3 edition of **Application of three-dimensional Bézier patches in grid generation** found in the catalog.

Application of three-dimensional Bézier patches in grid generation

- 364 Want to read
- 1 Currently reading

Published
**1990** by National Aeronautics and Space Administration, National Technical Information Service, distributor in [Washington, DC, Springfield, Va.? .

Written in English

- Numerical grid generation (Numerical analysis)

**Edition Notes**

Other titles | Application of three dimensional Bézier patches in grid generation. |

Statement | C. Wayne Mastin. |

Series | NASA-CR -- 189000., NASA contractor report -- NASA CR-189000. |

Contributions | United States. National Aeronautics and Space Administration. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL17676032M |

Structural shape optimization using Bézier triangles and a CAD-compatible boundary representation 31 May | Engineering with Computers, Vol. 47 Fixed-grid hole-shape optimization for opening structures using smoothly deformable implicit curve

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Bezier and B-spline patches are popular tools in surface modeling. With these methods, a surface is represented by the tensor product of univariate approximations. The extension of this concept to three dimensions is obvious and can be applied to the problem of grid :// Get this from a library.

Application of three-dimensional Bézier patches in grid generation. [C Wayne Mastin; United States. National Aeronautics and Space Administration.] Bezier and B-spline patches are popular tools in surface modeling.

With these methods, a surface is represented by the tensor product of univariate approximations. The extension of this concept to three-dimensions is obvious and can be applied to the problem of grid generation. This report will demonstrate how three-dimensional patches can be used in solid modeling and in the generation of Barnhill, R.E.

and Worsey, A.J. (), Smooth interpolation over hypercubes, Computer Aided Geometric Design 1, Mastin, C.W. (), Application of three-dimensional B6zier patches in grid generation, in: Software Systems for Surface Modeling and Grid Generation, NASA CP Bezier and B-spline patches are popular tools in surface modeling.

With these methods, a surface is represented by the tensor product of univariate approximations. The extension of this concept to three dimensions is obvious and can be applied to the problem of grid generation.

This report will demonstrate how three dimensional patches can be used in solid modeling and in the generation of N APPLICATION OF THREE-DIMENSIONAL Bl_ZIER PATCHES IN GRID GENERATION * C. Wayne Mastin Mississippi State University Mississippi State, MS SUMMARY B6zier and B-spline patches are popular tools in surface modeling.

With these methods, a surface is represented by the tensor product of univariate approximations. The extension Several examples are presented to demonstrate the use of the three-dimensional B_zier patches in grid generation.

The first example is plotted in Figure 1. The wire frame model describes a simple duct with a varying cross section. The rounded corner option is used to change the duct from a rectangular shape to an oval shape. The plots of the 9 Surface Grid Generation Systems Introduction the generation of a volume grid, which itself would be used in a three-dimensional numerical simulation Finally, we refer the reader to other related chapters in this book; these are Chapter 3 on TFI generation systems, Chapter 4 on elliptic generation systems, Chapter Application of three-dimensional Bézier patches in grid generation book on boundary Generation/Handbook_of_Grid_ Generation,/chappdf.

• Three-Dimensional Control Polygons for Surfaces Application of three-dimensional Bézier patches in grid generation book Meshes) Bézier curves behave just as well in three dimensions as in two. This figure shows the control polygons for a three-dimensional object consisting of Bézier patches.

The Bézier curve, named after the French researcher Pierre Bézier, is a simple and useful CAGD Download Free PDF, Epub and Mobi eBooks.

Convenient search and writers directory. All of your favorite books and authors can be found :// ELSEVIER Comput. Methods Appl.

Mech. Engrg. () (~nlpuler methods In aqllLellod moahamlcs nnd onglneorlng Three-dimensional unstructured mesh generation: Part 2. Surface meshes Yao Zhenga, Roland W.

Lewis, a. (two-dimensional vector measurements) in the three-dimensional coordinate space of longitude, latitude, and elevation. An image is scalar measurements (image intensity) located on a two-dimensional grid of image plane positions.

In Chapter 14 on motion, we will discuss the image flow velocity field, which~r1k/MachineVisionBook/ Abstract. Curvilinear lines and surfaces are common geometrical objects in both structured and unstructured grid generation techniques.

