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METASET: Exploring Shape and Property Spaces for Data-Driven Metamaterials Design [article]

Yu-Chin Chan, Faez Ahmed, Liwei Wang, Wei Chen
2020 arXiv   pre-print
To select such subsets, we propose METASET, a methodology that 1) uses similarity metrics and positive semi-definite kernels to jointly measure the closeness of unit cells in both shape and property spaces  ...  However, the dependence on data induces a unique challenge: An imbalanced dataset containing more of certain shapes or physical properties can be detrimental to the efficacy of data-driven approaches.  ...  By increasing w, we shift from ranking a subset based on diversity in the property space alone, to a mixture of both spaces, and to the shape space only.  ... 
arXiv:2006.02142v3 fatcat:tuy2gy73czbarjlc3tscg2qwxq

Reasoning About Shape in Complex Datasets: Geometry, Structure and Semantics [article]

Silvia Biasotti, Hamid Laga, Michela Mortara, Michela Spagnuolo
2014 Eurographics State of the Art Reports  
We will first introduce some of the main challenges in shape analysis, underlining the role of Mathematics in the identification of the geometry, structure and semantics of a shape.  ...  Finally, we discuss the potential of structural shape analysis to achieve a smart and semantic representation of a digital object.  ...  Acknowledgements • Shape Modeling Group @ IMATI and Daniela Giorgi  ... 
doi:10.2312/egt.20141018 fatcat:gaf3abx5ejfvlgsbswxb2ii5hi

Carbon Fibre Reinforced Shape Memory Polymer Composites for Deployable Space Habitats

H. M. C. M. Herath, J. A. Epaarachchi, M. M. Islam, J. Leng
2019 Engineer Journal of the Institution of Engineers Sri Lanka  
The results revealed that the superlative mechanical properties of carbon fibres as a reinforcement has enhanced the strength of the SMP composite (SMPC) to be applicable for space engineering innovations  ...  This paper presents the mechanical properties, thermomechanical behaviour and the shape memory characteristics of 0/90 woven carbon fibre reinforced shape memory composite.  ...  Acknowledgement The authors are indebted to the Harbin Institute of Technology, China, for providing the materials used in this work.  ... 
doi:10.4038/engineer.v52i1.7323 fatcat:vsifh4ow7zganh3j6crokcm5dm

Extended simples

Kris McDaniel
2006 Philosophical Studies  
In the final section of the paper, I show that if the shape properties of material objects are extrinsic, the most popular argument against extended simples fails.  ...  The argument given here parallels an argument given elsewhere for the claim that the shape properties of material objects are extrinsic, not intrinsic as is commonly supposed.  ...  structure of the region of space is not intrinsic, or the mereological structure is not accidental.  ... 
doi:10.1007/s11098-006-9010-y fatcat:4zj3dgac7vgqjanbstlqkekoja

On mathematics and discrete space

Sydney Ernest Grimm
2021 Zenodo  
If our concept about the relation between phenomenological reality and the creating underlying reality is correct, the unification of the properties of phenomenological reality is part of an enveloping  ...  It has to be a creation of an underlying reality. An all-inclusive existence that has a structure because observable reality shows structure at every scale size.  ...  generated by the properties of the units of the structure of discrete space.  ... 
doi:10.5281/zenodo.5457368 fatcat:puc25lb7vvebribf3wuo7wehs4

Geometries on Spaces of Treelike Shapes [chapter]

Aasa Feragen, Francois Lauze, Pechin Lo, Marleen de Bruijne, Mads Nielsen
2011 Lecture Notes in Computer Science  
In order to develop statistical methods for shapes with a tree-structure, we construct a shape space framework for treelike shapes and study metrics on the shape space.  ...  properties of the QED metric.  ...  We thank Marco Loog, Søren Hauberg and Melanie Ganz for helpful discussions during the preparation of the article.  ... 
doi:10.1007/978-3-642-19309-5_13 fatcat:edvnhjxcsnaivhskijpsn5tgu4

The objective reality of space and time

Sydney Ernest Grimm
2019 Zenodo  
The paper describes the mathematical properties of the structure of space and time.  ...  [V] If space is a structure that is composed of spatial units and the phenomena represent variable properties (III) the invariant volume of every spatial unit cannot have an invariant shape.  ...  Because the basic properties of the building blocks of a structure determine the properties of larger configurations.  ... 
doi:10.5281/zenodo.3593871 fatcat:y74gekndmfhrrgu4cdffzwm5y4

Vascular shape segmentation and structure extraction using a shape-based region-growing model [chapter]

Yoshitaka Masutani, Thomas Schiemann, Karl-Heinz Höhne
1998 Lecture Notes in Computer Science  
By an extension of math-morphological operations within bounded space of vascular shape, smooth and natural region-growing and sensitivity-controllable bifurcation detection were realized.  ...  The method uses a combination of mathematical morphology, region-growing schemes, and shape features in addition to greyscale information.  ...  Fig. 2 . 2 Bounded space dilation (N.~6) simplified example. Fig. 3 . 3 Properties of bounded space closing.  ... 
doi:10.1007/bfb0056314 fatcat:c3fplb4bbjezppm2h7agaieu7e

