It is the resource on the subject of nurbs, bar none. I cannot overstate the utility of this book to me and my own research, and i am sure i am not unique in that regard. This book covers all aspects of nonuniform rational b splines necessary to design geometry in a computeraided environment. The nurbs book monographs in visual communication 9783540615453. Nurbs are commonly used in computeraided design, manufacturing, and engineering. Piegl l and tiller w 2000 reducing control points in surface interpolation, ieee computer graphics and applications, 20. Nurbs are now also being used for modeling scenes for virtual reality applications. Wayne tillers research works great circle, springfield and. The font being small and the wireframe diagrams being a bit hard to. The nurbs book monographs in visual communication by les piegl, wayne tiller the nurbs book monographs in visual communication by les piegl, wayne tiller until recently bspline 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. It is written for the average engineer with elementary knowledge of college mathematics and computing. A third requirement is to be able to refer to this entity as p i, just as its mathematical abstraction is referred to in the book. Wayne tiller and a great selection of similar new, used and collectible books.
He has 28 years experience in applied mathematics, computer science and software development. It offers great flexibility and precision for handling both analytic surfaces defined by common mathematical formulae and modeled shapes. A nurbs curve parameterized by u is represented as c u i f i u p i, where the p i are control points that determine the shape of the curve, and the f i u are the rational basis functions, each nonzero on one knot span. Basic bspline features, curve and surface algorithms, and stateoftheart geometry tools are all discussed. The nurbs book monographs in visual communication kindle. The nurbs book monographs in visual communication 9783540615453 by les a. Today we are seeing expanded use of nurbs in modeling objects for the visual arts, including the film and entertainment industries, art, and sculpture. Wayne tiller and a great selection of similar new, used and collectible books available now at great prices.
An algorithm for approximating arbitrary nurbs curves with biarcs is presented. Until recently bspline curves and surfaces nurbs were principally of. The book covers all aspects of nonuniform rational b splines necessary to design geometry in a computeraided environment. Or, for example, when dealing with curvecurve intersection, he might descend his thinking to the level of the control polygon if the overlapping of bounding boxes is what needs to be examined. Aside from introductory material, this book focuses exclusively on nurbs curves and surfaces. Oct 04, 20 the nurbs book covers all aspects of nonuniform rational b splines necessary to design geometry in a computer aided environment.
This is one of those books that seems to preclude the writing of any further books on the topic. This technology is extensively documented in the nurbs book by les piegl and wayne tiller, the original authors of. My students and i have done research in fundamental graphics algorithms, curve and surface modeling, geometry processing for solid modeling and manufacturing, surface and volume triangulations, terrain modeling, genetic algorithms, reverse engineering, nurbs, bioengineering, knowledgeguided computation and faulttolerant design. Wayne tiller nurbs nonuniform rational b splines are a geometric tool used for computeraided design. The nurbs book by piegl, les tiller, wayne until recently bspline 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. Detailed code for design algorithms and computational tricks are covered too, in a lucid, easyto. The nurbs book monographs in visual communication ebook. The second, revised edition of this book covers all aspects of nonuniform rational b splines necessary to design geometry in a computeraided environment.
The nurbs book edition 2 by les piegl, wayne tiller. Isbn 9783540615453 the nurbs book 2nd edition direct. The nurbs book les piegl, wayne tiller anteprima limitata 2012. Until recently bspline 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. Bspline curves and surfaces have been an enduring element throughout my pro fessional life. Until recently bspline curves and surfaces nurbs were principally of interest to the computer aided design.
The nurbs book piegl, les tiller, wayne 9783540615453 hpb. Nonuniform rational basis spline nurbs is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. Welcome to the the nurbs book, a publication of springerverlag. Les piegl wayne tiller the nurbs book with 334 figures in 578 parts springer. Everyday low prices and free delivery on eligible orders. The nurbs book les piegl and wayne tiller paperback 646 pages, 578 illustrations springerverlag, new york, ny second edition, 1997 isbn 3540615458 click here to place an order. Isbn 9783540615453 the nurbs book 2nd edition direct textbook. The font being small and the wireframe diagrams being a bit hard to interpret are my only criticisms of this book. For example, when dealing with curves for interactive design, he works with them without regard to the number of control points and knots.
Tillerparametrization for surface fitting in reverse engineering. The nurbs book covers all aspects of nonuniform rational b splines necessary to design geometry in a computer aided environment. Tiller, wayne, 1942publication date 1997 topics spline theory, computeraided design, dil teorisi, bilgisayaryardmc tasarm, processamento grafico graphics, splines, theorie des, conception assistee par ordinateur, splines, computergraphics. He has worked in the area of nurbs geometry since 1981, conducting research and implementing software.
To offer the user more control over the model, this work describes a methodology and tool developed for nurbs parameterization that provides mechanisms for adjusting the shape or even selecting a particular region of interest of the surface. Some classic methods are provided by piegl and tiller 10 by decomposing a nurbs surface into quadrilaterals, projecting the test point onto the closest quadrilateral, and then recovering the. Point inversion and projection for nurbs curve and surface. The only competition out there to piegl and tiller s seminal work is gerald farins stuff. Khodakovsky a and schroder p fine level feature editing for subdivision surfaces proceedings of the fifth acm symposium on solid modeling and applications, 203211. Buy the nurbs book monographs in visual communication 2 by piegl, les isbn. Nlib is a c library filled with an extensive set of robust functions that lies at the core of implementing nonuniform rational bspline nurbs technology. Until recently bspline curves and surfaces nurbs were principally of interest to the computer aided design community, where they have become the standard. Wayne tiller the second, revised edition of this book covers all aspects of nonuniform rational b splines necessary to design geometry in a computeraided environment. Les piegl wayne tiller the nurbs book second edition with 334 figures in 578 parts a springer.
Heterogeneous modeling of medical image data using bspline functions, journal of engineering in medicine, 22610, 2012, 737751. Detailed code for design algorithms and computational tricks are covered too, in a lucid, easytounderstand style, with a minimum of mathematics and using. Wayne tillers research works great circle, springfield. In addition, it plays a dual role as a control point for bspline computations and as a euclidean point used for simple geometric manipulations, such as computing distances, bounding boxes, and so on. If you need to know about or use bezier curves, b splines or nurbs, you need this book. This book introduces all aspects of nurbs at a level suitable for both students and implementors. The nurbs book covers all aspects of nonuniform rational bsplines necessary to design geometry in a computer aided environment. Search for library items search for lists search for contacts search for a library. Librarything is a cataloging and social networking site for booklovers. The only competition out there to piegl and tillers seminal work is gerald farins stuff. Find 9783540615453 the nurbs book 2nd edition by piegl et al at over 30 bookstores. Today we are seeing expanded use of nurbs in modeling objects for the visual arts, including the film and entertainment industries, art. Ieee computer graphics and applications 11 1, 5571, 1991. The main idea is to approximate the nurbs curve with a polygon, and then to approximate the polygon with biarcs to within the required tolerance.
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