Modeling with Ambient B-Splines

Modeling with Ambient B-Splines PDF Author: Nicole Lehmann
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832536027
Category : Computers
Languages : en
Pages : 126

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Book Description
The present thesis introduces a new approach for the generation of CK-approximants of functions defined on closed submanifolds for arbitrary k ∈ N. In case a function on a surface resembles the three coordinates of a topologically equivalent surface in R3, we even obtain Ck-approximants of closed surfaces of arbitrary topology. The key idea of our method is a constant extension of the target function into the submanifold's ambient space. In case the reference submanifolds are embedded and Ck, the usage of standard tensor product B-splines for the approximation of the extended function is straightforward. We obtain a Ck-approximation of the target function by restricting the approximant to the reference submanifold. We illustrate our method by an easy example in R2 and verify its practicality by application-oriented examples in R3. The first treats the approximation of the geoid, an important reference magnitude within geodesy and geophysics. The second and third example treat the approximation of geometric models. The usage of B-splines not only guarantees full approximation power but also allows a canonical access to adaptive refinement strategies. We elaborate on two hierarchical techniques and successfully apply them to the introduced examples. Concerning the modeling of surfaces by the new approach, we derive numerically robust formulas for the determination of normal vectors and curvature information of a target surface which only need the spline approximant as well as the normal vectors and curvature information of the reference surface.

Modeling with Ambient B-Splines

Modeling with Ambient B-Splines PDF Author: Nicole Lehmann
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832536027
Category : Computers
Languages : en
Pages : 126

Get Book Here

Book Description
The present thesis introduces a new approach for the generation of CK-approximants of functions defined on closed submanifolds for arbitrary k ∈ N. In case a function on a surface resembles the three coordinates of a topologically equivalent surface in R3, we even obtain Ck-approximants of closed surfaces of arbitrary topology. The key idea of our method is a constant extension of the target function into the submanifold's ambient space. In case the reference submanifolds are embedded and Ck, the usage of standard tensor product B-splines for the approximation of the extended function is straightforward. We obtain a Ck-approximation of the target function by restricting the approximant to the reference submanifold. We illustrate our method by an easy example in R2 and verify its practicality by application-oriented examples in R3. The first treats the approximation of the geoid, an important reference magnitude within geodesy and geophysics. The second and third example treat the approximation of geometric models. The usage of B-splines not only guarantees full approximation power but also allows a canonical access to adaptive refinement strategies. We elaborate on two hierarchical techniques and successfully apply them to the introduced examples. Concerning the modeling of surfaces by the new approach, we derive numerically robust formulas for the determination of normal vectors and curvature information of a target surface which only need the spline approximant as well as the normal vectors and curvature information of the reference surface.

Noise and Environment

Noise and Environment PDF Author: Daniela Siano
Publisher: BoD – Books on Demand
ISBN: 1839682396
Category : Technology & Engineering
Languages : en
Pages : 174

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Book Description
Noise pollution is one of the factors that affect the quality of life of the general population, especially in urban areas, where the noise levels are often high due to the presence of numerous sources, such as transport infrastructures, activities production and commercial areas, entertainment venues and other sound sources which, although temporary, such as construction sites and outdoor music events, affect general noise levels. Even if noise is one of the oldest pollutants referred to in history, for years, the problem of noise pollution has been often considered less important than others related to the environment, such as air pollution, water pollution, and waste management.The regulations in force to contain the noise have become increasingly stringent as each individual is constantly exposed to noise and often the noise is treated just as a scourge of modern society. Making noise is becoming easier and cheaper each day, but just the opposite for controlling it. Deeper studies are needed to understand the core of current noise problems; new materials and techniques are needed to control them. This book is a combination of theory and practice based on the latest research. The studies in this book range from evaluation methods for the perception of noise and outline forecast criteria that can be integrated with applications for acoustic mapping as well as the use of innovative techniques and materials for its abatement. The main purpose of this book, organized in 8 chapters, is to provide an overview of the recent studies in this field and the applications in different research studies. The authors, contributing to the success of this book, provide a series of practical applications of their recent studies aimed at the reduction of noise in different environments. The editors would like to thank all the authors who, through their studies and research, have accepted our invitation to share recent discoveries in this field with the scientific community.