Curves appear in grid considerations as the boundary segments of two-dimensional domains or surface patches and as the edges of three-dimensional :// Topology Abstraction of Surface Models for Three-Dimensional Grid Generation Article (PDF Available) in Engineering With Computers 17(1) May with Reads How we measure 'reads' The design, preparation and application of three-dimensional (3D) printed structures have gained appreciable interest in recent times, particularly for drug dosage development.

In this study, the Three-Dimensional Compound Comparison Methods and Their Application in Drug Discovery Woong-Hee Shin, 1 Xiaolei Zhu, 2 Mark G. Bures, 3 and Daisuke Kihara 1, 4, * 1 Department of Biological Science, Purdue University, West Lafayette, INUSA An extension to three-dimensional (3D) structures was achieved by using electrostatic self-assembly of AuNPs and protein cages, such as ferritins and virus particles, to create binary crystals Introduction: Coon's patch defines a surface by 4 curve segments that are connected in end-to-end, forming a closed curve chain.

For left, right, bottom, top boundary curves denoted by, convex sum (blending) defines two lofting surfaces from to and to. First patch interpolates and second patch interpolates Adding two patches. and evaluating at boundaries yields?SID=&view=html. () Molecular dynamics-based unstructured grid generation method for aerodynamic applications.

Computer Physics Communications() Effect of confinement on droplet deformation in shear :// Investigation of Three-Dimensional Mesh Generation with Precise Controls Article (PDF Available) January with 19 Reads How we measure 'reads' 姓名 夏军 性别 男 出生年月 年 1 月 学位 / 学历 博士 / 研究生 职称 教授 职务 导师类别 博导 招生方向 物理电子学、光学工程 联系电话 电子邮箱 [email protected] 教育背景： This is a new book on level set methods and Fast Marching Methods, which are numerical techniques for analyzing and computing interface motion in a host of settings.

The numerical techniques can be used to track three-dimensional complex fronts that can develop sharp corners and change topology as they ://~sethian//Publications/Book//book_html.

Chapter 10 Unstructured Mesh Generation Jonathan Richard Shewchuk of the knowledgeable user than do the grid generation codes. Two decades later, meshes are still a recurring bottleneck. The automatic prisms (for three-dimensional ~jrs/papers/ Virtual screening has been widely used in the drug discovery process.

Ligand-based virtual screening (LBVS) methods compare a library of compounds with a known active ligand. Two notable advantages of LBVS methods are that they do not require structural information of a target receptor and that they are faster than structure-based methods. LBVS methods can be classified based on the complexity Increased adoption of the systems approach to biological research has focused attention on the use of quantitative models of biological objects.

This includes a need for realistic three-dimensional ([3D][1]) representations of plant shoots for quantification and modeling. Previous limitations in single-view or multiple-view stereo algorithms have led to a reliance on volumetric methods or Linearization Curve Generation for CcMmYK Printing Ying X.

Noyes, Jon Y. Hardeberg, and Anatoly M. Moskalev Conexant Systems, Inc. Newport Beach, California, USA Abstract The linearization curve generation is an important step in printer color characterization. The typical purpose of the linearization curves in conventional four ink printing is to Mesh generation finds numerous applications.

To automatically generate suitable meshes for an arbitrary 2d and 3d domain is a very challenging task, and it has so far become a major bottleneck in applications. Mesh generation has evolved into an active field for research and () A general three-dimensional elliptic grid generation system on a composite block structure.

Computer Methods in Applied Mechanics and Engineering() G1 interpolation of generally unrestricted cubic Bézier :// Furthermore, they have become the standard for curve and surface description in various?elds such as visual arts and virtual reality applications [27].

One of the most appropriate ways to accomplish a piecewise linear approximation of trimmed rational B-spline patches is a triangular tessellation within a speci?ed geometric › 百度文库 › 互联网.

Hybrid prismatic/tetrahedral grid generation for viscous flows around complex geometries. A modified advancing layers mesh generation for thin three-dimensional objects with variable thickness. Computers & Graphics, Vol. 33, No. 3 Hybrid prismatic/tetrahedral grid generation for viscous flow :// The embodiments provide methods for use in designing and/or manufacturing optical systems.

