NDLI: Segmentation of images through curve fitting analysis by modified Vandermonde matrix and modified Gram-Schmidt method

Content Provider	IET Digital Library
Author	Acharya, Kuldip Ghoshal, Dibyendu Bhattacharyya, Bidyut K.
Abstract	An algorithm is proposed for segmentation of digital images using the curve fitting method based on modified Vandermonde matrix and modified Gram-Schmidt method. Modified Vandermonde matrix is applied to linearly smoothed histogram data to find the coefficients of a polynomial of a given degree for fitting the data in a least square sense. Modified Gram-Schmidt method is applied to get polynomial coefficients to minimise the least square distance during the calculation. The threshold value is computed by locating the minimum number of pixels from the grey-level value. Threshold value is used with that of the input image to generate an output segmented image. The output segmented image is further improved by applying morphological operation which has made the segmented edge lines and regions free from any extraneous pixels. The final segmented image has been found to have sharp edges and filled in a region within the image contours. The experimental results show that the proposed method has produced superior performance compared to other state-of-art algorithms. Further, it is observed from the results that the proposed algorithm takes less program execution time than others in vogue algorithms.
Starting Page	4588
Ending Page	4598
Page Count	11
ISSN	17519659
Volume Number	14
e-ISSN	17519667
Issue Number	Issue 17, Dec (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-ipr/14/17
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-ipr.2020.0520
Journal	IET Image Processing
Publisher Date	2021-01-18
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Computer Vision And Image Processing Technique Curve Fitting Curve Fitting Analysis Digital Image Segmentation Extraneous Pixel Grey-level Value Image Contours Image Segmentation Input Image Interpolation And Function Approximation Least Square Distance Minimization Least Squares Approximation Linear Algebra Matrix Algebra Modified Gram-Schmidt Method Modified Vandermonde Matrix Morphological Operation Numerical Analysis Optical, Image And Video Signal Processing Output Segmented Image Polynomial Polynomial Coefficient Segmented Edge Line Smoothed Histogram Data Threshold Value
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering Computer Vision and Pattern Recognition Software

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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