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Efficiently Guided Active Contours for Image Segmentation

Author(s)
Lutful Mabood Department of Mathematics, University of Peshawar, Pakistan.
Tahir Ullah Department of Mathematics, University of Peshawar, Pakistan.
Haider Ali Department of Mathematics, University of Peshawar, Pakistan.
Noor Badshah Department of Basic Sciences, University of Engineering and Technology, Peshawar, Pakistan
Abstract
Segmenting natural and outdoor images are challenging for most of the latest variational segmentation models. For this purpose we employ derived image data (DID) and propose a robust variational model. The DID rely on three images by utilizing image local and global statistics as well as filter image which is obtained through our design high pass filtering techniques. Then these derived image data are incorporated into our proposed energy functional which can robustly segment images having inhomogeneity, mix backgrounds and multi-regions. Furthermore, the results of DID are compared with other well known methods with finding Jaccard similarity index to proof the efficient and qualitative performance of proposed model over the traditional methods. Finally, the proposed DID based model is tested on real world 3D images to ensure that it also preserve its performance in vector valued images as well.
Publication Details
Page(s) 477-493
DOI 10.52280/pujm.2021.540704
Published Journal: Punjab University Journal of Mathematics, Volume: 54, Issue: 7, Year: 2022

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Keywords
Level Sets and Partial Differential Differential, Calculus of Variation, Functional Minimization.
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