A randomized algorithm for closest-point queries
SIAM Journal on Computing
Applications of random sampling in computational geometry, II
Discrete & Computational Geometry - Selected papers from the fourth ACM symposium on computational geometry, Univ. of Illinois, Urbana-Champaign, June 6 8, 1988
Fast circle-rectangle intersection checking
Graphics gems
A comparison of sequential Delaunay triangulation algorithms
Proceedings of the eleventh annual symposium on Computational geometry
Tetrahedral mesh generation by Delaunay refinement
Proceedings of the fourteenth annual symposium on Computational geometry
External memory algorithms and data structures: dealing with massive data
ACM Computing Surveys (CSUR)
On-Line Algorithms Versus Off-Line Algorithms: How Much is it Worth to Know the Future?
Proceedings of the IFIP 12th World Computer Congress on Algorithms, Software, Architecture - Information Processing '92, Volume 1 - Volume I
Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator
FCRC '96/WACG '96 Selected papers from the Workshop on Applied Computational Geormetry, Towards Geometric Engineering
Incremental constructions con BRIO
Proceedings of the nineteenth annual symposium on Computational geometry
Out-of-core compression for gigantic polygon meshes
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2005 Papers
Large Mesh Simplification using Processing Sequences
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
I/O-efficient construction of constrained delaunay triangulations
ESA'05 Proceedings of the 13th annual European conference on Algorithms
Sparse parallel Delaunay mesh refinement
Proceedings of the nineteenth annual ACM symposium on Parallel algorithms and architectures
ACM SIGGRAPH 2007 sketches
Multilevel streaming for out-of-core surface reconstruction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
A streaming algorithm for surface reconstruction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Processing of volumetric data by slice- and process-based streaming
AFRIGRAPH '07 Proceedings of the 5th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
Algorithm 872: Parallel 2D constrained Delaunay mesh generation
ACM Transactions on Mathematical Software (TOMS)
TerraStream: from elevation data to watershed hierarchies
Proceedings of the 15th annual ACM international symposium on Advances in geographic information systems
Smugglers and border guards: the GeoStar project at RPI
Proceedings of the 15th annual ACM international symposium on Advances in geographic information systems
Streaming tetrahedral mesh optimization
Proceedings of the 2008 ACM symposium on Solid and physical modeling
I/o-efficient efficient algorithms for computing contours on a terrain
Proceedings of the twenty-fourth annual symposium on Computational geometry
A simplicial complex-based DBMS approach to 3D topographic data modelling
International Journal of Geographical Information Science
Incremental construction of the delaunay triangulation and the delaunay graph in medium dimension
Proceedings of the twenty-fifth annual symposium on Computational geometry
Out-of-core multigrid solver for streaming meshes
ACM SIGGRAPH Asia 2009 papers
Reducing the memory required to find a geodesic shortest path on a large mesh
Proceedings of the 17th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
A template for developing next generation parallel Delaunay refinement methods
Finite Elements in Analysis and Design
A QoS controller for adaptive streaming of 3D triangular scenes
Edutainment'07 Proceedings of the 2nd international conference on Technologies for e-learning and digital entertainment
Scalable algorithms for large high-resolution terrain data
Proceedings of the 1st International Conference and Exhibition on Computing for Geospatial Research & Application
Sparse grid distance transforms
Graphical Models
Cleaning massive sonar point clouds
Proceedings of the 18th SIGSPATIAL International Conference on Advances in Geographic Information Systems
Delaunay triangulations in O(sort(n)) time and more
Journal of the ACM (JACM)
Dynamic hierarchical triangulation of a clustered data stream
Computers & Geosciences
Generating raster DEM from mass points via TIN streaming
GIScience'06 Proceedings of the 4th international conference on Geographic Information Science
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We show how to greatly accelerate algorithms that compute Delaunay triangulations of huge, well-distributed point sets in 2D and 3D by exploiting the natural spatial coherence in a stream of points. We achieve large performance gains by introducing spatial finalization into point streams: we partition space into regions, and augment a stream of input points with finalization tags that indicate when a point is the last in its region. By extending an incremental algorithm for Delaunay triangulation to use finalization tags and produce streaming mesh output, we compute a billion-triangle terrain representation for the Neuse River system from 11.2 GB of LIDAR data in 48 minutes using only 70 MB of memory on a laptop with two hard drives. This is a factor of twelve faster than the previous fastest out-of-core Delaunay triangulation software.