2-Dimension Polynomial Fitting for the Edge Detection

Article Preview

Abstract:

The gray-scale digital image is two-dimension, most of the previous polynomial fitting methods for edge detection belong to one-dimension methods. The new method of two-dimension polynomial fitting for edge detection is presented. The grey level data of the interest area around the edge in the image are fitted by the two-dimension polynomial function. The edge of interest is identified by finding the maximum of the form of gradient of the fitting function. Because the two-dimension fitting is actually more suitable for the two-dimension image, the fitting results of two dimension method are significantly better than that of the one-dimension method. It is shown through the analysis of the synthesis image that the results of surface fitting and edge identification used of the proposed method are quite good.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

969-973

Citation:

Online since:

August 2013

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Zhang Yu-jin. Image Analysis, volume 2 of Image Engineering, 2nd Edition, Tsinghua University Press (2006).

Google Scholar

[2] A. J. TABATABAI & O. R. MITCHELL, Edge Location to Sub-pixel Values in Digital Imagery, IEEE-PAMI, 1984, 6: 188-201.

DOI: 10.1109/tpami.1984.4767502

Google Scholar

[3] V. S. Nalwa & T. O. Binford, On Detecting Edge, IEEE Transaction on Pattern Analysis and Machine Intelligence, 1986, 8: 699-714.

DOI: 10.1109/tpami.1986.4767852

Google Scholar

[4] C. Steger, Unbiased Extraction of Curvilinear Structures from 2D and 3D Images, Dissertation of PhD, Technischen Universitat Munchen, Germany, (1998).

Google Scholar

[5] J. YE, G. FU & U. P. POUDEL, High-accuracy Edge Detection with Blurred Edge Model, Image & Vision Computing, 2005, 23: 453-467.

DOI: 10.1016/j.imavis.2004.07.007

Google Scholar

[6] Y. Shan, G. W. Boon, Sub-pixel Location of Edges with Non-uniform Blurring: a Finite Closed-form Approach, Image and Vision Computing, 2000, 18: 1015-1023.

DOI: 10.1016/s0262-8856(00)00040-8

Google Scholar

[7] G. FU & A. G. MOOSA, an Optical Approach to Structural Displacement Measurement and Its Application, J Engineering Mechanics, 2002, 128(5), 511-520.

DOI: 10.1061/(asce)0733-9399(2002)128:5(511)

Google Scholar

[8] X. R. YUAN, Beam Deflection Measurement Using One-dimension Digital Image Correlation, Journal of Guangzhou University (Natural Science Edition), 2010, 9 (1): 54-56.

Google Scholar

[9] X. R. YUAN, Polynomial Moving Fitting Method for Edge Identification, Advanced material research, 2011,308-310:2560-2564.

DOI: 10.4028/www.scientific.net/amr.308-310.2560

Google Scholar

[10] X. R. YUAN, Digital Image Edge Detection Method in the Application of the Beam Displacement Measurement and Damage Detection, Advanced Materials Research, 2012, 487:221-225.

DOI: 10.4028/www.scientific.net/amr.487.221

Google Scholar

[11] X. R. YUAN, The Natural Bending Vibration of the Continuous Beam and the Impact Factor of Bridge, Applied Mechanics and Materials, 2011, 90-93: 1245-1249.

DOI: 10.4028/www.scientific.net/amm.90-93.1245

Google Scholar

[12] W. HUANG, X. R. YUAN C. LIU et al, The Research and Application of Video Image Technology in Vibration Test, 2011, 30 (22): 62-64.

Google Scholar

[13] M. LIU, Study On Application Of Digital Image Processing Technology In The Detection Of Bridge Structure, Guangzhou University Thesis, (2009).

Google Scholar

[14] S. L. XU, Numerical Methods and Computer Implementation, Tsinghua University Press, (2010).

Google Scholar

[15] H. Y. QIAN, Numerical Representation and Approximation of Curves and Surfaces, Shanghai Science and Technology Publishing House, Shanghai, (1984).

Google Scholar

[16] Z. H. HU, X. R. YUAN & M. LIU, Study on Wavelet Transform in Displacement Field De-noising of Simply Supported Beam, Journal of Guangzhou University (Natural Science Edition), 2010, 9 (6) : 50-53.

Google Scholar