Academic Journal
Convex non-convex segmentation of scalar fields over arbitrary triangulated surfaces
| العنوان: | Convex non-convex segmentation of scalar fields over arbitrary triangulated surfaces |
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| المؤلفون: | Huska, Martin, Lanza, Alessandro, Morigi, Serena, Sgallari, Fiorella |
| المساهمون: | Huska, Martin, Lanza, Alessandro, Morigi, Serena, Sgallari, Fiorella |
| سنة النشر: | 2019 |
| المجموعة: | IRIS Università degli Studi di Bologna (CRIS - Current Research Information System) |
| مصطلحات موضوعية: | mesh segmentation, non-convex regularization, convex non-convex optimization, Mumford–Shah variational model |
| الوصف: | An extension of the Mumford–Shah model for image segmentation is introduced to segment real-valued functions having values on a complete, connected, 2-manifold embedded in R3. The proposed approach consists of three stages: first, a multi-phase piecewise smooth partition function is computed, then its values are clustered and, finally, the curve tracking is computed on the segmented boundaries. The first stage, which constitutes the key novelty behind our proposal, relies on a Convex Non-Convex variational model where an ad-hoc non-convex regularization term coupled with a space-variant regularization parameter allows to effectively deal with both the boundaries and the inner parts of the segments. The cost functional is minimized by means of an efficient numerical scheme based on the Alternating Directions Methods of Multipliers. Experimental results are presented which demonstrate the effectiveness of the proposed three-stage segmentation approach. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | STAMPA |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000454969100035; volume:349; firstpage:438; lastpage:451; numberofpages:14; journal:JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS; http://hdl.handle.net/11585/642215; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85050563500; https://www.sciencedirect.com/science/article/pii/S037704271830400X |
| DOI: | 10.1016/j.cam.2018.06.048 |
| الاتاحة: | http://hdl.handle.net/11585/642215 https://doi.org/10.1016/j.cam.2018.06.048 https://www.sciencedirect.com/science/article/pii/S037704271830400X |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.5E22305A |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.cam.2018.06.048 |
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