Measurement of protein surface shape by solid angles
Journal of Molecular Graphics
Restricted delaunay triangulations and normal cycle
Proceedings of the nineteenth annual symposium on Computational geometry
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Estimating differential quantities using polynomial fitting of osculating jets
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A novel cubic-order algorithm for approximating principal direction vectors
ACM Transactions on Graphics (TOG)
Robust Feature Detection and Local Classification for Surfaces Based on Moment Analysis
IEEE Transactions on Visualization and Computer Graphics
Robust Estimation of Adaptive Tensors of Curvature by Tensor Voting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Robust statistical estimation of curvature on discretized surfaces
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Focal surfaces of discrete geometry
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Principal curvatures from the integral invariant viewpoint
Computer Aided Geometric Design
Identification of C1 and C2 discontinuities for surface meshes in CAD
Computer-Aided Design
An incremental approach to feature aligned quad dominant remeshing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Consistent computation of first- and second-order differential quantities for surface meshes
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Fast mesh segmentation using random walks
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Integral invariants for robust geometry processing
Computer Aided Geometric Design
Extracting lines of curvature from noisy point clouds
Computer-Aided Design
Rapid and effective segmentation of 3D models using random walks
Computer Aided Geometric Design
Technical Section: Content-aware model resizing based on surface deformation
Computers and Graphics
Anisotropic resizing of model with geometric textures
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Robust principal curvatures using feature adapted integral invariants
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Mesh saliency and human eye fixations
ACM Transactions on Applied Perception (TAP)
Feature aligned quad dominant remeshing using iterative local updates
Computer-Aided Design
Optimization approach for 3D model watermarking by linear binary programming
Computer Aided Geometric Design
Feature-preserving mesh denoising based on vertices classification
Computer Aided Geometric Design
Growing Least Squares for the Analysis of Manifolds in Scale-Space
Computer Graphics Forum
Multi-scale salient feature extraction on mesh models
CVM'12 Proceedings of the First international conference on Computational Visual Media
Robust feature extraction based on principal curvature direction
CVM'12 Proceedings of the First international conference on Computational Visual Media
Feature line extraction from unorganized noisy point clouds using truncated Fourier series
The Visual Computer: International Journal of Computer Graphics
Animation-aware quadrangulation
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Hi-index | 0.00 |
Geometry processing algorithms often require the robust extraction of curvature information. We propose to achieve this with principal component analysis (PCA) of local neighborhoods, defined via spherical kernels centered on the given surface Φ Intersection of a kernel ball Br or its boundary sphere Sr with the volume bounded by Φ leads to the so-called ball and sphere neighborhoods. Information obtained by PCA of these neighborhoods turns out to be more robust than PCA of the patch neighborhood Br∩Φ previously used. The relation of the quantities computed by PCA with the principal curvatures of Φ is revealed by an asymptotic analysis as the kernel radius r tends to zero. This also allows us to define principal curvatures "at scale r" in a way which is consistent with the classical setting. The advantages of the new approach are discussed in a comparison with results obtained by normal cycles and local fitting; whereas the former method somewhat lacks in robustness, the latter does not achieve a consistent behavior at features on coarse scales. As to applications, we address computing principal curves and feature extraction on multiple scales.