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Table of Contents
Intro
Preface
Contents
Round Table of MACH2021
1 Introduction to the Issues Faced in the Round Table
2 The Importance of Science and Cultural Aspects and the Impact on Political Strategies on Cultural Heritage
3 Critical Issues Emerged in the Management of CH During Covid-19 Pandemic, Arising Opportunities and Problems that Need to Be Faced with New Investments
References
Numerical Simulation of the Athens 1999 Earthquake Including Simplified Models of the Acropolis and the Parthenon: Initial Results and Outlook
1 Introduction
2 Mathematical Model and Its Numerical Discretization
3 Computational Setting for the September 7, 1999 Athens Earthquake
3.1 Numerical Model of the Seismic Source, Regional Crustal Properties and Geological Setting
3.2 Computational Models Setup
4 Numerical Results and Comparison with Observed Records
4.1 Simulation of the 1999 Athens Earthquake
4.2 Seismic Response of the Parthenon
5 Conclusions and Future Developments
References
Randomness in a Nonlinear Model of Sulphation Phenomena
1 Introduction
2 The Deterministic Model
3 Stochastic Boundary Condition for the S02 Concentration
4 A Nonlinear Model with Stochastic Dynamical Boundary Conditions
5 Conclusions
References
Automatic Description of Rubble Masonry Geometries by Machine Learning Based Approach
1 Introduction
2 The Data Set Used
2.1 Preparation of Geometrical Data
3 Basic Concepts About CNN
4 Variational Autoencoder (VAE)
5 Implementation
6 Experimentations
7 Closing Remarks
References
A Model for Craquelure: Brittle Layers on Elastic Substrates
1 A Model for a Brittle Layer on an Elastic Substrate
2 Analytical Treatment of the Model
3 Analysis of the Results in Terms of Craquelure
4 Conclusions
References
Themes and Reflections upon Structural Analysis in the Fieldof Archaeology
1 Knowing to Model
2 The Restoration of Architectural Knowledge
References
Mathematical Methods for the Shape Analysis and Indexingof Tangible CH Artefacts
1 Introduction
2 Quantitative Analysis and Shape Characterisation of Cultural Assets
2.1 Main Dimensions, Area, Volume
2.2 Thickness, Roundness, Straightness
2.3 Curvature-Based Shape Characterisation
2.4 Colourimetric Properties
2.5 Feature Curve Recognition
2.6 Pattern Analysis
3 Similarity Reasoning and Query-Based Search Engine
3.1 Similarity Measures and Compatibility of Feature Curves
3.2 Conceptual Model of a Search Engine
4 3D Semantic Annotation of Cultural Artefacts
4.1 Cultural Heritage Artefact Partonomy
4.2 The CH Platform
4.3 Managing Annotation Attributes, Relations and Constraints
5 Concluding Remarks
References
A Semi-analytical Approach to Approximate Chattering Timeof Rocking Structures
1 Introduction
2 Analytical Dynamics
Preface
Contents
Round Table of MACH2021
1 Introduction to the Issues Faced in the Round Table
2 The Importance of Science and Cultural Aspects and the Impact on Political Strategies on Cultural Heritage
3 Critical Issues Emerged in the Management of CH During Covid-19 Pandemic, Arising Opportunities and Problems that Need to Be Faced with New Investments
References
Numerical Simulation of the Athens 1999 Earthquake Including Simplified Models of the Acropolis and the Parthenon: Initial Results and Outlook
1 Introduction
2 Mathematical Model and Its Numerical Discretization
3 Computational Setting for the September 7, 1999 Athens Earthquake
3.1 Numerical Model of the Seismic Source, Regional Crustal Properties and Geological Setting
3.2 Computational Models Setup
4 Numerical Results and Comparison with Observed Records
4.1 Simulation of the 1999 Athens Earthquake
4.2 Seismic Response of the Parthenon
5 Conclusions and Future Developments
References
Randomness in a Nonlinear Model of Sulphation Phenomena
1 Introduction
2 The Deterministic Model
3 Stochastic Boundary Condition for the S02 Concentration
4 A Nonlinear Model with Stochastic Dynamical Boundary Conditions
5 Conclusions
References
Automatic Description of Rubble Masonry Geometries by Machine Learning Based Approach
1 Introduction
2 The Data Set Used
2.1 Preparation of Geometrical Data
3 Basic Concepts About CNN
4 Variational Autoencoder (VAE)
5 Implementation
6 Experimentations
7 Closing Remarks
References
A Model for Craquelure: Brittle Layers on Elastic Substrates
1 A Model for a Brittle Layer on an Elastic Substrate
2 Analytical Treatment of the Model
3 Analysis of the Results in Terms of Craquelure
4 Conclusions
References
Themes and Reflections upon Structural Analysis in the Fieldof Archaeology
1 Knowing to Model
2 The Restoration of Architectural Knowledge
References
Mathematical Methods for the Shape Analysis and Indexingof Tangible CH Artefacts
1 Introduction
2 Quantitative Analysis and Shape Characterisation of Cultural Assets
2.1 Main Dimensions, Area, Volume
2.2 Thickness, Roundness, Straightness
2.3 Curvature-Based Shape Characterisation
2.4 Colourimetric Properties
2.5 Feature Curve Recognition
2.6 Pattern Analysis
3 Similarity Reasoning and Query-Based Search Engine
3.1 Similarity Measures and Compatibility of Feature Curves
3.2 Conceptual Model of a Search Engine
4 3D Semantic Annotation of Cultural Artefacts
4.1 Cultural Heritage Artefact Partonomy
4.2 The CH Platform
4.3 Managing Annotation Attributes, Relations and Constraints
5 Concluding Remarks
References
A Semi-analytical Approach to Approximate Chattering Timeof Rocking Structures
1 Introduction
2 Analytical Dynamics