Smoothing surfaces using reflection lines for families of splines
Computer-Aided Design - Special issue on the shape of surfaces
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Surface Interrogation Algorithms
IEEE Computer Graphics and Applications
An application of color graphics to the display of surface curvature
SIGGRAPH '81 Proceedings of the 8th annual conference on Computer graphics and interactive techniques
Polar Isodistance Curves on Parametric Surfaces
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Region removal and restoration using a genetic algorithm with isophote constraint
Pattern Recognition Letters
Shape optimization using reflection lines
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Multiple Aligned Characteristic Curves for Surface Fairing
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Illustrative visualization: interrogating triangulated surfaces
Computing - Geometric Modelling, Dagstuhl 2008
Matlab-based problem-solving environment for geometric processing of surfaces
ICMS'06 Proceedings of the Second international conference on Mathematical Software
Boundary switch connectors for topological visualization of complex 3D vector fields
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
| Hi-index | 0.00 |
This article shows how to compute the curvature and geodesic curvature of characteristic curves on surfaces, such as contour lines, lines of curvature, asymptotic lines, isophotes, and reflection lines. For particular surface curves the authors introduce their "thickness" as another characteristic property. Although it is not possible to describe these curves in an explicit parametric form, the authors find closed formulas for their curvatures and "thickness." They also discuss how to use curvature and "thickness" of the characteristic surface curves as surface interrogation tools.