2011Journal of Inner Mongolia University for the NationalitiesRequires access

A Kind of Construction of Approximate Developable Surface

Wang Guo-chen

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Abstract

In this thesis,we present a method to construct approximately developable surfaces,which interpolate a set of points,based on minimizing the norm of the Gauss curvature.The thesis is organized as follows.The definition and basic results of developable surfaces are introduced.Moreover,the developable polynomial surfaces and parametric surfaces are introduced.Finally,the method to construct approximately developable surfaces which interpolate a set of points and some examples are presented

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What this paper is about

In this thesis,we present a method to construct approximately developable surfaces,which interpolate a set of points,based on minimizing the norm of the Gauss curvature.The thesis is organized as follows.The definition and basic results of developable surfaces are introduced.Moreover,the developable polynomial surfaces and parametric surfaces are introduced.Finally,the method to construct approximately developable surfaces which interpolate a set of points and some examples are presented

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Available abstract

In this thesis,we present a method to construct approximately developable surfaces,which interpolate a set of points,based on minimizing the norm of the Gauss curvature.The thesis is organized as follows.The definition and basic results of developable surfaces are introduced.Moreover,the developable polynomial surfaces and parametric surfaces are introduced.Finally,the method to construct approximately developable surfaces which interpolate a set of points and some examples are presented

Key concepts: Developable surface, Mathematics, Curvature, Surface (topology), Ruled surface, Norm (philosophy), Parametric statistics, Gaussian curvature

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