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Jeff Walker
06-26-1997, 01:32 AM
QuickSAND.004 (Quick Smoothing And Numerical Differentiation for the Power
Macintosh) has been uploaded (http://jaw.fmnh.org/ND.html>. QuickSAND is
freeware.

Routines now include

1. Generalized Cross-Validatory Spline Smoothing and Differentiation
(Woltring 1986).

2. Kasarov-Pantos approximation of the optimal Wiener filter (Gazzani 1994).

3. LAMBDA (Linear-phase Autoregressive Model-Based Derivative Assessment
Algorithm) (D'Amico & Ferrigno 1990, 1992). NEW!

4. Piecewise polynomial of any piecelength and polynomial order up to 20
(Lanshammar 1982). NEW!

5. 4th central difference smoothing and differentiation (Lanczos 1957). NEW!

References:

D'Amico M, Ferrigno G. 1990. Technique for the evaluation of derivatives
from noisy biomechanical displacement data using a model-based
bandwidth-selection
procedure. Medical & Biological Engineering & Computing 28: 407-415.

D'Amico M, Ferrigno G. 1992. Comparison between the more recent techniques
for smoothing and derivative assessment in biomechanics. Medical &
Biological
Engineering & Computing 30: 193-204.

Gazzani F. 1994. Comparative assessment of some algorithms for
differentiating noisy biomechanical data. International Journal of
Bio-Medical Computing 37:
57-76.

Lanczos C. 1957. Applied Analysis. London: Isaac Pitman & Sons. Reprinted
by Dover, 1988.

Lanshammar H. 1982. On practical evaluation of differentiation techniques
for human gait analysis. Journal of Biomechanics 15: 99-105.

Woltring HJ. 1986. A Fortran package for generalized, cross-validatory
spline smoothing and differentiation. Advances in Engineering Software 8:
104-107.


Cheers,

Jeff


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Jeff Walker
Dept. of Zoology
Field Museum of Natural History
Roosevelt Rd. at Lake Shore Dr.
Chicago, IL 60605, USA
phone: 312-922-9410 x537 fax: 312-427-7269
email: walker@fmppr.fmnh.org
web: http://jaw.fmnh.org/Home.html

"I like practical applications in mathematics, rather than speculating
about the first ten to the minus something seconds of the universe.
Cosmology seems to be almost too close to theology to be interesting.
To me, it is not quite science, but more like creation myth."

- Sir James Lighthill
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