Perceptual organization and the representation of natural form
Artificial Intelligence
Recovery of Parametric Models from Range Images: The Case for Superquadrics with Global Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Interactive curve design using digital French curves
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
The digital Michelangelo project: 3D scanning of large statues
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Segmentation and recovery of superquadrics: computational imaging and vision
Segmentation and recovery of superquadrics: computational imaging and vision
Hierarchical mesh decomposition using fuzzy clustering and cuts
ACM SIGGRAPH 2003 Papers
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Sketching, scaffolding, and inking: a visual history for interactive 3D modeling
Proceedings of the 5th international symposium on Non-photorealistic animation and rendering
Robust statistical estimation of curvature on discretized surfaces
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
Interactive part selection for mesh and point models using hierarchical graph-cut partitioning
Proceedings of Graphics Interface 2009
Quadric surface extraction by variational shape approximation
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Variational mesh segmentation via quadric surface fitting
Computer-Aided Design
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Dense 3D polygon meshes are now a pervasive product of various modelling and scanning processes that need to be subsequently processed and structured appropriately for various applications. In this paper we address the restructuring of dense polygon meshes using their segmentation based on a number of ellipsoidal regions. We present a simple segmentation algorithm where connected components of a mesh are fit to ellipsoidal surface regions. The segmentation of a mesh into a small number of ellipsoidal elements makes for a compact geometric representation and facilitates efficient geometric queries and transformations. We also contrast and compare two polygon remeshing techniques based on the ellipsoidal surfaces and the segmentation boundaries.