Level set-based heterogeneous object modeling and optimization

2019 ◽  
Vol 110 ◽  
pp. 50-68 ◽  
Author(s):  
Jikai Liu ◽  
Qian Chen ◽  
Yufan Zheng ◽  
Rafiq Ahmad ◽  
Jinyuan Tang ◽  
...  
Keyword(s):  
Level Set ◽  
Object Modeling ◽  
Modeling And Optimization ◽  
Heterogeneous Object ◽  
Heterogeneous Object Modeling

Heterogeneous object modeling: A review

2007 ◽  
Vol 39 (4) ◽  
pp. 284-301 ◽  
Author(s):  
X.Y. Kou ◽  
S.T. Tan
Keyword(s):  
Object Modeling ◽  
Heterogeneous Object ◽  
Heterogeneous Object Modeling

Constructive Heterogeneous Object Modeling Using Signed Approximate Real Distance Functions

2005 ◽  
Vol 6 (3) ◽  
pp. 221-229 ◽  
Author(s):  
Pierre-Alain Fayolle ◽  
Alexander Pasko ◽  
Benjamin Schmitt ◽  
Nikolay Mirenkov
Keyword(s):  
Distance Function ◽  
Model Material ◽  
Shape Modeling ◽  
Distance Functions ◽  
Material Distribution ◽  
Object Modeling ◽  
Smooth Approximation ◽  
Model Framework ◽  
Heterogeneous Object ◽  
Heterogeneous Object Modeling

We introduce a smooth approximation of the min∕max operations, called signed approximate real distance function (SARDF), for maintaining an approximate signed distance function in constructive shape modeling. We apply constructive distance-based shape modeling to design objects with heterogeneous material distribution in the constructive hypervolume model framework. The introduced distance approximation helps intuitively model material distributions parametrized by distances to so-called material features. The smoothness of the material functions, provided here by the smoothness of the defining function for the shape, helps to avoid undesirable singularities in the material distribution, like stress or concentrations. We illustrate application of the SARDF operations by two- and three-dimensional heterogeneous object modeling case studies.

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