Some embodiments further provide for the optical systems generated utilizing the methods for use in designing and/or manufacturing. In some embodiments, a method simultaneously generates first and second sets of span points (91, 92) defining first and second surfaces (Si, So), respectively, where sets of The book serves to be both a textbook and a reference for the theory and laboratory courses offered to undergraduate and graduate engineering students, and for practicing engineers.

- Selection from MATLAB® and Its Applications in Engineering: [Based on MATLAB (Rb)] [Book] Yue Li*, Zhijun Zhang, Zhenghe Feng, and H. Khaleel: ‘Fabrication and Measurement Techniques of Wearable and Flexible Antennas’, chapter 1 in ‘Innovation in Wearable and Flexible Antennas’, (ISBN ) edited by H.

Khaleel, WIT, Yue Li*, Jianfeng Zheng, and Zhenghe Feng: ‘Latest Progress in MIMO Antennas design’, Chapter 1 in ‘Wireless Communications ~liyue/ Bercovier M., Input to CFD Codes: The Challenge and the Problems of Mesh Generation.

2 nd WUA-CFD conf. In Basel, Proceedings, Muller et al editors, IHTF, Basel, May 4. Volpin O. and Berdcovier M: Bezier Mesh Type Surfaces: Application to In our modeling and grid generation concepts (see [7]) we want to end up with smooth untrimmed B-spline patches.

These can be provided by an easy implementable conversion of the Catmull-Clark limit surface. Thus, this scheme is the method of choice. We summarize its crucial properties (cf. [8]): straight line segment into Euclidean three-dimensional space.

A surface is a vector valued function of two parameters, u and v, and represents a mapping of a region of the uv plane into Euclidean three dimensional space. Thus a surface has a form S(u, v) = (x(u, v), y(u, v), z(u, v)).

In this section we shall discuss nonrational as Conventionally, the characterization of fractures in outcrop has been accomplished using direct measurement at the rock face using structural surveys (scanlines and/or cell mapping; e.g., Mauldon et al., ; Priest and Hudson, ) or interpretation of remotely sensed data (i.e., lineament and/or trace maps; e.g., Kim et al., ).However, both approaches suffer manifold disadvantages Mesh generation has a h uge literature and w e cannot hop e to co v er all of it.

There are excellen t references on n umerical metho ds [34, ], structured mesh generation [35, 61, 86,], and unstructured mesh generation [24 60 85 86]. There are also sev eral nice W eb sites [99, ] with up-to-date information on mesh ~jrs/meshpapers/ Quadtree-Based Triangular Mesh Generation for Finite Element Analysis of Heterogeneous Spatial Data.

Prabhakar Reddy G.V.S., Hubert J. Montas, Hanan Samet and Adel Shirmohammadi Biological Resources Engineering Department (except H.

Samet: Computer Science Department) University of Maryland at College Park College Park, MD, ~hjs/pubs/reddyasaepdf.

About This Book []. Blender 3D: Noob to Pro is a product of shared effort by numerous team members and anonymous editors. Its purpose is to teach people how to create three-dimensional computer graphics using Blender, a free software application.

This book is intended to be used in conjunction with other on-line resources that complement it::_Noob_to_Pro/Printable_Version. L. R. Hermann () Laplacian-Isoparametric Grid Generation Scheme, J. of the Engineering Mechanics Division of the American Society of Civil Engineers,pp.

– Google Scholar L. Kobbelt, J. Vorsatz, U. Labsik and H.P. Seidel () A shring wrapping approach to remeshing polygonal surfaces, Computer Graphics Forum, 18(3), pp. A triangular grid template of each grid cell was defined by the position of one of its vertices (phase), the orientation of the vector linking this vertex with one of its neighbors (orientation), and the intervertex distance (scale) (Hafting et al.

). The firing rate in the excitation map of this grid decreased exponentially with the square The embodiments provide methods for use in designing and/or manufacturing optical systems.

Some embodiments further provide for the optical systems generated utilizing the methods for use in designing and/or manufacturing. In some embodiments, a method simultaneously generates first and second sets of span points defining first and second surfaces, respectively, where sets of span points are