Search results for " Geometric analysis"

showing 6 items of 6 documents

The tree of life in the southern porch of the cathedral of Palermo: survey and geometric analysis

2016

This study focuses one of the most puzzling works of art made in Palermo at the end of the medieval age: the tree of life, a rich geometrical decoration with animal and human figures in the southern porch of the Cathedral of Palermo. Topographic and SfM photogrammetric methods produced a detailed orthophoto of the porch. Images collected during restoration have been rectified and superimposed to the orthophoto. The geometrical analysis of the decorative patterns reveals a complex design and meaningful links between the decoration and the general architectural layout of the porch.

Settore ICAR/17 - DisegnoMedieval patterns Tree of life Geometric analysis.
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U.I.R.D.A. – Unbuilt Italian Rationalism Digital Archive

2018

For twenty years, the architecture of Italian rationalism through the digital modelling has been investigated. Very often, the production of a model and the consequent representation of tridimensional views, in many case studies, as outcome of the research on architecture have been considered. Actually, the digital model, intended as a critical tool, has to be conceived as a ‘starting point' for graphic analysis of architecture and not as the outcome. Indeed, it is associated to other graphics, sometimes not ‘deducted' from the model, useful for the understanding/translation of architecture. The construction of the model is not the construction of a simple image, operation, which is often c…

Engineeringbusiness.industryDiagoneo/i: Harmonic ratio. Rectangle which ratio between the two sides corresponds to the ratio between the side of a square and its diagonal. Diapente: Harmonic ratio. Rectangle with sides in ratio 2:3. Diatessaron: Harmonic ratio. Rectangle with sides in ratio 3:4. Digital Archive: Cataloging of drawings obtained through the implementation of digital modeling software within a database that collects graphic elaborations acquired from archive drawings. Golden Ratio: Indicates the ratio between the two dimensions of which the major is the mean proportional between the minor and the sum of the two. Graphic Reading: Reading and understanding operation of an architecture through its decomposition into volumetric and geometric parts graphically expressed through an additional language. Harmonic Ratios: Geometric ratios between pure shapes traceable also in music that enable us to understand the spatial logic of drawn architecture. Hermeneutic Analysis: Interpretive approach adopted in the graphic analysis of an architecture drawing leading to the seeking of further key interpretations of the work itself. Redrawing: Graphic restitution of one or more archive drawings obtained by an interpretative practice of the project and expressed through the codes of representation that provide new information on architecture. Volumetric Analysis: Graphic analysis related to spatial logics that exist between the tridimensional elements of architecture read through schemes orthogonal projections and geometric analysis.Settore ICAR/17 - DisegnobusinessClassicsRationalism (international relations)
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Dal rilievo alla ricostruzione del progetto: la torre Pisana nel Palazzo Reale di Palermo

2017

The paper focuses the survey and representation of the Pisana Tower in the Royal Palace of Palermo. The tower, which has recently been inserted in the UNESCO World Heritage List, was built in the XII century under the patronage of Norman kings. Along the centuries, the tower has undergone several transformations, to fit ever-changing uses. The coexistence of such heterogeneous elements, combined with the fragmentation of the passages connecting the levels of the tower, conceal the original unity and the typology of this historical building. Researches focusing the study of monuments deeply transformed along their history, even when based on the cooperation of multidisciplinary scholarships,…

Royal Palace of Palermo Torre Pisana Reconstruction Geometric analysisSettore ICAR/17 - Disegno
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Semianalyticity of isoperimetric profiles

2009

It is shown that, in dimensions $<8$, isoperimetric profiles of compact real analytic Riemannian manifolds are semi-analytic.

Mathematics - Differential Geometry0209 industrial biotechnologyRiemannian Geometry Real Analytic Geometry Geometric measure Theory Metric Geometry Geometric Analysis.Calibration (statistics)02 engineering and technologyAstrophysics::Cosmology and Extragalactic Astrophysics01 natural sciencessymbols.namesake020901 industrial engineering & automationFOS: MathematicsMathematics::Metric GeometryMorse theory0101 mathematicsMathematics::Symplectic GeometryIsoperimetric inequalityMorse theoryMathematicsRiemann surface010102 general mathematicsMathematical analysis53C20;49Q20;14P15;32B20Differential Geometry (math.DG)Computational Theory and Mathematics[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]Riemann surfaceCalibrationsymbolsGeometry and TopologyMathematics::Differential GeometryIsoperimetric inequalityAnalysis
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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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The isoperimetric profile of a smooth Riemannian manifold for small volumes.

2009

Geometric measure theory Riemannian geometry Geometric analysis Metric geometry.
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