University of Connecticut
Computer Science and Engineering

Dr. John Roulier

"Out of clutter, find simplicity. From discord, find harmony. In the middle of difficulty, lies opportunity. "

- A. Einstein

"It is not knowledge, but the act of learning, not possession, but the act of getting there which generates the greatest satisfaction."

- F. Gauss

Courses

Education

Personal Information

Research Interests

• Geometric modeling -- Computer generation of curves and surfaces
• Computational geometry
• Numerical analysis -- Shape preserving interpolation and approximation
• Approximation theory
• Computer graphics, CAD

Professional and Honor Societies

• Society of the Sigma Xi
• Society for Industrial and Applied Mathematics
• Upsilon Pi Epsilon

Selected Previous Grants/Contracts

• Yankee Ingenuity Initiative Charles Goodyear Cooperative Research and Development Grants, "High Speed, Real-Time Computer Techniques for Analysis of 3D Ultrasonic Data" Co-Principal Investigators are H. A. Sholl, R. Ammar and J. A. Roulier. Sept. 1, 1995 through Aug. 31, 1997.

• Connecticut Department of Higher Education High Technology Project and Program Grant, 1989 "Enhancing the Clinical Role of Magnetic Resonance Imaging" (co-investigator with I. Greenshields).

• NSF Grant from 6/15/86 to 11/30/88 "Shape Preserving Curve and Surface Interpolation with Applications to Computer Graphics and Computer Aided Design"

• NASA Grant From 3/1/81 to 8/31/83, "An Investigation of Shape Preserving Curve and Surface Approximation with Applications"

Selected Recent Publications

1. "Preserving Computational Topology by Subdivision of Quadratic and Cubic Bézier Curves" Computing 79 (2007), pp. 317-323. (with E. L. F. Moore and T. J. Peters). 
2. " Prescribing the Length of Parametric Curves " Computer Aided Geometric Design 13 (1996), pp. 3-22. (with Bruce Piper).
3. " Prescribing the Length of Rational Bézier Curves ", Computer Aided Geometric Design 13 (1996), pp. 23-43. (with Bruce Piper).
4. " Measures of Fairness for Curves and Surfaces" , in Designing Fair Curves and Surfaces, N. Sapidis (ed.), SIAM, Philadelphia, (1994), pp. 75-122. (with T. Rando).
5. " Interpolation with an Arc Length Constraint", in Curves and Surfaces in Geometric Design, P. J. Laurent, A. Le Méhauté, and L. L. Schumaker (eds.), A. K. Peters, Wellesley, (1994), pp. 393-400. (with Bruce Piper).
6. " Curves with Monotone Curvature from Bézier Curves of Specified Arc Length ", in Geometric Modeling for Product Realization , IFIP Transactions B-8, P. Wilson, M. Wozny, and M. Pratt eds., North-Holland, (1993), pp. 1-12.
7. " Specifying the Arc Length of Bézier Curves " , Computer Aided Geometric Design 10 (1993), pp. 25-56.
8. " Algorithms for Local Convexity of Bézier Curves and Surfaces " , in Curves and Surfaces, Academic Press, (1991), pp. 403-406. (with T. Rando)
9. " Designing Faired Parametric Surfaces " , Computer Aided Design 23(1991), pp. 492-497. (with T. Rando)
10. " Fairness and Monotone Curvature " , in Approximation Theory and Functional Analysis, Academic Press, (1991), pp. 177-199. (with T. Rando and B. Piper)
11. " Fair Curves and Surfaces ", Approximation Theory VI vol. 2, Academic Press, (1989), pp. 553-556. (with T. Rando)
12. " Bézier Curves of Positive Curvature ", Computer Aided Geometric Design 5(1988), pp. 59-70.

Courses Fall 2007

CSE/ECE 257 Numerical Methods in Scientific Computation

Math 113Q Section 003 Introductory Calculus 2

Courses Spring 2008

Math 282 Numerical Analysis II