Interpolation with developable Be´zier patches
Computer Aided Geometric Design
Developable (1, n)-Be´zier surfaces
Computer Aided Geometric Design
Developable rational Be´zier and B-spline surfaces
Computer Aided Geometric Design
Umbilics and lines of curvature for shape interrogation
Computer Aided Geometric Design
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Lines of curvature and umbilical points for implicit surfaces
Computer Aided Geometric Design
Computation of rotation minimizing frames
ACM Transactions on Graphics (TOG)
Computing lines of curvature for implicit surfaces
Computer Aided Geometric Design
Parametric representation of a surface pencil with a common line of curvature
Computer-Aided Design
Parametric representation of a surface pencil with a common asymptotic curve
Computer-Aided Design
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Developable surface and line of curvature play an important role in geometric design and surface analysis. This paper proposes a new method to construct a developable surface possessing a given curve as the line of curvature of it. We analyze the necessary and sufficient conditions when the resulting developable surface is a cylinder, cone or tangent surface. Finally, we illustrate the convenience and efficiency of this method by some representative examples.