jyen@hplabs.hpl.hp.com (Jonathan Yen) (04/09/91)
Announcing a one week course entitled: Theory and Implementation of
Non-uniform Rational B-splines Curves and Surfaces (NURBS).
Date and Time: June 3-7, 1991, 9:00am-4:30pm.
Location: University of Texas at Tyler.
Instructor: Dr. Wayne Tiller.
Fee: $895.00
This course will cover the mathematical theory and computer implementation
of NURBS curves and surfaces. An intuitive, geometric approach to the
material will be taken. Ample time will be devoted to working through
detailed examples. An extensive set of notes, complete with exercises,
will accompany the course.
Topics will include:
- Review of parametric curves and surfaces. Bezier curves and surfaces.
- Rational Bezier curves and surfaces.
- Nonrational B-spline curves and surfaces.
- Rational B-spline curves and surfaces: definition, properties, derivatives.
- Knot insertion, degree elevation.
- Point and derivative evaluation.
- Curve construction: conics, circle.
- Surface construction: natural quadrics, ruled and skinned surfaces,
surfaces of revolution.
- Curve and surface fitting and interpolation.
- Trimmed NURBS surfaces, trimming curves.
- Geometry conversion algorithms, eg. NURBS to piecewise Bezier to Power
Basis and back.
- Data structures and implementation considerations.
Who should attend:
- Developers/Implementors who are interested in NURBS geometry.
- Users of the technology and lower to middle level technical managers
who wish to acquire a better intuitive understanding of NURBS geometry.
About the instructor:
Dr. Wayne Tiller is Assistant Professor of Computer Science at The
University of Texas at Tyler. Dr. Tiller has over 19 years of industrial
experience in applied mathematics and computer science. From 1981 to
1990, he was Senior Mathematician and Technical Fellow at Structural
Dynamics Research Corporation (SDRC), where he developed NURBS technology
and participated in the development of that company's solid modeling
software. He also served on the IGES Geometry Subcommittee from 1982 to
1984. He has published a number of research papers in the area of
geometric modeling and has taught courses on this topic at the University
of Cincinnati and at SIGGRAPH.
Prerequisites:
Course participants should have a good working knowledge of analytic
geometry, differential calculus, and matrix algebra. They should also
have basic understanding of parametric curve and surface representation
in geometric modeling. No knowledge of B-spline geometry is assumed.
For further information call: (903) 566-7362 ,
the Office of Continuing Education, UT Tyler.
Or write: Continuing Education
University of Texas at Tyler
3900 University Blvd.
Tyler, TX 75701-6699