Offsetting operations in solid modelling
Computer Aided Geometric Design
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
SIGGRAPH '96 Proceedings of the 23rd 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
Progressive simplicial complexes
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
r-regular shape reconstruction from unorganized points
SCG '97 Proceedings of the thirteenth annual symposium on Computational geometry
Simplifying surfaces with color and texture using quadric error metrics
Proceedings of the conference on Visualization '98
Fast and memory efficient polygonal simplification
Proceedings of the conference on Visualization '98
GAPS: general and automatic polygonal simplification
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Out-of-core simplification of large polygonal models
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Construction of fair surfaces over irregular meshes
Proceedings of the sixth ACM symposium on Solid modeling and applications
Anisotropic diffusion of surfaces and functions on surfaces
ACM Transactions on Graphics (TOG)
Controlled Topology Simplification
IEEE Transactions on Visualization and Computer Graphics
Topology Simplification for Polygonal Virtual Environments
IEEE Transactions on Visualization and Computer Graphics
Simplification and Repair of Polygonal Models Using Volumetric Techniques
IEEE Transactions on Visualization and Computer Graphics
Mesh Approximation Using a Volume-Based Metric
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Curve and surface smoothing without shrinkage
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
Blending and offsetting solid models (cad/cam, computational geometry, representations, curves, surfaces, approximation)
View-dependent simplification of arbitrary polygonal environments
View-dependent simplification of arbitrary polygonal environments
Butterworth Filtering and Implicit Fairing of Irregular Meshes
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Computing the Minkowski sum of ruled surfaces
Graphical Models
Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Accurate Minkowski Sum Approximation of Polyhedral Models
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Extraction of Topologically Simple Isosurfaces from Volume Datasets
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Shape Simplification Based on the Medial Axis Transform
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Tightening: curvature-limiting morphological simplification
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Semi-automatic stencil creation through error minimization
NPAR '08 Proceedings of the 6th international symposium on Non-photorealistic animation and rendering
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
GPU-based offset surface computation using point samples
Computer-Aided Design
| Hi-index | 0.00 |
The traditional rounding and filleting morphological filters are biased. Hence, as r grows, the rounding Rr(S) of S shrinks and the filleting Fr(S) grows. A shape S is r-regular when Rr(S) = Fr(S) = S. The combinations Fr(Rr(S)) and Rr(Fr(S)) produce nearly r-regular shapes, but retain a bias: Fr(Rr(S)) is usually smaller than S and Rr(Fr(S)) is larger. To overcome this bias, we propose a new filter, called Mason. The r-mortar Mr(S) of S is Fr(S)-Rr(S), and the stability of a point P with respect to S is the smallest value of r for which P belongs to Mr(S). Stability provides important information about the shape's imbedding that cannot be obtained through traditional topological or differential analysis tools. Fr(Rr(S)) and Rr(Fr(S)) only affect space in Mr(S). For each maximally connected component of Mr(S), Mason performs either Fr(Rr(S)) or Rr(Fr(S)), choosing the combination that alters the smallest portion of that component. Hence, Mason acts symmetrically on the shape and on its complement. Its output is guaranteed to have a smaller symmetric difference with the original shape than that of either combination Fr(Rr(S)) or Rr(Fr(S)). Many previously proposed shape simplification algorithms were focused on reducing the combinatorial storage or processing costs of a shape at the expense of the smoothness and regularity or altered the shape in regular portions that did not exhibit any high frequency complexity. Mason is the first shape simplification operator that is independent of the particular representation and offers the advantage of preserving portions of the boundary of S that are regular at the desired scale.