Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Topological considerations in isosurface generation
ACM Transactions on Graphics (TOG)
Octree-based decimation of marching cubes surfaces
Proceedings of the 7th conference on Visualization '96
Fluids in the universe: adaptive mesh refinement in cosmology
Computing in Science and Engineering
Efficient Triangular Surface Approximations Using Wavelets and Quadtree Data Structures
IEEE Transactions on Visualization and Computer Graphics
Diving Deep: Data-Management and Visualization Strategies for Adaptive Mesh Refinement Simulations
Computing in Science and Engineering
Sorting for Polyhedron Compositing
Focus on Scientific Visualization
Parallel Rendering of 3D AMR Data on the SGI/Cray T3E
FRONTIERS '99 Proceedings of the The 7th Symposium on the Frontiers of Massively Parallel Computation
The asymptotic decider: resolving the ambiguity in marching cubes
VIS '91 Proceedings of the 2nd conference on Visualization '91
Hierarchical extraction of iso-surfaces with semi-regular meshes
Proceedings of the seventh ACM symposium on Solid modeling and applications
Wavelet representation of contour sets
Proceedings of the conference on Visualization '01
Case study: interactive rendering of adaptive mesh refinement data
Proceedings of the conference on Visualization '02
Rendering the first star in the universe: a case study
Proceedings of the conference on Visualization '02
Iso-Splatting: A Point-Based Alternative to Isosurface Visualization
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Compatible Triangulations of Spatial Decompositions
VIS '04 Proceedings of the conference on Visualization '04
Parallel Cell Projection Rendering of Adaptive Mesh Refinement Data
PVG '03 Proceedings of the 2003 IEEE Symposium on Parallel and Large-Data Visualization and Graphics
Construction of 3D orthogonal cover of a digital object
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Meshless isosurface generation from multiblock data
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Adaptive volume construction from ultrasound images of a human heart
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
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Adaptive mesh refinement (AMR) is a numerical simulation technique used in computational fluid dynamics (CFD). It permits the efficient simulation of phenomena characterized by substantially varying scales in complexity of local behavior of certain variables. By using a set of nested grids at different resolutions, AMR combines the simplicity of structured rectilinear grids with the possibility to adapt to local changes in complexity and spatial resolution. Hierarchical representations of scientific data pose challenges when isosurfaces are extracted. Cracks can arise at the boundaries between regions represented at different resolutions. We present a method for the extraction of isosurfaces from AMR data that avoids cracks at the boundaries between levels of different resolution.