Open access
Date
1997Type
- Report
ETH Bibliography
yes
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Abstract
We describe an alternative way of constructing interpolating B-spline curves, surfaces or volumes in Fourier space which can be used for visualization. In our approach the interpolation problem is considered from a signal processing point of view and is reduced to finding an inverse B-spline filter sequence. The Fourier approach encompasses some advantageous features, such as successive approximation, compression, fast convolution and hardware support. In addition, optimal Wiener filtering can be applied to remove noise and distortions from the initial data points and to compute a smooth, least-squares fitting ‘Wiener spline’. Unlike traditional fitting methods, the described algorithm is simple and easy to implement. The performance of the presented method is illustrated by some examples showing the restoration of surfaces corrupted by various types of distortions. Show more
Permanent link
https://doi.org/10.3929/ethz-a-006652174Publication status
publishedJournal / series
ETH-CS-internal reportVolume
Publisher
ETH, Eidgenössische Technische Hochschule Zürich, Computer Science Department, Institue for Information Systems, Computer Graphics Research GroupSubject
SPLINE INTERPOLATION (MATHEMATICAL ANALYSIS); OBERFLÄCHENGENERIERUNG (COMPUTERGRAFIK); TEXTURE RENDERING (COMPUTER GRAPHICS); OBJEKTMODELLIERUNG (COMPUTERGRAFIK); OBJECT MODELLING (COMPUTER GRAPHICS); SPLINEINTERPOLATION (ANALYSIS)Organisational unit
02150 - Dep. Informatik / Dep. of Computer Science
Notes
Technical Reports D-INFK.More
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ETH Bibliography
yes
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