Segmentation and Classification of Range Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Compound surface modelling and machining
Computer-Aided Design
Range Image Segmentation Based on Differential Geometry: A Hybrid Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Surface Parametrization and Curvature Measurement of Arbitrary 3-D Objects: Five Practical Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Modeling and manufacturing of multiple featured objects based on measurement data
Modeling and manufacturing of multiple featured objects based on measurement data
A strategy for finish cutting path generation of compound surfaces
Computers in Industry
The NURBS book
Extending surfaces for reverse engineering solid model generation
Computers in Industry
Directional adaptive surface triangulation
Computer Aided Geometric Design
On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
Computer Aided Geometric Design
Constrained fitting in reverse engineering
Computer Aided Geometric Design
Probe-radius compensation for 3D data points in reverse engineering
Computers in Industry
Piecewise Linear Approximation of Trimmed Surfaces
Geometric Modelling, Dagstuhl, Germany, 1993
Advances in Engineering Software
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An important task in computer graphics, computer-aided design and reverse engineering is the mathematical modeling of three-dimension complex surfaces based on digitized points. However, there are several open problems that are viewed as a bottleneck in the mathematical modeling. The topology is unknown. The reconstruction is based on parameterization and fitting stages. The above problems are influenced mainly by the parameterization, and the issue of parameterization for curve and surface fitting has been a difficult one since the advent of computers in design engineering. To resolve the above problems, in this paper a new strategy based on region-by-region adaptation is presented to surfaces fitting for digitized points. Furthermore, the "regions" used for adaptive surface fitting can be applied extendedly to three industrial applications: (1) tool path generation; (2) slicing; and (3) surface triangulation.