Title :
An online polygonal approximation of digital signals and curves with Dynamic Programming algorithm
Author :
Kolesnikov, Alexander
Author_Institution :
Dept. of Comput. Sci. & Stat., Univ. of Joensuu, Joensuu
Abstract :
A fast online algorithm was developed for polygonal approximation of signals and curves with a minimum number of line segments for a given constraint on the standard deviation of the approximation error. A continuous Dynamic Programming search with piecewise backtracking of the locally optimal solutions is performed in overlapping windows. The developed online algorithm can be used for polygonal approximation of data streams, time series, digital signals, curves, and trajectories.
Keywords :
approximation theory; dynamic programming; search problems; signal processing; statistical analysis; approximation error; continuous dynamic programming search; curves; data streams; digital signals; fast online algorithm; line segments; locally optimal solutions; online polygonal approximation; overlapping windows; piecewise backtracking; standard deviation; time series; trajectories; Approximation algorithms; Approximation error; Computer science; Dynamic programming; Electrocardiography; Error analysis; Heuristic algorithms; Iterative algorithms; Signal processing algorithms; Standards development;
Conference_Titel :
Pattern Recognition, 2008. ICPR 2008. 19th International Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
978-1-4244-2174-9
Electronic_ISBN :
1051-4651
DOI :
10.1109/ICPR.2008.4761634