Nonlinear optimisation method for image segmentation and noise reduction using geometrical intrinsic properties


Mahmoodi, Sasan and Sharif, Bayan (2006) Nonlinear optimisation method for image segmentation and noise reduction using geometrical intrinsic properties. Image and Vision Computing, 24, 202-209.

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Description/Abstract

This paper considers the optimisation of a nonlinear functional for image segmentation and noise reduction. Equations optimising this functional are derived and employed to detect edges using geometrical intrinsic properties such as metric and Riemann curvature tensor of a smooth differentiable surface approximating the original image. Images are then smoothed using a Helmholtz type partial differential equation. The proposed approach is shown to be very efficient and robust in the presence of noise, and the reported results demonstrate better performance than the conventional derivative based edge detectors.

Item Type: Article
Keywords: Optimisation; Edge detection; Noise reduction; Partial differential equations; Differential geometry
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 265862
Date Deposited: 09 Jun 2008 12:30
Last Modified: 27 Mar 2014 20:10
Publisher: Elsevier
Further Information:Google Scholar
ISI Citation Count:4
URI: http://eprints.soton.ac.uk/id/eprint/265862

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