications.

An Invitation to 3-D Vision

From Images to Geometric Models

Author: Yi Ma,Stefano Soatto,Jana Kosecka,S. Shankar Sastry

Publisher: Springer Science & Business Media

ISBN: 9780387008936

Category: Computers

Page: 528

View: 1479

This book introduces the geometry of 3-D vision, that is, the reconstruction of 3-D models of objects from a collection of 2-D images. It details the classic theory of two view geometry and shows that a more proper tool for studying the geometry of multiple views is the so-called rank consideration of the multiple view matrix. It also develops practical reconstruction algorithms and discusses possible extensions of the theory.

The Geometry of Multiple Images

The Laws that Govern the Formation of Multiple Images of a Scene and Some of Their Applications

Author: Olivier Faugeras,Quang-Tuan Luong,Théo Papadopoulo

Publisher: MIT Press

ISBN: 9780262562041

Category: Computers

Page: 644

View: 4481

This book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Over the last forty years, researchers have made great strides in elucidating the laws of image formation, processing, and understanding by animals, humans, and machines. This book describes the state of knowledge in one subarea of vision, the geometric laws that relate different views of a scene. Geometry, one of the oldest branches of mathematics, is the natural language for describing three-dimensional shapes and spatial relations. Projective geometry, the geometry that best models image formation, provides a unified framework for thinking about many geometric problems are relevant to vision. The book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry. Images play a prominent role in computer communications. Producers and users of images, in particular three-dimensional images, require a framework for stating and solving problems. The book offers a number of conceptual tools and theoretical results useful for the design of machine vision algorithms. It also illustrates these tools and results with many examples of real applications.

The Mosaic of Contemporary Psychiatry in Perspective

Author: Anthony Kales,Chester M. Pierce,Milton Greenblatt

Publisher: Springer Science & Business Media

ISBN: 1461391946

Category: Medical

Page: 448

View: 2199

Psychiatry has undergone a dynamic evolution in the last 40 years, an evolution to which Dr. Louis West made many contributions. Psychiatry today and Dr. West's career are intertwined in a mosaic of interaction. It is therefore fitting that this compilation of essays in honor of Dr. West is entitled The Mosaic of Contemporary Psychiatry: Current Perspectives. The papers collectively form a snapshot of the field of psychiatry today. Each chapter offers a historical perspective of the topic discussed, followed by a description of modern day issues and a look at the future of psychiatry. This book will enhance the knowledge and technical skills of psychiatrists as well as other clinicians in the mental health care field.

Numerical Geometry of Images

Theory, Algorithms, and Applications

Author: Ron Kimmel

Publisher: Springer Science & Business Media

ISBN: 0387216375

Category: Computers

Page: 209

View: 684

Numerical Geometry of Images examines computational methods and algorithms in image processing. It explores applications like shape from shading, color-image enhancement and segmentation, edge integration, offset curve computation, symmetry axis computation, path planning, minimal geodesic computation, and invariant signature calculation. In addition, it describes and utilizes tools from mathematical morphology, differential geometry, numerical analysis, and calculus of variations. Graduate students, professionals, and researchers with interests in computational geometry, image processing, computer graphics, and algorithms will find this new text / reference an indispensable source of insight of instruction.

Geometric Curve Evolution and Image Processing

Author: Frédéric Cao

Publisher: Springer Science & Business Media

ISBN: 9783540004028

Category: Mathematics

Page: 194

View: 9078

In image processing, "motions by curvature" provide an efficient way to smooth curves representing the boundaries of objects. In such a motion, each point of the curve moves, at any instant, with a normal velocity equal to a function of the curvature at this point. This book is a rigorous and self-contained exposition of the techniques of "motion by curvature". The approach is axiomatic and formulated in terms of geometric invariance with respect to the position of the observer. This is translated into mathematical terms, and the author develops the approach of Olver, Sapiro and Tannenbaum, which classifies all curve evolution equations. He then draws a complete parallel with another axiomatic approach using level-set methods: this leads to generalized curvature motions. Finally, novel, and very accurate, numerical schemes are proposed allowing one to compute the solution of highly degenerate evolution equations in a completely invariant way. The convergence of this scheme is also proved.

Handbook of Geometric Computing

Applications in Pattern Recognition, Computer Vision, Neuralcomputing, and Robotics

Author: Eduardo Bayro Corrochano

Publisher: Springer Science & Business Media

ISBN: 3540282475

Category: Computers

Page: 779

View: 6031

Many computer scientists, engineers, applied mathematicians, and physicists use geometry theory and geometric computing methods in the design of perception-action systems, intelligent autonomous systems, and man-machine interfaces. This handbook brings together the most recent advances in the application of geometric computing for building such systems, with contributions from leading experts in the important fields of neuroscience, neural networks, image processing, pattern recognition, computer vision, uncertainty in geometric computations, conformal computational geometry, computer graphics and visualization, medical imagery, geometry and robotics, and reaching and motion planning. For the first time, the various methods are presented in a comprehensive, unified manner. This handbook is highly recommended for postgraduate students and researchers working on applications such as automated learning; geometric and fuzzy reasoning; human-like artificial vision; tele-operation; space maneuvering; haptics; rescue robots; man-machine interfaces; tele-immersion; computer- and robotics-aided neurosurgery or orthopedics; the assembly and design of humanoids; and systems for metalevel reasoning.