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A Dynamic Model of Cracks Development Based on a 3D Discrete Shrinkage Volume Propagation
Author(s) -
Valette Gilles,
Prévost Stéphanie,
Lucas Laurent,
Léonard Joël
Publication year - 2008
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/j.1467-8659.2007.01042.x
Subject(s) - shrinkage , computer science , surface (topology) , hierarchy , waterfall , transformation (genetics) , algorithm , development (topology) , volume (thermodynamics) , geometry , mathematics , mathematical analysis , biochemistry , chemistry , physics , archaeology , quantum mechanics , machine learning , economics , gene , market economy , history
We attempt to model and visualize the main characteristics of cracks produced on the surface of a desiccating crusted soil: their patterns, their different widths and depths and their dynamics of creation and evolution. In this purpose we propose a method to dynamically produce three‐dimensional (3D) quasi‐static fractures, which takes into account the characteristics of the soil. The main originality of this method is the use of a 3D discrete propagation of ‘shrinkage volumes’ with respect to 2D precalculated paths. In order to get realistic cracks, we newly propose to take into account a possibly inhomogeneous thickness of the shrinking layer by using a watershed transformation to compute these paths. Moreover, we use the waterfall algorithm in order to introduce in our simulation a hierarchy notion in the cracks appearance, which is therefore linked with the initial structure of the surface. In this paper, this method is presented in detail and a validation of the cracks patterns by a comparison with real ones is given.