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Proceedings Paper

Recursive filters for fast B-spline interpolation and compression of digital images
Author(s): Michael A. Unser
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Paper Abstract

Signal processing concepts are used to study the problems of obtaining continuous image representations in terms of B-spline basis functions, and performing reconstructions at various magnifications. Filters that compute direct or indirect B-spline transformations are derived and characterized in terms of their z-transforms for polynomial splines of any order. Efficient recursive implementations of these operators are proposed. Recursive filters that efficiently solve the problem of approximating a signal through the use of least squares splines are also derived. This last procedure is analogous to the application of an anti-aliasing filter prior to decimation for the representation of a signal with fewer samples.

Paper Details

Date Published: 1 July 1990
PDF: 11 pages
Proc. SPIE 1232, Medical Imaging IV: Image Capture and Display, (1 July 1990); doi: 10.1117/12.18866
Show Author Affiliations
Michael A. Unser, National Institutes of Health (United States)


Published in SPIE Proceedings Vol. 1232:
Medical Imaging IV: Image Capture and Display
Yongmin Kim, Editor(s)

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