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. Bspline curves and surfaces have been an enduring element throughout my pro fessional life. Heterogeneous modeling of medical image data using bspline functions, journal of engineering in medicine, 22610, 2012, 737751. Until recently bspline curves and surfaces nurbs were principally of interest to the computer aided design. Welcome to the the nurbs book, a publication of springerverlag.
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. 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. 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. This is one of those books that seems to preclude the writing of any further books on the topic. Wayne tiller nurbs nonuniform rational b splines are a geometric tool used for computeraided design. Librarything is a cataloging and social networking site for booklovers. Tillerparametrization for surface fitting in reverse engineering. Detailed code for design algorithms and computational tricks are covered too, in a lucid, easytounderstand style, with a minimum of mathematics and using. Isbn 9783540615453 the nurbs book 2nd edition direct textbook. Detailed code for design algorithms and computational tricks are covered too, in a lucid, easyto. The nurbs book edition 2 by les piegl, wayne tiller.
Isbn 9783540615453 the nurbs book 2nd edition direct. Aside from introductory material, this book focuses exclusively on nurbs curves and surfaces. This book introduces all aspects of nurbs at a level suitable for both students and implementors. An algorithm for approximating arbitrary nurbs curves with biarcs is presented. 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. Find 9783540615453 the nurbs book 2nd edition by piegl et al at over 30 bookstores. The nurbs book piegl, les tiller, wayne 9783540615453 hpb. 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. It is written for the average engineer with elementary knowledge of college mathematics and computing. It is the resource on the subject of nurbs, bar none. Nonuniform rational basis spline nurbs is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. He has 28 years experience in applied mathematics, computer science and software development. 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. Point inversion and projection for nurbs curve and surface.
Today we are seeing expanded use of nurbs in modeling objects for the visual arts, including the film and. The nurbs book monographs in visual communication kindle. Nurbs book to be part of the monographs in visual communication series. This technology is extensively documented in the nurbs book by les piegl and wayne tiller, the original authors of. Basic bspline features, curve and surface algorithms, and stateoftheart geometry tools are all discussed. Piegl and tiller offer an excellent source of information on nurbs nonuniform rational bspines, which fills a very large gap in the technical literature related to cadcamcae.
Ieee computer graphics and applications 11 1, 5571, 1991. Wayne tillers research works great circle, springfield and. Les piegl wayne tiller the nurbs book second edition with 334 figures in 578 parts a springer. He has worked in the area of nurbs geometry since 1981, conducting research and implementing software. 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. Piegl, wayne tiller visualizzazione frammento 1995. Buy the nurbs book monographs in visual communication 2 by piegl, les isbn. 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. 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. It offers great flexibility and precision for handling both analytic surfaces defined by common mathematical formulae and modeled shapes. Today we are seeing expanded use of nurbs in modeling objects for the visual arts, including the film and entertainment industries, art, and sculpture. Oct 04, 20 the nurbs book covers all aspects of nonuniform rational b splines necessary to design geometry in a computer aided environment. Les piegl wayne tiller the nurbs book with 334 figures in 578 parts springer. The nurbs book monographs in visual communication ebook.
Nurbs are now also being used for modeling scenes for virtual reality applications. Nurbs are commonly used in computeraided design, manufacturing, and engineering. The only competition out there to piegl and tillers seminal work is gerald farins stuff. Until recently bspline curves and surfaces nurbs were principally of. The nurbs book monographs in visual communication 9783540615453. If you need to know about or use bezier curves, b splines or nurbs, you need this book. 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. The font being small and the wireframe diagrams being a bit hard to. The nurbs book covers all aspects of nonuniform rational bsplines necessary to design geometry in a computer aided environment. The nurbs book monographs in visual communication 9783540615453 by les a. 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. Piegl l and tiller w 2000 reducing control points in surface interpolation, ieee computer graphics and applications, 20. 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. Wayne tiller and a great selection of similar new, used and collectible books.
The nurbs book covers all aspects of nonuniform rational b splines necessary to design geometry in a computer aided environment. Everyday low prices and free delivery on eligible orders. Today we are seeing expanded use of nurbs in modeling objects for the visual arts, including the film and entertainment industries, art. Wayne tillers research works great circle, springfield. The book covers all aspects of nonuniform rational b splines necessary to design geometry in a computeraided environment.
The only competition out there to piegl and tiller s seminal work is gerald farins stuff. Wayne tiller and a great selection of similar new, used and collectible books available now at great prices. Search for library items search for lists search for contacts search for a library. 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. 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. The font being small and the wireframe diagrams being a bit hard to interpret are my only criticisms of this book. 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.