Bulletin of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2432-1982
Data Fitting Using Splines and its Applications
Fujiichi Yoshimoto
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2001 Volume 11 Issue 1 Pages 33-45

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Abstract
After touching upon methods of acquiring data to be fitted, an outline of splines and their important algorithms are explained. Then, the problem of data fitting with a spline is formulated. From the viewpoint of obtaining fair or aesthetic curves, some historical descriptions on interpolation and approximation using splines are given. It is shown that location of good knots is an important issue in the data fitting using splines, and representative approaches for determining good knots are shown. Finally, a brief description of reverse engineering is given, and an effective example of data fitting in reverse engineering is introduced.
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© 2001 The Japan Society for Industrial and Applied Mathematics
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