Defining a stretching and alignment aware quality measure for linear and curved 2D meshes

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hdl:2117/188031
Document typeConference report
Defense date2018
PublisherSpringer
Rights accessOpen Access
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Abstract
We define a regularized shape distortion (quality) measure for curved high-order 2D elements on a Riemannian plane. To this end, we measure the deviation of a given 2D element, straight-sided or curved, from the stretching and alignment determined by a target metric. The defined distortion (quality) is suitable to check the validity and the quality of straight-sided and curved elements on Riemannian planes determined by constant and point-wise varying metrics. The examples illustrate that the distortion can be minimized to curve (deform) the elements of a given high-order (linear) mesh and try to match with curved (linear) elements the point-wise alignment and stretching of an analytic target metric tensor.
CitationAparicio, G.; Gargallo, A.; Roca, X. Defining a stretching and alignment aware quality measure for linear and curved 2D meshes. A: International Meshing Roundtable. "27th International Meshing Roundtable". Berlín: Springer, 2018, p. 37-55.
ISBN978-3-030-13992-6
Publisher versionhttps://link.springer.com/chapter/10.1007/978-3-030-13992-6_3
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- Departament d'Enginyeria Civil i Ambiental - Ponències/Comunicacions de congressos [1.225]
- Computer Applications in Science & Engineering - Ponències/Comunicacions de congressos [70]
- Doctorat en Matemàtica Aplicada - Ponències/Comunicacions de congressos [30]
- DECA - Grup de Recerca del Departament d'Enginyeria Civil i Ambiental - Ponències/Comunicacions de congressos [34]
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