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Practical Uses of Sampling Theorem

CSEF · 2004 Mathematics & Software

Philip Q. Shao · Colina Middle School, Thousand Oaks

Overview

Objectives/Goals The purpose of this experiment is to find the most efficient number of frames to capture key elements of a motion, and if the theoretical sampling rate works for the motion of a human being. Methods/Materials Using the plotting features of excel, I simulated human motion with a sinusoidal function. In parallel I took a movie of my brother doing a directed set of repetitive motions. I picked out frames of this movie based upon the excel simulation and ranked each sequence in order of how well it represents the true motion. Conclusions/Discussion I concluded that the theoretical minimum sampling rate is a fantastic guideline but is not entirely accurate on specimens like human beings whose motion is not a true sinusoidal function no matter how well they are trained. With this experiment, I was able to reduce the number of frames needed to capture the motion by 96% from 400 to 16 frames.

Summary statement

My project sets out to find the minimum number of frames needed to accurately describe a repetitive motion.

Help received

Mother helped proofread report and board layout.

Awards (1)

  • Category Award

Competition history

  • CSEF 2004 Mathematics & Software · Entry J1218

Resources

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