The Shape Of Surfaces
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Designing Fair Curves And Surfaces
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Author : Nickolas S. Sapidis
language : en
Publisher: SIAM
Release Date : 1994-01-01
Designing Fair Curves And Surfaces written by Nickolas S. Sapidis and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Computers categories.
This state-of-the-art study of the techniques used for designing curves and surfaces for computer-aided design applications focuses on the principle that fair shapes are always free of unessential features and are simple in design. The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. Aesthetic aspects of geometric modeling are of vital importance in industrial design and modeling, particularly in the automobile and aerospace industries. Any engineer working in computer-aided design, computer-aided manufacturing, or computer-aided engineering will want to add this volume to his or her library. Researchers who have a familiarity with basic techniques in computer-aided graphic design and some knowledge of differential geometry will find this book a helpful reference. It is essential reading for statisticians working on approximation or smoothing of data with mathematical curves or surfaces.
The Shape Of Surfaces
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Author : Gerald E. Farin
language : en
Publisher:
Release Date : 1987
The Shape Of Surfaces written by Gerald E. Farin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Computer Aided Surface Geometry And Design
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Author : Adrian Bowyer
language : en
Publisher: Oxford University Press, USA
Release Date : 1994
Computer Aided Surface Geometry And Design written by Adrian Bowyer and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.
Describing the shapes of real objects for the purposes of engineering, architecture, medicine, and a host of other disciplines often requires complicated mathematics and subtle computer techniques. With contributions from eminent authorities in the field, this wide-ranging volume describes the latest research in computer-aided surface geometry and design techniques currently being used and developed. Topics include: The geometry of helical canal surface, optimized triangulation of parametric surfaces, simple singularities in surface-surface intersections, and the volume function, among others. With its technical richness and comprehensive treatment of the subject, the book will appeal to students and researchers working in CAD, CAM, architecture, medical modeling, molecular modeling, geography, cartography, and landscape design.
Modern Differential Geometry Of Curves And Surfaces
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Author : Alfred Gray
language : en
Publisher: CRC Press
Release Date : 1993-06-28
Modern Differential Geometry Of Curves And Surfaces written by Alfred Gray and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-28 with Mathematics categories.
Modern Differential Geometry of Curves and Surfaces is the first advanced text/reference to explain the mathematics of curves and surfaces and describe how to draw the pictures illustrating them using Mathematica‚. You learn not only the classical concepts, ideas, and methods of differential geometry, but also how to define, construct, and compute standard functions. You also learn how to create new curves and surfaces from old ones. The book is superb for classroom use and self-study. Material is presented clearly, using over 150 exercises, 175 Mathematica programs, and 225 geometric figures to thoroughly develop the topics presented. A brief tutorial explaining how to use Mathematica in differential geometry is included as well. This text/reference is excellent for all mathematicians, scientists, and engineers who use differential geometric methods and investigate geometrical structures.
Curve And Surface Design
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Author : Hans Hagen
language : en
Publisher: SIAM
Release Date : 1992-01-01
Curve And Surface Design written by Hans Hagen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Mathematics categories.
This collection of ideas and results on topics of curve and surface design is intended for research in the academic environment as well as for practical use in industrial applications. Main emphasis is on minimal energy splines and geometric spline curves, and on techniques beyond tensor product surfaces.
The Shape Of Space How To Visualize Surfaces And Three Dimensional Menifolds
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Author : Jeffrey R. Weeks
language : en
Publisher:
Release Date : 1985
The Shape Of Space How To Visualize Surfaces And Three Dimensional Menifolds written by Jeffrey R. Weeks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Introduction To Lorentz Geometry
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Author : Ivo Terek Couto
language : en
Publisher: CRC Press
Release Date : 2021-01-05
Introduction To Lorentz Geometry written by Ivo Terek Couto and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-05 with Mathematics categories.
Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity. Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions? Introduction to Lorentz Geometry: Curves and Surfaces intends to provide the reader with the minimum mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously. Features: Over 300 exercises Suitable for senior undergraduates and graduates studying Mathematics and Physics Written in an accessible style without loss of precision or mathematical rigor Solution manual available on www.routledge.com/9780367468644
Bendings Of Surfaces And Stability Of Shells
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Author : Alekse_ Vasil_evich Pogorelov
language : en
Publisher: American Mathematical Soc.
Release Date : 1988-12-31
Bendings Of Surfaces And Stability Of Shells written by Alekse_ Vasil_evich Pogorelov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-12-31 with Technology & Engineering categories.
This book contains an accessible exposition of the geometric theory of stability of elastic shells, starting from the basic facts of the theory of finite and infinitesimal bendings of surfaces. The author has included a number of new results obtained in recent years. In particular, the complete solution of the problem of stability of spherical shells under an external pressure is contained here without any assumptions regarding the character of buckling. Within the framework of the mathematical model of the phenomenon, the author gives a complete investigation of the loss of stability of a general, strictly convex shell fastened along an edge under external pressure. The author considers the question of the loss of stability of cylindrical shells under axial compression and the effect of various factors on the critical load, among other questions. In contrast to the author's 1967 book on the subject, this work is limited to a relatively small number of classical problems on the loss of stability of shells, but these problems are investigated more thoroughly.
Introduction To Implicit Surfaces
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Author : Jules Bloomenthal
language : en
Publisher: Morgan Kaufmann
Release Date : 1997-08
Introduction To Implicit Surfaces written by Jules Bloomenthal and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08 with Computers categories.
Implicit surfaces offer special effects animators, graphic designers, CAD engineers, graphics students, and hobbyists a new range of capabilities for the modeling of complex geometric objects. In contrast to traditional parametric surfaces, implicit surfaces can easily describe smooth, intricate, and articulatable shapes. These powerful yet easily understood surfaces are finding use in a growing number of graphics applications. This comprehensive introduction develops the fundamental concepts and techniques of implicit surface modeling, rendering, and animating in terms accessible to anyone with a basic background in computer graphics. + provides a thorough overview of implicit surfaces with a focus on their applications in graphics + explains the best methods for designing, representing, and visualizing implicit surfaces + surveys the latest research With contributions from seven graphics authorities, this innovative guide establishes implicit surfaces as a powerful and practical tool for animation and rendering.
Shape Preserving Representations In Computer Aided Geometric Design
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Author : Juan M. Peña
language : en
Publisher: Nova Publishers
Release Date : 1999
Shape Preserving Representations In Computer Aided Geometric Design written by Juan M. Peña and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.
Presents recent important advances in the field of computer-aided geometric design in the study of shape-preserving representations of curves and surfaces. The volume's dozen papers are organized into five sections on: shape preserving representations of curves, optimality of B-bases, blossoming and geometric approach, shape preserving representations of surfaces, and trigonometric bases for the representation of curves and surfaces. The index spans the admissible (in design algorithms for spline curves) to the weak Chebyshev space and system. Contributors hail from six European countries. Annotation copyrighted by Book News, Inc., Portland, OR