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Author: Kang Zhao Publisher: Kang Zhao ISBN: Category : Science Languages : en Pages : 74
Book Description
What is spline and why use splines? What is B-spline and why use B-splines? What is B-spline curve and what is B-spline curve of periodic knots? How to construct B-spline curves to fit points? If you need answers for these questions then this book is right for you. It takes a Show and Tell approach that guides readers to understand the mathematical basics and master the computer programming skills of splines. The B-splines are introduced by means of Marsden Identity so to avoid the recursive definitions. Many Python code snippets are presented along with their numerical and graphical outputs to show how the spline knowledge learned in this book is used in solving numerical problems.
Author: Kang Zhao Publisher: Kang Zhao ISBN: Category : Science Languages : en Pages : 74
Book Description
What is spline and why use splines? What is B-spline and why use B-splines? What is B-spline curve and what is B-spline curve of periodic knots? How to construct B-spline curves to fit points? If you need answers for these questions then this book is right for you. It takes a Show and Tell approach that guides readers to understand the mathematical basics and master the computer programming skills of splines. The B-splines are introduced by means of Marsden Identity so to avoid the recursive definitions. Many Python code snippets are presented along with their numerical and graphical outputs to show how the spline knowledge learned in this book is used in solving numerical problems.
Author: Les Piegl Publisher: Springer Science & Business Media ISBN: 364297385X Category : Computers Languages : en Pages : 650
Book Description
Until recently B-spline curves and surfaces (NURBS) were principally of interest to the computer aided design community, where they have become the standard for curve and surface description. Today we are seeing expanded use of NURBS in modeling objects for the visual arts, including the film and entertainment industries, art, and sculpture. NURBS are now also being used for modeling scenes for virtual reality applications. These applications are expected to increase. Consequently, it is quite appropriate for The.N'U'R-BS Book to be part of the Monographs in Visual Communication Series. B-spline curves and surfaces have been an enduring element throughout my pro fessional life. The first edition of Mathematical Elements for Computer Graphics, published in 1972, was the first computer aided design/interactive computer graph ics textbook to contain material on B-splines. That material was obtained through the good graces of Bill Gordon and Louie Knapp while they were at Syracuse University. A paper of mine, presented during the Summer of 1977 at a Society of Naval Architects and Marine Engineers meeting on computer aided ship surface design, was arguably the first to examine the use of B-spline curves for ship design. For many, B-splines, rational B-splines, and NURBS have been a bit mysterious.
Author: Carla Manni Publisher: Springer Nature ISBN: 3030923134 Category : Mathematics Languages : en Pages : 386
Book Description
This book collects selected contributions presented at the INdAM Workshop "Geometric Challenges in Isogeometric Analysis", held in Rome, Italy on January 27-31, 2020. It gives an overview of the forefront research on splines and their efficient use in isogeometric methods for the discretization of differential problems over complex and trimmed geometries. A variety of research topics in this context are covered, including (i) high-quality spline surfaces on complex and trimmed geometries, (ii) construction and analysis of smooth spline spaces on unstructured meshes, (iii) numerical aspects and benchmarking of isogeometric discretizations on unstructured meshes, meshing strategies and software. Given its scope, the book will be of interest to both researchers and graduate students working in the areas of approximation theory, geometric design and numerical simulation. Chapter 10 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Author: Paul Tran Publisher: SDC Publications ISBN: 1630572241 Category : Computers Languages : en Pages : 785
Book Description
SOLIDWORKS 2019 Advanced Techniques picks up where SOLIDWORKS 2019 Intermediate Skills leaves off. Its aim is to take you from an intermediate user with a basic understanding of SOLIDWORKS and modeling techniques to an advanced user capable of creating complex models and able to use the advanced tools provided by SOLIDWORKS. The text covers parts, surfaces, SimulationXpress, sheet metal, top-down assemblies and core and cavity molds. Every lesson and exercise in this book was created based on real world projects. Each of these projects has been broken down and developed into easy and comprehensible steps. Furthermore, at the end of every chapter there are self test questionnaires to ensure that you have gained sufficient knowledge from each section before moving on to more advanced lessons. This book takes the approach that in order to understand SOLIDWORKS, inside and out, you should create everything from the beginning and take it step by step. Who this book is for This book is for the intermediate to advanced user who has already completed the SOLIDWORKS Basic Tools book and may have also completed the SOLIDWORKS Intermediate Skills book. People who are very familiar with SOLIDWORKS and its add ins will also find this book to be a valuable resource.
Author: Paul Tran Publisher: SDC Publications ISBN: 1630572365 Category : Computers Languages : en Pages : 639
Book Description
SOLIDWORKS 2019 Intermediate Skills is part of a three part series which builds on the SOLIDWORKS features learned in SOLIDWORKS 2019 Basic Tools. SOLIDWORKS 2019 Intermediate Skills broadens your SOLIDWORKS knowledge base by covering such features as surveys, lofts and boundaries, the use of multibodies, generating engineering drawings and other SOLIDWORKS functions that are critical for the effective use of this powerful software. This book helps prepare you for the advanced features of SOLIDWORKS which are covered in SOLIDWORKS Advanced Techniques. It uses a step by step tutorial approach with real world projects. This book also features a Quick-Reference-Guide to the SOLIDWORKS 2019 commands, icons, and customized hotkeys. Who’s this book for? This book is for the mid-level user, who is already familiar with the SOLIDWORKS program. It is also a great resource for the more CAD literate individuals who want to expand their knowledge of the different features that SOLIDWORKS 2019 has to offer.
Author: David F. Rogers Publisher: Morgan Kaufmann ISBN: 1558606696 Category : Computers Languages : en Pages : 344
Book Description
NURBS (Non-uniform Rational B-Splines) are the computer graphics industry standard for curve and surface description. They are now incorporated into all standard computer-aided design and drafting programs (for instance, Autocad). They are also extensively used in all aspects of computer graphics including much of the modeling used for special effects in film and animation, consumer products, robot control, and automobile and aircraft design. So, the topic is particularly important at this time because NURBS are really at the peak of interest as applied to computer graphics and CAD of all kind.
Author: Stephen Mann Publisher: Springer Nature ISBN: 3031795164 Category : Mathematics Languages : en Pages : 97
Book Description
In this lecture, we study Bézier and B-spline curves and surfaces, mathematical representations for free-form curves and surfaces that are common in CAD systems and are used to design aircraft and automobiles, as well as in modeling packages used by the computer animation industry. Bézier/B-splines represent polynomials and piecewise polynomials in a geometric manner using sets of control points that define the shape of the surface. The primary analysis tool used in this lecture is blossoming, which gives an elegant labeling of the control points that allows us to analyze their properties geometrically. Blossoming is used to explore both Bézier and B-spline curves, and in particular to investigate continuity properties, change of basis algorithms, forward differencing, B-spline knot multiplicity, and knot insertion algorithms. We also look at triangle diagrams (which are closely related to blossoming), direct manipulation of B-spline curves, NURBS curves, and triangular and tensor product surfaces.
Author: Kang Zhao
Author: Kang Zhao
Author: Les Piegl
Author: Carla Manni
Author: 
Author: Paul Tran
Author: Paul Tran
Author: David F. Rogers
Author: Stephen Mann
Author: Defense Logistics Services Center (U.S.)
Author: