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- Gerald E. Farin
- Computer science and scientific computing
- 1990

One day, you will discover a new adventure and knowledge by spending more money. But when? Do you think that you need to obtain those all requirements when having much money? Why don't you try to get something simple at first? That's something that will lead you to know more about the world, adventure, some places, history, entertainment, and more? It is… (More)

- Gerald E. Farin
- Computer Aided Geometric Design
- 1986

- Gerald E. Farin
- Computer science and scientific computing
- 1992

Find the secret to improve the quality of life by reading this curves and surfaces for computer aided geometric design a practical guide third edition . This is a kind of book that you need now. Besides, it can be your favorite book to read after having this book. Do you ask why? Well, this is a book that has different characteristic with others. You may… (More)

- Gerald FARIN
- 1986

4. Hermite Interpolants . . , . . . . . . . . . . . . . 104 4.1. The Co nine parameter interpolant ...... 104 4.2. C’ quintic interpolants .............. 104 4.3. The general case ................... 106 5. Split Triangle Interpolants . . . . . . . . . 107 5.1. The C’ Clough-Tocher interpolant . . _ . . 108 5.2. Limitations of the Clough-Tocher split . 110… (More)

- Gerald E. Farin
- Computer Aided Geometric Design
- 1990

We develop a new class of surfaces, based on the concept of Btzier simplices expressed in terms of Sibson’s natural neighbor coordinates. We also show how these surfaces may be utilized for scattered data interpolation.

Of late we have seen an increase in the use of subdivision techniques for both modeling and animation. They have given rise to a new surface called the subdivision surface which has many advantages over traditional Non Uniform Rational B-spline (NURB) surfaces. Subdivision surfaces easily address the issues related to multiresolution, re nement, scalability… (More)

- Gerald E. Farin
- 1999

- Gerald E. Farin
- ACM Trans. Graph.
- 1989

In this paper the construction of curvature continuous, planar curves (open or closed) that consist of conic segments, represented in the rational Bézier form, is discussed, and an iterative procedure to compute their offset curves is outlined.

- Gerald E. Farin
- IEEE Computer Graphics and Applications
- 1992

The main geometric features of the nonuniform rational B-splines (NURBS) curve and surface representations are described. It is shown that most of these features are already exhibited by conics, which are a special case of NURBS. The properties typical of NURBS are discussed without dwelling on properties already present in polynomial curves. Conic sections… (More)

- Nickolas S. Sapidis, Gerald E. Farin
- Computer-Aided Design
- 1990