JSM 2003 Online Program

Abstract #301470

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Activity Number:	466
Type:	Contributed
Date/Time:	Thursday, August 7, 2003 : 10:30 AM to 12:20 PM
Sponsor:	Section on Survey Research Methods
Abstract - #301470
Title:	Sampling on Curves and Surfaces: Some Examples
Author(s):	Dhirendra N. Ghosh*+ and Andrew Vogt
Companies:	Synectics for Management Decisions, Inc. and Georgetown University
Address:	1714 Rupert St., McLean, VA, 22101-5451,
Keywords:
Abstract:	An algorithm for sampling on curves and surfaces was developed by the authors (1997). For curves (x(t), y(t)) in the plane or (x(t), y(t), z(t)) in space, a < t < b, where x, y, and z are piecewise continuously differentiable functions, points can be sampled by choosing t values from a to b non-uniformly so that t intervals get weights proportional to their arc length. For a surface a similar procedure is followed with a surface area element replacing the arc length element. We demonstrate the algorithm for two curves, one in the plane and one in space, and for two surfaces, one developable and one not.

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