2003Unpublished venueRequires access

Research on the Curve-Fitting Method Based on Curvature Data

Jianjun Chen

Open publisher page 18 citations

Abstract

This paper presents the curve-fitting methods based on the curvature data, to meet the requirement of the modei reconstruction of the endoscope. After the transformation from linear strain to curvature and the curvature linear interpolation, three methods based on curvature inte-gral are developed for curve fitting by means of the differential geometrv method. A test is carried out to validate the curve fitting methods and analyse the causes of errors. Finally some measures to reduce the fitting errors are suggested.

About this research paper

What this paper is about

This paper presents the curve-fitting methods based on the curvature data, to meet the requirement of the modei reconstruction of the endoscope. After the transformation from linear strain to curvature and the curvature linear interpolation, three methods based on curvature inte-gral are developed for curve fitting by means of the differential geometrv method. A test is carried out to validate the curve fitting methods and analyse the causes of errors. Finally some measures to reduce the fitting errors are suggested.

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OpenAlex reports 18 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper presents the curve-fitting methods based on the curvature data, to meet the requirement of the modei reconstruction of the endoscope. After the transformation from linear strain to curvature and the curvature linear interpolation, three methods based on curvature inte-gral are developed for curve fitting by means of the differential geometrv method. A test is carried out to validate the curve fitting methods and analyse the causes of errors. Finally some measures to reduce the fitting errors are suggested.

Key concepts: Curvature, Curve fitting, Torsion of a curve, Interpolation (computer graphics), Linear interpolation, Center of curvature, Transformation (genetics), Mathematics

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