Minimum Curvature Variation Curves Networks And Surfaces For Fair Free Form Shape Design

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Minimum Curvature Variation Curves Networks And Surfaces For Fair Free Form Shape Design

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Author : University of California, Berkeley. Computer Science Division
language : en
Publisher:
Release Date : 1992

Minimum Curvature Variation Curves Networks And Surfaces For Fair Free Form Shape Design written by University of California, Berkeley. Computer Science Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Computational geometry categories.

We present the details of the techniques outlined above and describe the trade-offs between some alternative approaches. Solutions to difficult interpolation problems and comparisons with traditional methods are provided. Both demonstrate the superiority of curvature variation as a fairness metric and efficacy of optimization as a tool in shape design, albeit at significant computational cost.

Hierarchical And Geometrical Methods In Scientific Visualization

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Author : Gerald Farin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Hierarchical And Geometrical Methods In Scientific Visualization written by Gerald Farin 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 2012-12-06 with Technology & Engineering categories.

The nature of the physical Universe has been increasingly better understood in recent years, and cosmological concepts have undergone a rapid evolution (see, e.g., [11], [2],or [5]). Although there are alternate theories, it is generally believed that the large-scale relationships and homogeneities that we see can only be explainedby having the universe expand suddenlyin a very early “in?ationary” period. Subsequent evolution of the Universe is described by the Hubble expansion, the observation that the galaxies are ?ying away from each other. We can attribute di?erent rates of this expansion to domination of di?erent cosmological processes, beginning with radiation, evolving to matter domination, and, relatively recently, to vacuum domination (the Cosmological Constant term)[4]. We assume throughout that we will be relying as much as possible on observational data, with simulations used only for limited purposes, e.g., the appearance of the Milky Wayfrom nearbyintergalactic viewpoints. The visualization of large-scale astronomical data sets using?xed, non-interactive animations has a long history. Several books and ?lms exist, ranging from “Cosmic View: The Universe in Forty Jumps” [3] by Kees Boeke to “Powers of 10” [6,13] by Charles and Ray Eames, and the recent Imax ?lm “Cosmic Voyage” [15]. We have added our own contribution [9], “Cosmic Clock,” which is an animation based entirely on the concepts and implementation described in this paper.

Minimum Curvature Variation Curves Network And Surfaces For Fair Free Form Shape Design

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Author : Henry Packard Moreton
language : en
Publisher:
Release Date : 1992

Minimum Curvature Variation Curves Network And Surfaces For Fair Free Form Shape Design written by Henry Packard Moreton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.

Variational Methods With Applications In Science And Engineering

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Author : Kevin W. Cassel
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-22

Variational Methods With Applications In Science And Engineering written by Kevin W. Cassel 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 2013-07-22 with Mathematics categories.

This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.

Subdivision Surface Modeling Technology

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Author : Wenhe Liao
language : en
Publisher: Springer
Release Date : 2017-10-11

Subdivision Surface Modeling Technology written by Wenhe Liao and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-11 with Computers categories.

This book offers a comprehensive introduction to Subdivision Surface Modeling Technology focusing not only on fundamental theories but also on practical applications. It furthers readers’ understanding of the contacts between spline surfaces and subdivision surfaces, enabling them to master the Subdivision Surface Modeling Technology for analyzing subdivision surfaces. Subdivision surface modeling is a popular technology in the field of computer aided design (CAD) and computer graphics (CG) thanks to its ability to model meshes of any topology. The book also discusses some typical Subdivision Surface Modeling Technologies, such as interpolation, fitting, fairing, intersection, as well as trimming and interactive editing. It is a valuable tool, enabling readers to grasp the main technologies of subdivision surface modeling and use them in software development, which in turn leads to a better understanding of CAD/CG software operations.

Geometric Methods And Applications

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Author : Jean Gallier
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometric Methods And Applications written by Jean Gallier 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 2012-12-06 with Mathematics categories.

As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics, which sometimes do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine geometry, projective geometry, Euclidean geometry, basics of differential geometry and Lie groups, and a glimpse of computational geometry (convex sets, Voronoi diagrams and Delaunay triangulations) and explores many of the practical applications of geometry. Some of these applications include computer vision (camera calibration) efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Minimizing Curvature Variation For Aesthetic Surface Design

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Author : Pushkar Prakash Joshi
language : en
Publisher:
Release Date : 2008

Minimizing Curvature Variation For Aesthetic Surface Design written by Pushkar Prakash Joshi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.

Variational Analysis And Aerospace Engineering Mathematical Challenges For Aerospace Design

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Author : Giuseppe Buttazzo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-23

Variational Analysis And Aerospace Engineering Mathematical Challenges For Aerospace Design written by Giuseppe Buttazzo 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 2012-04-23 with Mathematics categories.

This volume consists of papers presented at the Variational Analysis and Aerospace Engineering Workshop II held in Erice, Italy in September 2010 at the International School of Mathematics "Guido Stampacchia". The workshop provided a platform for aerospace engineers and mathematicians (from universities, research centers and industry) to discuss the advanced problems requiring an extensive application of mathematics. The presentations were dedicated to the most advanced subjects in engineering and, in particular to computational fluid dynamics methods, introduction of new materials, optimization in aerodynamics, structural optimization, space missions, flight mechanics, control theory and optimization, variational methods and applications, etc. This book will capture the interest of researchers from both academia and industry.

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.

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. A valuable resource for engineers working in CAD, CAM, or computer-aided engineering.

Geometric Modelling

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Author : R. Albrecht
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometric Modelling written by R. Albrecht 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 2012-12-06 with Computers categories.

Experts from university and industry are presenting new technologies for solving industrial problems and giving many important and practicable impulses for new research. Topics explored include NURBS, product engineering, object oriented modelling, solid modelling, surface interrogation, feature modelling, variational design, scattered data algorithms, geometry processing, blending methods, smoothing and fairing algorithms, spline conversion. This collection of 24 articles gives a state-of-the-art survey of the relevant problems and issues in geometric modelling.