Extracting feature lines from 3D unstructured grids
VIS '97 Proceedings of the 8th conference on Visualization '97
Landmark-based registration using features identified through differential geometry
Handbook of medical imaging
Interactive geometry remeshing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Optimizing 3D triangulations using discrete curvature analysis
Mathematical Methods for Curves and Surfaces
Multiresolution feature extraction for unstructured meshes
Proceedings of the conference on Visualization '01
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Normal vector voting: crease detection and curvature estimation on large, noisy meshes
Graphical Models - Special issue: Processing on large polygonal meshes
A Multi-scale Approach to 3D Scattered Data Interpolation with Compactly Supported Basis Functions
SMI '03 Proceedings of the Shape Modeling International 2003
Thin nets and crest lines: application to satellite data and medical images
ICIP '95 Proceedings of the 1995 International Conference on Image Processing (Vol.2)-Volume 2 - Volume 2
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)
Ridge-valley lines on meshes via implicit surface fitting
ACM SIGGRAPH 2004 Papers
Integral invariants for robust geometry processing
Computer Aided Geometric Design
Tracing ridges on B-Spline surfaces
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Extraction of ridges-valleys for feature-preserving simplification of polygonal models
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part II
Feature line extraction from unorganized noisy point clouds using truncated Fourier series
The Visual Computer: International Journal of Computer Graphics
Hi-index | 0.00 |
Implicit surface fitting is a promising approach to finding ridges and valleys in discrete surfaces, but existing techniques are time-consuming and rely on user-supplied tuning parameters. We use a modified MLS (moving-least-squares) approximation technique to estimate the local differential information near a vertex by means of an approximating surface. Ridge and valley vertices are easily detected as zero-crossings, and can then be connected along the direction of principal curvature. Our method, demonstrated on several large meshed models, produces a good fit which leads to improved visualization. It does not oscillate and is quick to compute.