Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
A first course in geometric topology and differential geometry
A first course in geometric topology and differential geometry
Computational geometry in C (2nd ed.)
Computational geometry in C (2nd ed.)
Optimal triangulation and quadric-based surface simplification
Computational Geometry: Theory and Applications - Special issue on multi-resolution modelling and 3D geometry compression
On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
Computer Aided Geometric Design
Landmark-based registration using features identified through differential geometry
Handbook of medical imaging
Computational Framework for Segmentation and Grouping
Computational Framework for Segmentation and Grouping
Multiresolution feature extraction for unstructured meshes
Proceedings of the conference on Visualization '01
Normal vector voting: crease detection and curvature estimation on large, noisy meshes
Graphical Models - Special issue: Processing on large polygonal meshes
ACM SIGGRAPH 2003 Papers
Robust Feature Detection and Local Classification for Surfaces Based on Moment Analysis
IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH 2004 Papers
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
Estimating differential quantities using polynomial fitting of osculating jets
Computer Aided Geometric Design
Robust moving least-squares fitting with sharp features
ACM SIGGRAPH 2005 Papers
Face offsetting: A unified approach for explicit moving interfaces
Journal of Computational Physics
Smooth feature lines on surface meshes
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Robust principal curvatures on multiple scales
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Automatic extraction of surface structures in digital shape reconstruction
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Parallel feature-preserving mesh smoothing
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV
C1 continuities detection in triangular meshes
Computer-Aided Design
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In computer-aided design and meshing, it is often important to identify the discontinuities (singularities) in coarse surface meshes. Due to the potential low resolution and noise, it is challenging to detect such features. We propose systematic characterizations of the edges, corners and curves at the singularities of a mesh and develop algorithms to identify these geometrical features. Our algorithms can detect C^1 discontinuities as well as typical C^2 discontinuities. We present the analysis of correctness of our method and demonstrate its effectiveness experimentally using stereolithographic (STL) meshes as well as coarse finite-element meshes of real-world objects.