Applications of spatial data structures: Computer graphics, image processing, and GIS
Applications of spatial data structures: Computer graphics, image processing, and GIS
Multiresolution modeling and visualization of volume data based on simplicial complexes
VVS '94 Proceedings of the 1994 symposium on Volume visualization
Pyramidal simplicial complexes
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
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)
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
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
ROAMing terrain: real-time optimally adapting meshes
VIS '97 Proceedings of the 8th conference on Visualization '97
Building and traversing a surface at variable resolution
VIS '97 Proceedings of the 8th conference on Visualization '97
Progressive TINs: algorithms and applications
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
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Efficient implementation of multi-triangulations
Proceedings of the conference on Visualization '98
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
Representing Vertex-Based Simplicial Multi-complexes
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
Abstraction Pyramids on Discrete Representations
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Tree-Based Encoding for Cancellations on Morse Complexes
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Multiresolution morse triangulations
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Multiresolution 3d rendering on mobile devices
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
Multi-resolution cell complexes based on homology-preserving euler operators
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
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This paper introduces a dimension-independent multiresolution model of a shape, called the Multi-Complex (MC), which is based on decomposition into cells. An MC describes a shape as an initial cell complex approximating it, plus a collection of generic modification patterns to such complex arranged according to a partial order. The partial order is essential to extract variable-resolution shape descriptions in real time. We show how existing multiresolution models reduce to special cases of MCs characterized by specific modification patterns. The MC acts as a unifying framework that is also useful for comparing and evaluating the expressive power of different approaches.