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Author: Paola Magnaghi-Delfino Publisher: Springer Nature ISBN: 3030637026 Category : Mathematics Languages : en Pages : 322
Book Description
The volume reports on interdisciplinary discussions and interactions between theoretical research and practical studies on geometric structures and their applications in architecture, the arts, design, education, engineering, and mathematics. These related fields of research can enrich each other and renew their mutual interest in these topics through networks of shared inspiration, and can ultimately enhance the quality of geometry and graphics education. Particular attention is dedicated to the contributions that women have made to the scientific community and especially mathematics. The book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.
Author: Paola Magnaghi-Delfino Publisher: Springer Nature ISBN: 3030637026 Category : Mathematics Languages : en Pages : 322
Book Description
The volume reports on interdisciplinary discussions and interactions between theoretical research and practical studies on geometric structures and their applications in architecture, the arts, design, education, engineering, and mathematics. These related fields of research can enrich each other and renew their mutual interest in these topics through networks of shared inspiration, and can ultimately enhance the quality of geometry and graphics education. Particular attention is dedicated to the contributions that women have made to the scientific community and especially mathematics. The book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.
Author: Simon Donaldson Publisher: Springer Science & Business Media ISBN: 030648658X Category : Mathematics Languages : en Pages : 424
Book Description
Different Faces of Geometry - edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov - presents the current state, new results, original ideas and open questions from the following important topics in modern geometry: These apparently diverse topics have a common feature in that they are all areas of exciting current activity. The Editors have attracted an impressive array of leading specialists to author chapters for this volume: G. Mikhalkin (USA-Canada-Russia), V.D. Milman (Israel) and A.A. Giannopoulos (Greece), C. LeBrun (USA), Ko Honda (USA), P. Ozsvath (USA) and Z. Szabo (USA), C. Simpson (France), D. Joyce (UK) and P. Seidel (USA), and S. Bauer (Germany). One can distinguish various themes running through the different contributions. There is some emphasis on invariants defined by elliptic equations and their applications in low-dimensional topology, symplectic and contact geometry (Bauer, Seidel, Ozsvath and Szabo). These ideas enter, more tangentially, in the articles of Joyce, Honda and LeBrun.Here and elsewhere, as well as explaining the rapid advances that have been made, the articles convey a wonderful sense of the vast areas lying beyond our current understanding. Simpson's article emphasizes the need for interesting new constructions (in that case of Kahler and algebraic manifolds), a point which is also made by Bauer in the context of 4-manifolds and the 11/8 conjecture. LeBrun's article gives another perspective on 4-manifold theory, via Riemannian geometry, and the challenging open questions involving the geometry of even well-known 4-manifolds. There are also striking contrasts between the articles. The authors have taken different approaches: for example, the thoughtful essay of Simpson, the new research results of LeBrun and the thorough expositions with homework problems of Honda. One can also ponder the differences in the style of mathematics. In the articles of Honda, Giannopoulos and Milman, and Mikhalkin, the geometry is present in a very vivid and tangible way; combining respectively with topology, analysis and algebra.The papers of Bauer and Seidel, on the other hand, makes the point that algebraic and algebro-topological abstraction (triangulated categories, spectra) can play an important role in very unexpected ways in concrete geometric problems. - From the Preface by the Editors
Author: Zicheng Liu Publisher: Cambridge University Press ISBN: 9780521898416 Category : Computers Languages : en Pages : 314
Book Description
Human faces are familiar to our visual systems. We easily recognize a person's face in arbitrary lighting conditions and in a variety of poses; detect small appearance changes; and notice subtle expression details. Can computer vision systems process face images as well as human vision systems can? Face image processing has potential applications in surveillance, image and video search, social networking, and other domains. A comprehensive guide to this fascinating topic, this book provides a systematic description of modeling face geometry and appearance from images, including information on mathematical tools, physical concepts, image processing and computer vision techniques, and concrete prototype systems. The book will be an excellent reference for researchers and graduate students in computer vision, computer graphics, and multimedia as well as application developers who would like to gain a better understanding of the state of the art.
Author: Paola Magnaghi-Delfino Publisher: Springer Nature ISBN: 3030297969 Category : Mathematics Languages : en Pages : 242
Book Description
The volume reports on interdisciplinary discussions and interactions between theoretical research and practical studies on geometric structures and their applications in architecture, the arts, design, education, engineering, and mathematics. These related fields of research can enrich each other and renew their mutual interest in these topics through networks of shared inspiration, and can ultimately enhance the quality of geometry and graphics education. Particular attention is dedicated to the contributions that women have made to the scientific community and especially mathematics. The book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.
