Publications:
- Kersey, S. and M.-J. Lai, Convergence of Local
Nonuniform Variational Interpolatory Refinements, submitted (2009).
- Kersey, S., Constrained Variational Refinement,
Journal of Computational and Applied Mathematics 223 (2009), 983--996.
- Kersey, S. and M.-J. Lai, Convergence of Local
Variational Spline Interpolation, J. Math. Anal. Appl. 341 (2008), 398--415.
- Kersey, S., Mixed
interpolating-smoothing splines and the $\nu$-spline, Journal of
Mathematical Analysis and Applications 322(1), (2006), 28--40.
- Kersey, S., Nonuniform,
local variational Subdivision, Wavelets and Splines, Eds. G. Chen
and M-J. Lai, Nashboro Press (2006), 260--270.
- Kersey, S., Sufficient
conditions for smooth
non-uniform variational refinement curves, Approximation Theory XI,
Eds. C. Chui, M. Neamtu and L. Schumaker, Nashboro Press, (Brentwood)
(2005), 185--196.
- Kersey, S., An abstract
formulation of
variational refinement, J. Approx. Theory. 130(2) (2004), 150--163.
- Kersey, S., Smoothing and
near-interpolatory
subdivided surfaces, Geometric modeling and computing: Seattle
2003, Eds. M. Lucian and M. Neamtu, Nashboro Press, (Brentwood) (2004),
353--364.
- Kersey, S., The effect
of parametrization
on subdivided curves, Advances in
Constructive Approximation, Eds. M. Neamtu and E. Saff (2004), 243--254.
- Kersey, S., Near-interpolation
to arbitrary
constraints, Curve and surface design: Saint-Malo 2003, Eds. L.
Schumaker, T. Lyche, M. Mazure, Nashville Press (2003), 235--244.
- Kersey, S., On the
problems of smoothing
and near-interpolation, Math. Comp. 72 (2003), 1873--1885.
(The original publication is available at http://www.ams.org/jourcgi/jrnl_toolbar_nav/mcom_all.)
- Kersey, S., Near-interpolation,
Numer.
Math. 94(3) (2003),
523--540. (The original publication is
available at http://www.springerlink.com.)
- Kersey, S. Best
near-interpolation by curves:
Existence,
SIAM J. Numer. Anal. 38(5)
(2000), 1666--1675. (The original
publication is available at http://epubs.siam.org/sam-bin/dbq/toclist/SINUM.)
- Barnhill, R., Frost, T. and S. Kersey,
Self-intersections and offset surfaces, in Geometry processing for design and
manufacturing, (R. Barnhill, ed.), SIAM, Philadelphia, PA
(1992), 35--44.
- Barnhill. R. and S. Kersey, A marching method for
parametric surface-surface intersection, in Curves and surfaces in CAGD '89
(Oberwolfach, 1989), Computer Aided Geometric Design 7(1-4) (1990), 257--280.