Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Polygonization of implicit surfaces
Computer Aided Geometric Design
A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Inference of Surfaces, 3D Curves, and Junctions from Sparse, Noisy, 3D Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Improved constructions of Delaunay based contour surfaces
Proceedings of the fifth ACM symposium on Solid modeling and applications
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Progressive geometry compression
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
New techniques for topologically correct surface reconstruction
Proceedings of the conference on Visualization '00
Proceedings of the sixth ACM symposium on Solid modeling and applications
Feature sensitive surface extraction from volume data
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Dual/Primal mesh optimization for polygonized implicit surfaces
Proceedings of the seventh ACM symposium on Solid modeling and applications
Multi-resolution and slice-oriented feature extraction and segmentation of digitized data
Proceedings of the seventh ACM symposium on Solid modeling and applications
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Multiresolution feature extraction for unstructured meshes
Proceedings of the conference on Visualization '01
Edgebreaker: Connectivity Compression for Triangle Meshes
IEEE Transactions on Visualization and Computer Graphics
Piecewise regular meshes: construction and compression
Graphical Models - Special issue: Processing on large polygonal meshes
A Robust Procedure to Eliminate Degenerate Faces from Triangle Meshes
VMV '01 Proceedings of the Vision Modeling and Visualization Conference 2001
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
Edge-sharpener: recovering sharp features in triangulations of non-adaptively re-meshed surfaces
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Sharp Features on Multiresolution Subdivision Surfaces
PG '01 Proceedings of the 9th Pacific Conference on Computer Graphics and Applications
Dynamic Meshes for Accurate Polygonization of Implicit Surfaces with Sharp Features
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
3D Compression Made Simple: Edgebreaker with Zip&Wrap on a Corner-Table
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Marching Intersections: An Efficient Resampling Algorithm for Surface Management
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
SwingWrapper: Retiling triangle meshes for better edgebreaker compression
ACM Transactions on Graphics (TOG)
Reconstructing curves with sharp corners
Computational Geometry: Theory and Applications
Bilateral Recovering of Sharp Edges on Feature-Insensitive Sampled Meshes
IEEE Transactions on Visualization and Computer Graphics
A composite approach to meshing scattered data
Graphical Models - Special issue on SPM 05
Reconstructing sharp features of triangular meshes
Proceedings of the twenty-fifth annual symposium on Computational geometry
Piecewise Rational Manifold Surfaces with Sharp Features
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Incremental reconstruction of sharp edges on mesh surfaces
Computer-Aided Design
SMI 2011: Full Paper: Template-based quadrilateral meshing
Computers and Graphics
Polygon mesh repairing: An application perspective
ACM Computing Surveys (CSUR)
SMI 2013: Voronoi-based feature curves extraction for sampled singular surfaces
Computers and Graphics
SMI 2013: Feature-aware filtering for point-set surface denoising
Computers and Graphics
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Various acquisition, analysis, visualization, and compression approaches sample surfaces of 3D shapes in a uniform fashion without any attempt to align the samples with sharp edges or to adapt the sampling density to the surface curvature. Consequently, triangle meshes that interpolate these samples usually chamfer sharp features and exhibit a relatively large error in their vicinity. We present two new filters that improve the quality of these resampled models. EdgeSharpener restores the sharp edges by splitting the chamfer edges and forcing the new vertices to lie on intersections of planes extending the smooth surfaces incident upon these chamfers. Bender refines the resulting triangle mesh using an interpolating subdivision scheme that preserves the sharpness of the recovered sharp edges while bending their polyline approximations into smooth curves. A combined Sharpen&Bend postprocessing significantly reduces the error produced by feature-insensitive sampling processes. For example, we have observed that the mean-squared distortion introduced by the SwingWrapper remeshing-based compressor can often be reduced by 80 percent executing EdgeSharpener alone after decompression. For models with curved regions, this error may be further reduced by an additional 60 percent if we follow the EdgeSharpening phase by Bender.