Quadratic B Splines For Automatic Curve And Surface Fitting
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| Author | : Gheorghe Micula |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 622 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9401153388 |
The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.
| Author | : Paul Dierckx |
| Publisher | : Oxford University Press |
| Total Pages | : 308 |
| Release | : 1995 |
| Genre | : Computers |
| ISBN | : 9780198534402 |
The fitting of a curve or surface through a set of observational data is a very frequent problem in different disciplines (mathematics, engineering, medicine, ...) with many interesting applications. This book describes the algorithms and mathematical fundamentals of a widely used software package for data fitting with (tensor product) splines. As such it gives a survey of possibilities and benefits but also of the problems to cope with when approximating with this popular type of function. In particular it is demonstrated in detail how the properties of B-splines can be fully exploited for improving the computational efficiency and for incorporating different boundary or shape preserving constraints. Special attention is also paid to strategies for an automatic and adaptive knot selection with intent to obtain serious data reductions. The practical use of the smoothing software is illustrated with many examples, academic as well as taken from real life.
| Author | : Sergey Ablameyko |
| Publisher | : SPIE Press |
| Total Pages | : 186 |
| Release | : 1997 |
| Genre | : Art |
| ISBN | : 9780819423801 |
The image analysis community has put much effort into developing systems for the automatic reading of various types of documents containing text, graphic information, and pictures. A closely related but much more problematic task is the reading and interpretation of line drawings such as maps, engineering drawings, and diagrams. This book considers the problem in detail, analyzes its theoretical foundations, and analyzes existing approaches and systems.
| Author | : Nico Karssemeijer |
| Publisher | : Springer |
| Total Pages | : 794 |
| Release | : 2007-07-14 |
| Genre | : Computers |
| ISBN | : 354073273X |
This book constitutes the refereed proceedings of the 20th International Conference on Information Processing in Medical Imaging, IPMI 2007, held in Kerkrade, The Netherlands, in July 2007. It covers segmentation, cardiovascular imaging, detection and labeling, diffusion tensor imaging, registration, image reconstruction, functional brain imaging, as well as shape models and registration.
| Author | : Sergey Ablameyko |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 289 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 1447107896 |
Line drawing interpretation is a challenging area with enormous practical potential. At present, many companies throughout the world invest large amounts of money and human resource in the input of paper drawings into computers. The technology needed to produce an image of a drawing is widely available, but the transformation of these images into more useful forms is an active field of research and development. Machine Interpretation of Line Drawing Images - describes the theory and practice underlying the computer interpretation of line drawing images and - shows how line drawing interpretation systems can be developed. The authors show how many of the problems can be tackled and provide a thorough overview of the processes underpinning the interpretation of images of line drawings.
| Author | : Peter Lancaster |
| Publisher | : |
| Total Pages | : 296 |
| Release | : 1986 |
| Genre | : Mathematics |
| ISBN | : |
The purpose of this book is to reveal the foundations and major features of several basic methods for curve and surface fitting that are currently in use.
| Author | : Hartmut Prautzsch |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 299 |
| Release | : 2013-04-17 |
| Genre | : Computers |
| ISBN | : 3662049198 |
This book provides a solid and uniform derivation of the various properties Bezier and B-spline representations have, and shows the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric Design and provides a clear and illustrative presentation of the basic principles, as well as a treatment of advanced material including multivariate splines, some subdivision techniques and constructions of free form surfaces with arbitrary smoothness. The text is beautifully illustrated with many excellent figures to emphasize the geometric constructive approach of this book.
| Author | : G. Farin |
| Publisher | : Elsevier |
| Total Pages | : 849 |
| Release | : 2002-08-13 |
| Genre | : Computers |
| ISBN | : 0444511040 |
This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.
| Author | : Les Piegl |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 650 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 3642592236 |
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'URBS 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 | : Nickolas S. Sapidis |
| Publisher | : SIAM |
| Total Pages | : 316 |
| Release | : 1994-01-01 |
| Genre | : Computers |
| ISBN | : 0898713323 |
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.
