Search results for "Geometric analysis"

showing 3 items of 23 documents

3D MODELING OF TWO LOUTERIA FRAGMENTS BY IMAGE-BASED APPROACH

2017

Abstract. The paper presents a digital approach to the reconstruction and analysis of two small-sized fragments of louteria, a kind of large terracotta vase, found during an archaeological survey in the south of Sicily (Italy), in the area of Cignana near the Greek colony of Akragas (nowadays Agrigento). The fragments of louteria have been studied by an image-based approach in order to achieve high accurate and very detailed 3D models. The 3D models have been used to carry out interpretive and geometric analysis from an archaeological point of view. Using different digital tools, it was possible to highlight some fine details of the louteria decorations and to better understand the characte…

lcsh:Applied optics. PhotonicsGeometric analysis3d modelcomputer.software_genre01 natural scienceslcsh:Technology0601 history and archaeology060102 archaeologyPoint (typography)business.industrylcsh:T010401 analytical chemistrylcsh:TA1501-1820Settore L-ANT/09 - Topografia Antica06 humanities and the arts3D modeling0104 chemical sciencesGeographylcsh:TA1-2040Photogrammetry 3D Modelling Archaeology Pottery Fragment.visual_artvisual_art.visual_art_mediumData miningTerracottabusinesslcsh:Engineering (General). Civil engineering (General)computerCartographyImage basedSettore ICAR/06 - Topografia E Cartografia
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Assouad Type Dimensions in Geometric Analysis

2021

We consider applications of the dual pair of the (upper) Assouad dimension and the lower (Assouad) dimension in analysis. We relate these notions to other dimensional conditions such as a Hausdorff content density condition and an integrability condition for the distance function. The latter condition leads to a characterization of the Muckenhoupt Ap properties of distance functions in terms of the (upper) Assouad dimension. It is also possible to give natural formulations for the validity of Hardy–Sobolev inequalities using these dual Assouad dimensions, and this helps to understand the previously observed dual nature of certain cases of these inequalities. peerReviewed

osittaisdifferentiaaliyhtälötPure mathematicsLower dimensionGeometric analysisAssouad dimensionAikawa conditionHardy–Sobolev inequalityDimension (graph theory)Hausdorff spaceMuckenhoupt weightCharacterization (mathematics)Type (model theory)Dual (category theory)Content (measure theory)Mathematics::Metric GeometrymittateoriaepäyhtälötMathematicsDual pair
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Dal disegno alla misura. Ricostruzione del fronte di palazzo Aiutamicristo a Palermo

2020

I laser scanner e la fotogrammetria SfM hanno scardinato il legame tradizionale fra misura e disegno, fissato negli eidotipi che spesso prefiguravano i disegni di restituzione. Il contributo che segue intende dimostrare, attraverso una esemplificazione su un caso studio, che le tecnologie digitali e il lavoro di indagine su repliche del reale, esaltano, attraverso nuovi modi di interazione fra disegno e misura, la possibilità di indagare l’architettura costruita per decodificarne lo schema, il progetto. Il caso studio prescelto è il fronte principale di palazzo Aiutamicristo, costruito a Palermo a partire dal 1490 su progetto di Matteo Carnilivari. Il prospetto di palazzo Aiutamicristo avrà…

survey geometric analysis virtual reconstruction palazzo Aiutamicristo Matteo Carnilivaririlievo analisi geometrica ricostruzione virtuale palazzo Aiutamicristo Matteo Carnilivari.Settore ICAR/17 - Disegno
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