2008•Computer Engineering and Applications JournalRequires access

B-spline surface reconstruction based on profile data

Pan Ri-jing

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Abstract

A method for fittting profile data points using B-spline surface is proposed.Firstly,the profile data points are fited by a B-spline surface with low degree,which is named controlling surface.Secondly,another B-spline surface is controlled approximating the controlling surface,which is named approximating surface.The approach completely avoids the parametrization in surface fitting.Futhermore,the surface builted with this method fitting has fewer control points,and the shape of the surface is also quite fair.

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What this paper is about

A method for fittting profile data points using B-spline surface is proposed.Firstly,the profile data points are fited by a B-spline surface with low degree,which is named controlling surface.Secondly,another B-spline surface is controlled approximating the controlling surface,which is named approximating surface.The approach completely avoids the parametrization in surface fitting.Futhermore,the surface builted with this method fitting has fewer control points,and the shape of the surface is also quite fair.

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Available abstract

A method for fittting profile data points using B-spline surface is proposed.Firstly,the profile data points are fited by a B-spline surface with low degree,which is named controlling surface.Secondly,another B-spline surface is controlled approximating the controlling surface,which is named approximating surface.The approach completely avoids the parametrization in surface fitting.Futhermore,the surface builted with this method fitting has fewer control points,and the shape of the surface is also quite fair.

Key concepts: Surface (topology), B-spline, Parametrization (atmospheric modeling), Surface fitting, Spline (mechanical), Data point, Mathematics, Surface reconstruction

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