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Reseach Article

Behavior Formula Extraction for Object Trajectory using Curve Fitting Method

by Israa Hadi, Mustafa Sabah
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 104 - Number 2
Year of Publication: 2014
Authors: Israa Hadi, Mustafa Sabah
10.5120/18177-9068

Israa Hadi, Mustafa Sabah . Behavior Formula Extraction for Object Trajectory using Curve Fitting Method. International Journal of Computer Applications. 104, 2 ( October 2014), 28-37. DOI=10.5120/18177-9068

@article{ 10.5120/18177-9068,
author = { Israa Hadi, Mustafa Sabah },
title = { Behavior Formula Extraction for Object Trajectory using Curve Fitting Method },
journal = { International Journal of Computer Applications },
issue_date = { October 2014 },
volume = { 104 },
number = { 2 },
month = { October },
year = { 2014 },
issn = { 0975-8887 },
pages = { 28-37 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume104/number2/18177-9068/ },
doi = { 10.5120/18177-9068 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:35:08.869570+05:30
%A Israa Hadi
%A Mustafa Sabah
%T Behavior Formula Extraction for Object Trajectory using Curve Fitting Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 104
%N 2
%P 28-37
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

One of the main goals of computer vision is to enable computers to replicate the basic functions of human vision such as motion perception and scene understanding. To achieve the goal of intelligent motion perception, much effort has been spent on object tracking, which is one of the most important challenges in computer vision topics. The formulations of mathematical models of many systems are basic steps in the process of evaluating their behavior; unfortunately, such formulations may become too complex or may not even be possible. Consequently, empirical functional relationships are often developed to describe system behavior using experimental data. Curve fitting, also known as regression analysis, is used to find the "best fit" line or curve for a series of data points. Most of the time, the curve fit will produce an equation that can be used to find points anywhere along the curve. This study proposes new methods to deal with the trajectory by converting the trajectory points into approximation function using curve fitting function to smooth the data; improving the appearance of the trajectory, extracting important features such as slope and intersection point.

References
  1. Changhyun Choi, Seung-Min Baek and Sukhan Lee, "Real-time 3D Object Pose Estimation and Tracking for Natural Landmark Based Visual Servo", IEEE/RSJ international conference, Pages 3983-3989, 2008.
  2. Chafik Samir, P. A. Absil, AnujSrivastava, Eric Klassen, "A Gradient-Descent Method for Curve Fitting on Riemannian Manifolds",paper presents research results of the Belgian Network DYSCO (Dynamical Systems, Control, and Optimization), funded by the Interuniversity Attraction Poles Programmer, initiated by the Belgian State, Science Policy Office. The scientific responsibility rests with its authors. This research was supported in part by AFOSR FA9550-06-1-0324 and ONR N00014-09-10664. March
  3. Marcus Baum , Uwe D. Hanebeck," Shape Tracking of Extended Objects and Group Targets with Star-Convex RHMs", 14th IEEE international conference, Pages 1-8, 2011.
  4. Yang Wang, Simon Lucey, Jeffrey F. Cohn, Jason Saragih," Non-rigid Face Tracking with Local Appearance Consistency Constraint", 18th IEEE International conference, Pages 3045-3048, 2008.
  5. Roberto Battiti," Reconstructing Curve from Sparse and noisy data through reactive search optimization techniques", master thesis, 2009.
  6. Dong Wang, Huchuan Lu, Ming-Hsuan Yang," Least Soft threshold Squares Tracking ",IEEE international conference, Pages 2371-2378, 2013.
  7. Steven "numerical method for engineering", Wiley, 2006.
  8. S. J. Rajput, S. D. Oza, "A New Algorithm for Tracking of Multiple Moving Objects" international Journal of Scientific Engineering and Technology, Volume No. 2, Issue No. 7, pp : 691-693 ,2013.
  9. Xi Li, Zhang, shen "surveys of appearance models in visual object tracking" ACM transactions on technology, 2013.
  10. Elias K. ," Trajectory Data Management in Moving Object Databases", PhD Thesis, Department of Informatics, University of Piraeus, 2008.
  11. Wei Qu, Faisal I. Bashir, Dan Graupe, AshfaqKhokhar, and Dan Schonfeld,"A Motion Trajectory Based Video Retrieval System Using Parallel Adaptive Self Organizing Maps", IEEE international conference, Pages 1800-1805, 2005.
  12. Press, W. H. , Flannery, B. P. , Teukolsky, S. A. , and Vetterling, W. T. Numerical Recipes in C. Cambridge University Press, New York (1988).
  13. Chambers, J. M. , Cleveland, W. S. , Kleiner, B. , and Tukey, P. A. Graphical Methods for Data Analysis. Duxbury Press, Boston (1983).
  14. Pedro Carvalho,Telmo Oliveira ,Lucian Ciobanu," Analysis of object description methods in a video object tracking environment", Springer-Verlag Berlin Heidelberg, Volume 24, Issue 6, pp 1149-1165, 2013.
  15. Uwe Jaenen, Udo Feuerhake, Tobias Klinger," Improving the Quality of object tracking using self organization camera networks", XXII ISPRS Congress, Melbourne, Australia, Volume I-4, 2012.
  16. Bastian Leibe, Konrad Schindler," Coupled Detection and Trajectory Estimation for Multi-Object Tracking", 11th IEEE international conference, Pages 1-8, 2007.
Index Terms

Computer Science
Information Sciences

Keywords

Object tracking curve fitting motion trajectory spatio-temporal.