A PDE Method to Segment Image Linear Objects with Application to Lens Distortion Removal
El-Melegy, Moumen T. (Assiut University (Assiut, Egipte). Electrical Engineering Department)
Al-Ashwal, Nagi H. (Assiut University (Assiut, Egipte). Electrical Engineering Department)

Date:	2007
Abstract:	In this paper, we propose a partial differential equation based method to segment image objects, which have a given parametric shape based on energy functional. The energy functional is composed of a term that detects object boundaries and a term that constrains the contour to find a shape compatible with the parametric shape. While the shape constraints guiding the PDE may be determined from object's shape statistical models, we demonstrate the proposed approach on the extraction of objects with explicit shape parameterization, such as linear image segments. Several experiments are reported on synthetic and real images to evaluate our approach. We also demonstrate the successful application of the proposed method to the problem of removing camera lens distortion, which can be significant in medium to wide-angle lenses.
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Mètodes variacionals ; Equacions diferencials parcials ; Segmentació d'imatge ; Deformació radial ; Ajust de la distorsió de vidre ; Métodos variacionales ; Ecuaciones diferenciales parciales ; Segmentación de imagen ; Deformación radial ; Ajuste de la distorsión de vidrio ; Variational Methods ; Partial Differential Equations ; Level Sets ; Image Segmentation ; Hough Transform ; Fuzzy Memberships ; Radial Distortion ; Lens Distortion Calibration
Published in:	ELCVIA : Electronic Letters on Computer Vision and Image Analysis, V. 6 n. 2 (2007) p. 9-21, ISSN 1577-5097

Adreça original: https://elcvia.cvc.uab.es/article/view/v6-n2-el-melegy-al-ashwal
Adreça alternativa: https://raco.cat/index.php/ELCVIA/article/view/85552
DOI: 10.5565/rev/elcvia.145

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