Publications
Here is a list of my publications.
- H. Si and Nadja Goerigk. Generalised Bagemihl polyhedra and a tight bound on the number of interior Steiner points, Volume 103, pages 92--102,
Computer-Aided Design, October 2018
- H. Si and Nadja Goerigk. On tetrahedralisations of generalised Chazelle polyhedra with interior Steiner points, Volume 103, page 61--72
Computer-Aided Design, October 2018.
- Franco Dassi, Lennard Kamenski, Patricio Farrell, and H. Si. Tetrahedral mesh improvement using moving mesh smoothing, lazy searching flips, and RBF surface reconstruction, Volume 103, pages 2--13, Computer-Aided Design, October 2018
- Franco Dassi, Andrea Mola, and H. Si. Curvature-adapted remeshing of CAD surfaces.
Engineering with Computers, 2017.
- Franco Dassi, Patricio Farrell, and H. Si.
An Anisoptropic Surface Remeshing Strategy Combining Higher Dimensional Embedding with Radial Basis Functions, SIAM J. Sci. Comput., 39(3), B522--B547. (26 pages), 2017. pdf in 25th IMR
- Franco Dassi, H. Si, Simona Perotto and Timo
Streckenbach. Anisotropic Finite Element Mesh Adaptation via Higher Dimensional
Embedding.
Computer-Aided Design
Volume 85, April 2017, Pages 111--122, 2017.
- H. Si and Nadja Goerigk,
On Tetrahedralisations of Reduced Chazelle Polyhedra with Interior Steiner Points,
In Proc. 25th International Meshing Roundtable,
Washington DC, September, 2016.
- Franco Dassi, Lennard Kamenski, and H. Si.
Tetrahedral Mesh Improvement using Moving Mesh Smoothing and Lazy
Searching Flips,
In Proc. 25th International Meshing Roundtable,
Washington DC, September, 2016. Best Technical Paper Award
- Nadja Goerigk, H. Si, On Indecomposable
Polyhedra and The Number of Steiner Points . In Proc. 24th International Meshing Roundtable,
Austin TX, October, 2015.
- H. Si. TetGen, a Delaunay-based quality tetrahedral mesh generator. ACM Trans. Math. Softw., 41(2):11:1--11:36, February 2015.
- J. R. Shewchuk and H. Si. Higher-Quality Tetrahedral Mesh Generation for Domains with Small Angles by Constrained Delaunay Refinement . In Proceedings of the Thirtieth Annual Symposium on Computational Geometry, SOCG 2014, pages 290--299, New York, NY, USA, 2014. ACM.
- H. Si and J. R. Shewchuk. Incrementally constructing and updating constrained delaunay tetrahedralizations with finite-precision coordinates. Engineering with Computers, 30(2):253--269, 2014. [pdf]
- H. Si, K. Gärtner, 3D boundary recovery by
constrained Delaunay tetrahedralization. Int. J. Numer. Meth. Engrg. 85:
1341--1364, 2011.
- H. Si, J. Fuhrmann, K. Gärtner, Boundary conforming
Delaunay mesh generation. Comput. Math. Phys. 50
(1):38--53, 2010.
- H. Si, Constrained Delaunay tetrahedral mesh generation and
refinement. Finite elements in Analysis and Design, 46
(1-2):33--46, 2010.
- F. Drechsler, C.H. Wolters, T. Dirkes, H. Si, L. Grasedyck, A
full subtraction approach for finite element method based source
analysis constrained Delaunay tetrahedralization, NeuroImage,
46:1055--1065, 2009.
- H. Si, An analysis of Shewchuk's Delaunay refinement
algorithm, In Proc. 18th International Meshing Roundtable, 2009. [pdf]
- H. Si, Adaptive tetrahedral mesh generation by constrained
Delaunay refinement, Int. J. Numer. Meth. Engrg. 75:
856--880, 2008.
Here is my Ph.D thesis: Three dimensional boundary confomring Delaunay mesh
generation, Institute of Mathematics, Technische Univerisität Berlin, 2008.
Corrections: The Lemma 3.3.2 and and the Theorem 3.3.4 in my
Ph.D thesis are
wrong. The correct versions are found in the paper "An analysis of Shewchuk's Delaunay refinement
algorithm, In Proc. 18th International Meshing Roundtable, 2009."
Softwares
TetGen is a
computer program to generate exact Delaunay tetrahedralizations, exact
constrained Delaunay tetrahedralizations, and quality tetrahedral
meshes. The latter are quality conforming Delaunay and nicely graded. The source code as well
as documentation are freely available.
TetView is
a small graphic program used to visualize tetrahedral meshes and
piecewise linear complexes. It directly shows the input and output
objects (in files) of TetGen on screen. It also has many features for
understanding and analysing the viewing objects. It dumps screen
contents in high quality encapsulated postscript format. The
executable file (on Unix/Linux platforms) is freely available.
Last modified: Tue Oct 4 10:39:48 CDT 2016