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Abstract

A PROCEDURE IS DESCRIBED FOR FITTING A SMOOTH CURVE TO A GIVEN SET OF DATA POINTS IN A PLANE. THE CURVE IS CHOSEN TO MINIMISE THE INTEGRATED, SQUARED LOCAL CURVATURE ALONG THE TOTAL LENGTH OF THE CURVE, OPEN-ENDED OR CLOSED,AS REQUIRED. THE FORM OF EACH SEGMENT OF CURVE BETWEEN SUCCESSIVE PAIRS OF DATA POINTS IS THAT OF AN ELASTICA. THE INTERPOLATING CURVE HAS THE PROPERTIES THAT ITS SHAPE IS INDEPENDENT OF TRANSLATIONS AND ROTATIONS OF THE SET OF DATA POINTS RELATIVE TO THE CO-ORDINATE AXES. POSITION, INCLINATION AND CURVATURE ARE ALL CONTINUOUS ALONG ITS LENGTH.

Additional information

Authors: LARKIN F M CULHAM LABORATORY, ABINGDON, UK, CULHAM LABORATORY, ABINGDON, UK
Bibliographic Reference: REPORT CLM-R284, ECU 4.00, AVAILABILITY: HER MAJESTY'S STATIONERY OFFICE, P.O. BOX 276, LONDON
Record Number: 1989126214200 / Last updated on: 1989-04-01
Category: PUBLICATION
Available languages: en