Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Computing vertex normals from polygonal facets
Journal of Graphics Tools
Volume conserving smoothing for piecewise linear curves, surfaces, and triple lines
Journal of Computational Physics
Estimating Curvatures and Their Derivatives on Triangle Meshes
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Signed Distance Computation Using the Angle Weighted Pseudonormal
IEEE Transactions on Visualization and Computer Graphics
Layered tetrahedral meshing of thin-walled solids for plastic injection molding FEM
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Geometry and Topology for Mesh Generation (Cambridge Monographs on Applied and Computational Mathematics)
Mesh size functions for implicit geometries and PDE-based gradient limiting
Engineering with Computers
Efficiency issues for ray tracing
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Journal of Computational Physics
Local Orthogonal Cutting Method for Computing Medial Curves and Its Biomedical Applications
SIAM Journal on Scientific Computing
High quality real-time Image-to-Mesh conversion for finite element simulations
Journal of Parallel and Distributed Computing
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We present a boundary-fitted, scale-invariant unstructured tetrahedral mesh generation algorithm that enables registration of element size to local feature size. Given an input triangulated surface mesh, a feature size field is determined by casting rays normal to the surface and into the geometry and then performing gradient-limiting operations to enforce continuity of the resulting field. Surface mesh density is adjusted to be proportional to the feature size field and then a layered anisotropic volume mesh is generated. This mesh is ''scale-invariant'' in that roughly the same number of layers of mesh exist in mesh cross-sections, between a minimum scale size L"m"i"n and a maximum scale size L"m"a"x. We illustrate how this field can be used to produce quality grids for computational fluid dynamics based simulations of challenging, topologically complex biological surfaces derived from magnetic resonance images. The algorithm is implemented in the Pacific Northwest National Laboratory (PNNL) version of the Los Alamos grid toolbox LaGriT. Research funded by the National Heart and Blood Institute Award 1RO1HL073598-01A1.