Different Faces Of Geometry
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Different Faces Of Geometry
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Author : Simon Donaldson
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Different Faces Of Geometry written by Simon Donaldson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Mathematics categories.
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
Faces Of Geometry
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Author : Paola Magnaghi-Delfino
language : en
Publisher: Springer Nature
Release Date : 2021-04-03
Faces Of Geometry written by Paola Magnaghi-Delfino and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-03 with Mathematics categories.
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.
Face Geometry And Appearance Modeling
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Author : Zicheng Liu
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-18
Face Geometry And Appearance Modeling written by Zicheng Liu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-18 with Computers categories.
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.
Math In Action Pre Geometry
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Author : Teacher Created Resources
language : en
Publisher: Teacher Created Resources
Release Date : 2005-03
Math In Action Pre Geometry written by Teacher Created Resources and has been published by Teacher Created Resources this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03 with Education categories.
Faces
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Author : Brenda McGee
language : en
Publisher: PRUFROCK PRESS INC.
Release Date : 2007-07
Faces written by Brenda McGee and has been published by PRUFROCK PRESS INC. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07 with Education categories.
Faces, a book in the Multiage Differentiated Curriculum Kit for Grades 1-3, gives students the opportunity to see the faces of the world from an entirely different perspective. The books in Prufrock's new Differentiated Curriculum Kits employ a differentiated, integrated curriculum based on broad themes. This all-in-one curriculum helps teachers save planning time, ensure compliance with national standards, and most importantly, pique their students' natural excitement and interest in discovery. By participating in the wide variety of activities in the Multiage Differentiated Curriculum Kit for Grades 1-3, students will discover the faces around them and gain a lifelong desire to learn. Students will design masks to reflect what is behind a human face. They will go on to analyze and scrutinize faces in art, as well as on the moon and Mars. Faces also presents students with geometric problems, and allows them to explore cultural differences. Students will study myths, folktales, and fairy tales that occur in different cultures around the world. Faces, along with the other books in the Multiage Differentiated Curriculum Kit for Grades 1-3 (Cycles, Discoveries, Gifts, and Symbols), makes teaching advanced learners easier! Grades 1-3 This curriculum unit makes use of the following great children's literature books: Feelings by Aliki; Beauty and the Beast by Marianna Mayer; Scholastic Dictionary of Idioms by Marvin Terban; Why the Sun and the Moon Live in the Sky by Elphinstone Dayrell; and The Art Gallery of FACES by Philip Wilkinson.
Dr Math Introduces Geometry
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Author : The Math Forum
language : en
Publisher: John Wiley & Sons
Release Date : 2004-08-19
Dr Math Introduces Geometry written by The Math Forum and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-19 with Juvenile Nonfiction categories.
You, Too, Can Understand Geometry - Just Ask Dr. Math! Have you started studying geometry in math class? Do you get totally lost trying to find the perimeter of a rectangle or the circumference of a circle? Don't worry. Grasping the basics of geometry doesn't have to be as scary as it sounds. Dr. Math-the popular online math resource-is here to help! Students just like you have been turning to Dr. Math for years asking questions about math problems, and the math doctors at The Math Forum have helped them find the answers with lots of clear explanations and helpful hints. Now, with Dr. Math Introduces Geometry, you'll learn just what it takes to succeed in this subject. You'll find the answers to dozens of real questions from students who needed help understanding the basic concepts of geometry, from lines, rays, and angles to measuring three-dimensional objects and applying geometry in the real world. Pretty soon, everything from recognizing types of quadrilaterals to finding surface area to counting lines of symmetry will make sense. Plus, you'll get plenty of tips for working with tricky problems submitted by other kids who are just as confused as you are. You won't find a better introduction to the world and language of geometry anywhere!
3d Face Processing
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Author : Zhen Wen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
3d Face Processing written by Zhen Wen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Computers categories.
3D Face Processing: Modeling, Analysis and Synthesis introduces the frontiers of 3D face processing techniques. It reviews existing 3D face processing techniques, including techniques for 3D face geometry modeling; 3D face motion modeling; and 3D face motion tracking and animation. Then it discusses a unified framework for face modeling, analysis and synthesis. In this framework, the authors present new methods for modeling complex natural facial motion, as well as face appearance variations due to illumination and subtle motion. Then the authors apply the framework to face tracking, expression recognition and face avatar for HCI interface. They conclude this book with comments on future work in the 3D face processing framework. 3D Face Processing: Modeling, Analysis and Synthesis will interest those working in face processing for intelligent human computer interaction and video surveillance. It contains a comprehensive survey on existing face processing techniques, which can serve as a reference for students and researchers. It also covers in-depth discussion on face motion analysis and synthesis algorithms, which will benefit more advanced graduate students and researchers.
Systems Patterns And Data Engineering With Geometric Calculi
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Author : Sebastià Xambó-Descamps
language : en
Publisher: Springer Nature
Release Date : 2021-07-16
Systems Patterns And Data Engineering With Geometric Calculi written by Sebastià Xambó-Descamps and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-16 with Mathematics categories.
The intention of this collection agrees with the purposes of the homonymous mini-symposium (MS) at ICIAM-2019, which were to overview the essentials of geometric calculus (GC) formalism, to report on state-of-the-art applications showcasing its advantages and to explore the bearing of GC in novel approaches to deep learning. The first three contributions, which correspond to lectures at the MS, offer perspectives on recent advances in the application GC in the areas of robotics, molecular geometry, and medical imaging. The next three, especially invited, hone the expressiveness of GC in orientation measurements under different metrics, the treatment of contact elements, and the investigation of efficient computational methodologies. The last two, which also correspond to lectures at the MS, deal with two aspects of deep learning: a presentation of a concrete quaternionic convolutional neural network layer for image classification that features contrast invariance and a general overview of automatic learning aimed at steering the development of neural networks whose units process elements of a suitable algebra, such as a geometric algebra. The book fits, broadly speaking, within the realm of mathematical engineering, and consequently, it is intended for a wide spectrum of research profiles. In particular, it should bring inspiration and guidance to those looking for materials and problems that bridge GC with applications of great current interest, including the auspicious field of GC-based deep neural networks.
Geometry Mechanics And Dynamics
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Author : Dong Eui Chang
language : en
Publisher: Springer
Release Date : 2015-04-16
Geometry Mechanics And Dynamics written by Dong Eui Chang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-16 with Mathematics categories.
This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in this volume are based on lectures and research performed during the month of July 2012 at the Fields Institute for Research in Mathematical Sciences, in a program in honor of Marsden's legacy. The unified treatment of the wide breadth of topics treated in this book will be of interest to both experts and novices in geometric mechanics. Experts will recognize applications of their own familiar concepts and methods in a wide variety of fields, some of which they may never have approached from a geometric viewpoint. Novices may choose topics that interest them among the various fields and learn about geometric approaches and perspectives toward those topics that will be new for them as well.