Representations for Rigid Solids: Theory, Methods, and Systems
ACM Computing Surveys (CSUR)
The Quadtree and Related Hierarchical Data Structures
ACM Computing Surveys (CSUR)
A hierarchical data structure for multidimensional digital images
Communications of the ACM
A null-object detection algorithm for constructive solid geometry
Communications of the ACM
Interference detection among solids and surfaces
Communications of the ACM
A scan-line hidden surface removal procedure for constructive solid geometry
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Efficient octree conversion by connectivity labeling
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Efficient computation and data structures for graphics.
Efficient computation and data structures for graphics.
Spatial query processing in an object-oriented database system
SIGMOD '86 Proceedings of the 1986 ACM SIGMOD international conference on Management of data
Solid representation and operation using extended octrees
ACM Transactions on Graphics (TOG)
Depth-order point classification techniques for CSG display algorithms
ACM Transactions on Graphics (TOG)
Approximating polyhedra with spheres for time-critical collision detection
ACM Transactions on Graphics (TOG)
Applying parallel processing techniques to classification problems in constructive solid geometry
SODA '90 Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms
Hierarchical Data Structures and Algorithms for Computer Graphics
IEEE Computer Graphics and Applications
IEEE Computer Graphics and Applications
Improved Binary Space Partition merging
Computer-Aided Design
Multidimensional data structures for spatial applications
Algorithms and theory of computation handbook
GeoWhiz: toponym resolution using common categories
Proceedings of the 21st ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
SAC: semantic adaptive caching for spatial mobile applications
Proceedings of the 21st ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
Technical Section: Point-based rendering of implicit surfaces in R4
Computers and Graphics
Structured toponym resolution using combined hierarchical place categories
Proceedings of the 7th Workshop on Geographic Information Retrieval
PhotoStand: a map query interface for a database of news photos
Proceedings of the VLDB Endowment
Seeder finder: identifying additional needles in the Twitter haystack
Proceedings of the 6th ACM SIGSPATIAL International Workshop on Location-Based Social Networks
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A discussion is presented of the relationship between two solid representation schemes: constructive solid geometry (CSG trees) and recursive spatial subdivision exemplified by the bintree, a generalization of the quadtree and octree. Detailed algorithms are developed and analyzed for evaluating CSG trees by bintree conversion, i.e., by determining explicitly which parts of space are solid and which empty. These techniques enable the addition of the time dimension and motion to the approximate analysis of CSG trees in a simple manner to solve problems such as dynamic interference detection. For "well-behaved" CSG trees, the execution time of the conversion algorithm is directly related to the spatial complexity of the object represented by the CSG tree (i.e., asymptotically it is proportional to the number of bintree nodes as the resolution increases). The set of well-behaved CSG trees includes all trees that define multidimensional polyhedra in a manner that does not give rise to tangential intersections at CSG tree nodes.