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Lines and Curves

Lines and Curves PDF Author: Victor Gutenmacher
Publisher: Springer Science & Business Media
ISBN: 1475738099
Category : Mathematics
Languages : en
Pages : 166

Book Description
Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels

Lines and Curves

Lines and Curves PDF Author: Victor Gutenmacher
Publisher: Springer Science & Business Media
ISBN: 1475738099
Category : Mathematics
Languages : en
Pages : 166

Book Description
Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels

Statistical Optimization for Geometric Computation

Statistical Optimization for Geometric Computation PDF Author: Kenichi Kanatani
Publisher: Courier Corporation
ISBN: 0486443086
Category : Mathematics
Languages : en
Pages : 548

Book Description
This text for graduate students discusses the mathematical foundations of statistical inference for building three-dimensional models from image and sensor data that contain noise--a task involving autonomous robots guided by video cameras and sensors. The text employs a theoretical accuracy for the optimization procedure, which maximizes the reliability of estimations based on noise data. The numerous mathematical prerequisites for developing the theories are explained systematically in separate chapters. These methods range from linear algebra, optimization, and geometry to a detailed statistical theory of geometric patterns, fitting estimates, and model selection. In addition, examples drawn from both synthetic and real data demonstrate the insufficiencies of conventional procedures and the improvements in accuracy that result from the use of optimal methods.

Geometry of Surfaces

Geometry of Surfaces PDF Author: Stephen P. Radzevich
Publisher: John Wiley & Sons
ISBN: 1118522710
Category : Technology & Engineering
Languages : en
Pages : 251

Book Description
Presents an in-depth analysis of geometry of part surfaces and provides the tools for solving complex engineering problems Geometry of Surfaces: A Practical Guide for Mechanical Engineers is a comprehensive guide to applied geometry of surfaces with focus on practical applications in various areas of mechanical engineering. The book is divided into three parts on Part Surfaces, Geometry of Contact of Part Surfaces and Mapping of the Contacting Part Surfaces. Geometry of Surfaces: A Practical Guide for Mechanical Engineers combines differential geometry and gearing theory and presents new developments in the elementary theory of enveloping surfaces. Written by a leading expert of the field, this book also provides the reader with the tools for solving complex engineering problems in the field of mechanical engineering. Presents an in-depth analysis of geometry of part surfaces Provides tools for solving complex engineering problems in the field of mechanical engineering Combines differential geometry and gearing theory Highlights new developments in the elementary theory of enveloping surfaces Essential reading for researchers and practitioners in mechanical, automotive and aerospace engineering industries; CAD developers; and graduate students in Mechanical Engineering.

Elementary Geometry Practical and Theoretical

Elementary Geometry Practical and Theoretical PDF Author: Charles Godfrey
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 428

Book Description


Practical and Theoretical Geometry

Practical and Theoretical Geometry PDF Author: Alexander Hiram McDougall
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages :

Book Description


The Four Pillars of Geometry

The Four Pillars of Geometry PDF Author: John Stillwell
Publisher: Springer Science & Business Media
ISBN: 0387255303
Category : Mathematics
Languages : en
Pages : 240

Book Description
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

Elements of Geometry, Theoretical and Practical

Elements of Geometry, Theoretical and Practical PDF Author: George Clinton Whitlock
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 336

Book Description


The Theory and Practice of Conformal Geometry

The Theory and Practice of Conformal Geometry PDF Author: Steven G. Krantz
Publisher: Courier Dover Publications
ISBN: 0486793443
Category : Mathematics
Languages : en
Pages : 308

Book Description
An expert on conformal geometry introduces some of the subject's modern developments. Topics include the Riemann mapping theorem, invariant metrics, automorphism groups, harmonic measure, extremal length, analytic capacity, invariant geometry, and more. 2016 edition.

Theory and Practice of Geometric Modeling

Theory and Practice of Geometric Modeling PDF Author: Wolfgang Straßer
Publisher: Springer Science & Business Media
ISBN: 3642615422
Category : Technology & Engineering
Languages : en
Pages : 534

Book Description
This book is a result of the lectures and discussions during the conference "Theory and Practice of Geometric Modeling". The event has been organized by the Wilhelm-Schickard-Institut fiir Informatik, Universitat Tiibingen and took place at the Heinrich-Fabri-Institut in Blaubeuren from October 3 to 7, 1988. The conference brought together leading experts from academic and industrial research institutions, CAD system developers and experien ced users to exchange their ideas and to discuss new concepts and future directions in geometric modeling. The main intention has been to bridge the gap between theoretical results, performance of existing CAD systems and the real problems of users. The contents is structured in five parts: A Algorithmic Aspects B Surface Intersection, Blending, Ray Tracing C Geometric Tools D Different Representation Schemes in Solid Modeling E Product Modeling in High Level Specifications The material presented in this book reflects the current state of the art in geometric modeling and should therefore be of interest not only to university and industry researchers, but also to system developers and practitioners who wish to keep up to date on recent advances and new concepts in this rapidly expanding field. The editors express their sincere appreciation to the contributing authors, and to the members of the program committee, W. Boehm, J. Hoschek, A. Massabo, H. Nowacki, M. Pratt, J. Rossignac, T. Sederberg and W. Tiller, for their close cooperation and their time and effort that made the conference and this book a success.

A Geometry of Music

A Geometry of Music PDF Author: Dmitri Tymoczko
Publisher: OUP USA
ISBN: 0195336674
Category : Mathematics
Languages : en
Pages : 469

Book Description
In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.