Surfaces in range image understanding
Surfaces in range image understanding
Segmentation through Variable-Order Surface Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visualization and modeling contours of trivariate functions
Visualization and modeling contours of trivariate functions
The NURBS book
Direct construction of polynomial surfaces from dense range images through region growing
ACM Transactions on Graphics (TOG)
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Matrix computations (3rd ed.)
A comparison of local surface geometry estimation methods
Machine Vision and Applications
3D Part Segmentation Using Simulated Electrical Charge Distributions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Superquadrics for Segmenting and Modeling Range Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Practical algorithms for image analysis: description, examples, and code
Practical algorithms for image analysis: description, examples, and code
Methods to recover constant radius rolling ball blends in reverse engineering
Computer Aided Geometric Design
Robust Segmentation of Primitives from Range Data in the Presence of Geometric Degeneracy
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
A survey of methods for recovering quadrics in triangle meshes
ACM Computing Surveys (CSUR)
Advanced surface fitting techniques
Computer Aided Geometric Design
Range-Image segmentation and model reconstruction based on a fit-and-merge strategy
Proceedings of the seventh ACM symposium on Solid modeling and applications
Partitioning 3D Surface Meshes Using Watershed Segmentation
IEEE Transactions on Visualization and Computer Graphics
Part decomposition of 3d surfaces
Part decomposition of 3d surfaces
Automatic extraction of surface structures in digital shape reconstruction
Computer-Aided Design
Automatic recognition of features from freeform surface CAD models
Computer-Aided Design
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Laser range-scanners are used in fields as diverse as product design, reverse engineering, and rapid prototyping to quickly acquire geometric surface data of parts and models. This data is often in the form of a dense, noisy surface mesh that must be simplified into piecewise-smooth surfaces. The method presented here facilitates this time-consuming task by automatically segmenting a dense mesh into regions closely approximated by single surfaces. The algorithm first estimates the noise and curvature of each vertex. Then it filters the curvatures and partitions the mesh into regions with fundamentally different shape characteristics. These regions are then contracted to create seed regions for region growing. For each seed region, the algorithm iterates between region growing and surface fitting to maximize the number of connected vertices approximated by a single underlying surface. The algorithm finishes by filling segment holes caused by outlier noise. We demonstrate the algorithm effectiveness on real data sets.