On levels of detail in terrains
Proceedings of the eleventh annual symposium on Computational geometry
Hierarchical triangulation for multiresolution surface description
ACM Transactions on Graphics (TOG)
Real-time, continuous level of detail rendering of height fields
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
View-dependent refinement of progressive meshes
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
View-dependent simplification of arbitrary polygonal environments
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
VARIANT—processing and visualizing terrains at variable resolution
GIS '97 Proceedings of the 5th ACM international workshop on Advances in geographic information systems
Simplicial maps for progressive transmission of polygonal surfaces
Proceedings of the third symposium on Virtual reality modeling language
Efficient implementation of multi-triangulations
Proceedings of the conference on Visualization '98
Variable resolution triangulations
WADS '97 Selected papers presented at the international workshop on Algorithms and data structure
Adaptive Real-Time Level-of-Detail-Based Rendering for Polygonal Models
IEEE Transactions on Visualization and Computer Graphics
Variable Resolution Terrain Surfaces
Proceedings of the 8th Canadian Conference on Computational Geometry
Multi-resolution dynamic meshes with arbitrary deformations
Proceedings of the conference on Visualization '00
Temporal and spatial level of details for dynamic meshes
VRST '01 Proceedings of the ACM symposium on Virtual reality software and technology
Hierarchical multiresolution reconstruction of shell surfaces
Computer Aided Geometric Design
Compressing Multiresolution Triangle Meshes
SSTD '01 Proceedings of the 7th International Symposium on Advances in Spatial and Temporal Databases
Multiple zooming in geographic maps
Data & Knowledge Engineering
Direct Mesh: a Multiresolution Approach to Terrain Visualization
ICDE '04 Proceedings of the 20th International Conference on Data Engineering
Multiresolution amalgamation: dynamic spatial data cube generation
ADC '04 Proceedings of the 15th Australasian database conference - Volume 27
Morse-Smale decompositions for modeling terrain knowledge
COSIT'05 Proceedings of the 2005 international conference on Spatial Information Theory
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The Simplicial Multi-Complex (SMC) is a general multiresolution model for representing k-dimensional spatial objects through simplicial complexes. An SMC integrates several alternative representations of an object and offers simple methods for handling representations at variable resolution efficiently, thus providing a basis for the development of applications that need to manage the level-of-detail of complex objects. In this paper, we present general query operations on such models, we describe and classify alternative data structures for encoding an SMC, and we discuss the cost and performance of such structures.