IH-GAN: A Conditional Generative Model for Implicit Surface-Based Inverse Design of Cellular Structures [article]

Jun Wang, Wei Wayne Chen, Daicong Da, Mark Fuge, Rahul Rai
2022 arXiv   pre-print
Past work addressing this problem generally either only optimizes the volume fraction of single-type unit cells but ignores the effects of unit cell geometry on properties, or considers the geometry-property  ...  However, the optimization of such cellular structures is challenging due to the multiscale design problem.  ...  This results in a one-to-many mapping from the property space to the shape parameter space. The magnitude of shape variation, however, differs when conditioned on different properties.  ... 
arXiv:2103.02588v5 fatcat:pejy5yjmxvamvbujqoh4a2klfi

Effect of Degradation of Material Properties on the Dynamic Response of Large Space Structures

S. Kalyanasundaram, J.D. Lutz, W.E. Haisler, D. H. Allen
1986 Journal of Spacecraft and Rockets  
Allent Texas A&M University, College Station, Texas The effect of degradation of material properties on structural frequencies and mode shapes of large space structures (LSS) is investigated herein.  ...  SPACECRAFT Effect of Degradation of Material Properties on the Dynamic Response of Large Space Structures S. Kalyanasundaram,* J.D. Lutz,* W.E. Haisler,t and D. H.  ... 
doi:10.2514/3.55558 fatcat:hzqdyosr2nfvrhv6h5dekrkrbu

Shape Memory Composites for Self-deployable Structures in Aerospace Applications

Loredana Santo, Fabrizio Quadrini, Antonio Accettura, Walter Villadei
2014 Procedia Engineering  
Shape memory composites (SMCs) are attractive materials as they combine typical mechanical and functional properties of composites with shape memory properties.  ...  Future applications for this class of materials are self-deployable structures for space systems (such as actuators of solar sails or smart aerodynamic structures).  ...  MMT filled SMP epoxy foams have been studied and good results were obtained in terms of shape memory properties and structural properties [1, 3] .  ... 
doi:10.1016/j.proeng.2014.11.124 fatcat:s6agxpfk7jdntaf7hde544fd6q

Quantifying 3D Shape Similarity Using Maps: Recent Trends, Applications and Perspectives [article]

S. Biasotti, A. Cerri, A. Bronstein, M. Bronstein
2014 Eurographics State of the Art Reports  
In this panorama, we focus on methods which quantify shape similarity (between two objects and sets of models) and compare these shapes in terms of their properties (i.e., global and local, geometric,  ...  at the different stages of the shape comparison process.  ...  Acknowledgements We would like acknowledge the support of the Shape Modelling Group at CNR-IMATI, and in particular Michela Spagnuolo and Bianca Falcidieno; we also thank Daniela Giorgi, Patrizio Frosini  ... 
doi:10.2312/egst.20141039 fatcat:zl6w7pfo2zbwxp7uqizadcuofu

Deep Generative Modeling for Mechanistic-based Learning and Design of Metamaterial Systems [article]

Liwei Wang, Yu-Chin Chan, Faez Ahmed, Zhao Liu, Ping Zhu, Wei Chen
2020 arXiv   pre-print
First, the latent space of VAE provides a distance metric to measure shape similarity, enabling interpolation between microstructures and encoding meaningful patterns of variation in geometries and properties  ...  For microstructure design, the tuning of mechanical properties and complex manipulations of microstructures are easily achieved by simple vector operations in the latent space.  ...  Semantic structures of the latent space are identified to enable higher-level control of the mechanical properties.  ... 
arXiv:2006.15274v1 fatcat:a4jszef4djbwnntkyri2mh7a5q

Extending the Algebras of Design

Iestyn Jowers, Christopher F. Earl
2015 Nexus Network journal  
These give rise to significant questions about the relationships between shapes and the property of embedding, which is fundamental to the construction of algebras of design.  ...  Algebras of design have previously been investigated for shapes composed of rectilinear geometric elements, such as lines and planes, and the properties of these algebras have been found to be beneficial  ...  Because of the topology of this space, the properties of the resulting algebra of design are not the same as for shapes arranged in a Euclidean space.  ... 
doi:10.1007/s00004-015-0259-3 fatcat:sxse55rjm5crtgvhs4oyr2ebum

Carbon / Epoxy Resin Based Elastic Memory Composites

J. Dyana Merline, C.P. Reghunadhan Nair
2012 Eurasian Chemico-Technological Journal  
The diepoxy resin series of composites exhibited the maximum shape recovery of 97%. The shape recovery properties of the tris epoxy and epoxy novolac-based composites were inferior.  ...  The properties of the composites show that these systems have the required elastic memory characteristics for possible use in thermo-responsive self-deployable applications.  ...  EMC materials are a newly developed class of materials hosting an ideal combination of properties required for deployable space structures.  ... 
doi:10.18321/ectj118 fatcat:omb7j7tfzve6rf34wkubeajz4q
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