Author: Robert M. George Publisher: Charles C Thomas Publisher ISBN: 0398077703 Category : Medical Languages : en Pages : 98
Book Description
Forensic art may be defined as 'portrait art minus a tangible subject.' The main objective of this book is to present a series of practical indices interrelating the key features of the human face that will provide a foundation for any exercise in forensic art from composite sketch to post-mortem 're-facing.' These indices are illustrated with a survey of the numerous and often surprising geometric forms that permeate facial design. The various triangles and rectangles, rhomboids and trapezoids, parallelograms and circles that define the human face (the theme) and give it individuality (variations on the theme) are examined. The chapters provide necessary information to define the cephalometric points, planes, areas and lines that demarcate the human face, including the detailed surface anatomy of the eye, nose, mouth and ear. The underlying geometry of the human facial plan is revealed, illustrating a selection of triangles, rectangles, and other polygons. The graphic facial analysis (GFA) of the frontal face is covered, with sixteen indices and triangles defining and illustrating their means and ranges of variation. The GFA details the lateral face by means of eight angles and indices with special attention given to the nose and ear. With 45 illustrations and two tables in this clear and comprehensive text, this book leaves little to the imagination and is truly a unique treatise and source of information.
Author: Vicky Somma Publisher: Packt Publishing Ltd ISBN: 1788394364 Category : Computers Languages : en Pages : 430
Book Description
Build four projects using Blender for 3D Printing, giving you all the information that you need to know to create high-quality 3D printed objects. About This Book A project based guide that helps you design beautiful 3D printing objects in Blender Use mesh modeling and intersections to make a custom architectural model of a house Create a real world 3D printed prosthetic hand with organic modeling and texturing painting Who This Book Is For If you're a designer, artist, hobbyist and new to the world of 3D printing, this is the book for you. Some basic knowledge of Blender and geometry will help, but is not essential. What You Will Learn Using standard shapes and making custom shapes with Bezier Curves Working with the Boolean, Mirror, and Array Modifiers Practicing Mesh Modeling tools such as Loop Cut and Slide and Extrude Streamlining work with Proportional Editing and Snap During Transform Creating Organic Shapes with the Subdivision Surface Modifier Adding Color with Materials and UV Maps Troubleshooting and Repairing 3D Models Checking your finished model for 3D printability In Detail Blender is an open-source modeling and animation program popular in the 3D printing community. 3D printing brings along different considerations than animation and virtual reality. This book walks you through four projects to learn using Blender for 3D Printing, giving you information that you need to know to create high-quality 3D printed objects. The book starts with two jewelry projects-- a pendant of a silhouette and a bracelet with custom text. We then explore architectural modeling as you learn to makes a figurine from photos of a home. The final project, a human hand, illustrates how Blender can be used for organic models and how colors can be added to the design. You will learn modeling for 3D printing with the help of these projects. Whether you plan to print at-home or use a service bureau, you'll start by understanding design requirements. The book begins with simple projects to get you started with 3D modeling basics and the tools available in Blender. As the book progresses, you'll get exposed to more robust mesh modeling techniques, modifiers, and Blender shortcuts. By the time you reach your final project, you'll be ready for organic modeling and learning how to add colors. In the final section, you'll learn how to check for and correct common modeling issues to ensure the 3D printer can make your idea a reality! Style and approach The profile pendant teaches background images, Bezier Curves, and Boolean Union. The Mirror Modifier, Boolean Difference, and Text objects are introduced with the coordinate bracelet. Mesh modeling, importing SVG files, and Boolean Intersection help make the house figurine. The human hand illustrates using the Subdivision Surface Modifier for organic shapes and adding color to your designs.
Author: Franco P. Preparata Publisher: Springer Science & Business Media ISBN: 1461210984 Category : Mathematics Languages : en Pages : 413
Book Description
From the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2
Author: Marc Frantz Publisher: Princeton University Press ISBN: 140083905X Category : Mathematics Languages : en Pages : 259
Book Description
An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)
Author: Paola Magnaghi-Delfino
Author: Paola Magnaghi-Delfino
Author: Simon Donaldson
Author: Zicheng Liu
Author: Paola Magnaghi-Delfino
Author: Robert M. George
Author: Vicky Somma
Author: Franco P. Preparata
Author: 
Author: Keith Critchlow
Author: Marc Frantz