TY - GEN
T1 - An Immersed Boundary Approach for the Numerical Analysis of Objects Represented by Oriented Point Clouds
AU - Kudela, László
AU - Kollmannsberger, Stefan
AU - Rank, Ernst
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019
Y1 - 2019
N2 - This contribution presents a method for numerical analysis of solids whose boundaries are represented by oriented point clouds. In contrast to standard finite elements that require a boundary-conforming discretization of the domain of interest, our approach works directly on the point cloud representation of the geometry. This is achieved by combining the inside-outside information that is inferred from the members of the point cloud with a high order immersed boundary technique. This allows for avoiding the challenging task of surface fitting and mesh generation, simplifying the image-based analysis pipeline drastically. We demonstrate by a numerical example how the proposed method can be applied in the context of linear elastostatic analysis of solids.
AB - This contribution presents a method for numerical analysis of solids whose boundaries are represented by oriented point clouds. In contrast to standard finite elements that require a boundary-conforming discretization of the domain of interest, our approach works directly on the point cloud representation of the geometry. This is achieved by combining the inside-outside information that is inferred from the members of the point cloud with a high order immersed boundary technique. This allows for avoiding the challenging task of surface fitting and mesh generation, simplifying the image-based analysis pipeline drastically. We demonstrate by a numerical example how the proposed method can be applied in the context of linear elastostatic analysis of solids.
KW - Finite Cell Method
KW - Image-based finite element analysis
KW - Point clouds
UR - https://www.scopus.com/pages/publications/85066834389
U2 - 10.1007/978-3-030-20805-9_4
DO - 10.1007/978-3-030-20805-9_4
M3 - Conference contribution
AN - SCOPUS:85066834389
SN - 9783030208042
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 33
EP - 41
BT - Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications - 6th International Conference, CompIMAGE 2018, Revised Selected Papers
A2 - Brimkov, Valentin E.
A2 - Brimkov, Valentin E.
A2 - Barneva, Reneta P.
A2 - Kulczycki, Piotr
A2 - Tavares, João Manuel R.S.
PB - Springer Verlag
T2 - 6th International Symposium on Computational Modeling of Objects Presented in Images, CompIMAGE 2018
Y2 - 2 July 2018 through 5 July 2018
ER -