Environmental Health Perspectives

Environmental Health Perspectives PDF Author:
Publisher:
ISBN:
Category : Environmental health
Languages : en
Pages : 1252

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Book Description


Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 704

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Book Description


Proceedings of the 5th International Conference on Building Energy and Environment

Proceedings of the 5th International Conference on Building Energy and Environment PDF Author: Liangzhu Leon Wang
Publisher: Springer Nature
ISBN: 9811998221
Category : Technology & Engineering
Languages : en
Pages : 2933

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Book Description
This book is a compilation of selected papers from the 5th International Conference on Building Energy and Environment (COBEE2022), held in Montreal, Canada, in July 2022. The work focuses on the most recent technologies and knowledge of building energy and the environment, including health, energy, urban microclimate, smart cities, safety, etc. The contents make valuable contributions to academic researchers, engineers in the industry, and regulators of buildings. As well, readers encounter new ideas for achieving healthy, comfortable, energy-efficient, resilient, and safe buildings.

Computer Graphics

Computer Graphics PDF Author: Rajiv Chopra
Publisher: S. Chand Publishing
ISBN: 8121935814
Category : Computers
Languages : en
Pages : 695

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Book Description
Many Books on Computer Graphics (C.G) are available in the market but they tend to be dry and formal. I have made this book the most lucid and simplified, that A student feels as if a teacher is sitting behind him and guiding him. It can be used as a textbook also for all graduates and postgraduates programs of DU, GGSIPU, JNU, JNTU, UPTU, GNDU, VTU, RGPV, and Nagpur Universities of India

Computational Science – ICCS 2022

Computational Science – ICCS 2022 PDF Author: Derek Groen
Publisher: Springer Nature
ISBN: 3031087518
Category : Computers
Languages : en
Pages : 797

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Book Description
The four-volume set LNCS 13350, 13351, 13352, and 13353 constitutes the proceedings of the 22ndt International Conference on Computational Science, ICCS 2022, held in London, UK, in June 2022.* The total of 175 full papers and 78 short papers presented in this book set were carefully reviewed and selected from 474 submissions. 169 full and 36 short papers were accepted to the main track; 120 full and 42 short papers were accepted to the workshops/ thematic tracks. *The conference was held in a hybrid format

Modeling for Design Using AutoCAD Release 13 and AutoSurf

Modeling for Design Using AutoCAD Release 13 and AutoSurf PDF Author: Michael D. Stewart
Publisher: Autodesk Press
ISBN:
Category : Computers
Languages : en
Pages : 564

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Book Description


Advances in Computer Graphics IV

Advances in Computer Graphics IV PDF Author: W.T. Hewitt
Publisher: Springer Science & Business Media
ISBN: 3642840604
Category : Computers
Languages : en
Pages : 265

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Book Description
This fourth volume of Advances in Computer Graphics gathers together a selection of the tutorials presented at the EUROGRAPHICS annual conference in Nice, France, Septem ber 1988. The six contributions cover various disciplines in Computer Graphics, giving either an in-depth view of a specific topic or an updated overview of a large area. Chapter 1, Object-oriented Computer Graphics, introduces the concepts of object ori ented programming and shows how they can be applied in different fields of Computer Graphics, such as modelling, animation and user interface design. Finally, it provides an extensive bibliography for those who want to know more about this fast growing subject. Chapter 2, Projective Geometry and Computer Graphics, is a detailed presentation of the mathematics of projective geometry, which serves as the mathematical background for all graphic packages, including GKS, GKS-3D and PRIGS. This useful paper gives in a single document information formerly scattered throughout the literature and can be used as a reference for those who have to implement graphics and CAD systems. Chapter 3, GKS-3D and PHIGS: Theory and Practice, describes both standards for 3D graphics, and shows how each of them is better adapted in different typical applications. It provides answers to those who have to choose a basic 3D graphics library for their developments, or to people who have to define their future policy for graphics.

Fluid Structure Interaction VI

Fluid Structure Interaction VI PDF Author: Alain J. Kassab
Publisher: WIT Press
ISBN: 184564512X
Category : Science
Languages : en
Pages : 337

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Book Description
This book comprises contributions on new developments in fluid structure interaction problems, presented at sixth in a successful series of biennial conferences that began in 2001. The international experts assembled at the conference will discuss a variety of topics, including: Fluid pipeline interactions, Structure response to severe shock and blast, Hydrodynamic forces, Acoustics and noise, Computational methods, Response of structures, including fluid dynamics, Flow induced vibrations, Experimental studies and validation, Bioengineering applications, Offshore structures and pipelines, Subsea systems, and Soil structure interaction.