Surface algorithms using bounds on derivatives
Computer Aided Geometric Design
Curvature analysis and visualization for functions defined on Euclidean spaces or surfaces
Computer Aided Geometric Design
Visualization of curvature plots and evaluation of fairness: an analysis of the effect of “scaling”
Computer Aided Geometric Design
On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
Computer Aided Geometric Design
Estimation of the principle curvatures of approximated surfaces
Computer Aided Geometric Design
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Curvature and the Fairness of Curves and Surfaces
IEEE Computer Graphics and Applications
Surface Interrogation Algorithms
IEEE Computer Graphics and Applications
IEEE Computer Graphics and Applications
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For a given surface with a piecewise smooth boundary, a new method to extend the surface across its boundary is suggested. The extended surface is C^2-continuous along the old boundary, and some extra conditions can be imposed on the new boundary. Furthermore, it is shown that normal curvature of the extended part of the surface can be controlled by predetermined conditions. In order to test the effectiveness of our algorithm, it is shown that surfaces with rectangular and circular boundaries can be extended with all necessary conditions satisfied.