Recursive filters for fast B-spline interpolation and compression of digital images

Michael A. Unser

doi:10.1117/12.18866

1 July 1990 Recursive filters for fast B-spline interpolation and compression of digital images

Michael A. Unser

Proceedings Volume 1232, Medical Imaging IV: Image Capture and Display; (1990) https://doi.org/10.1117/12.18866
Event: Medical Imaging '90, 1990, Newport Beach, CA, United States

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.

Citation Download Citation

Michael A. Unser "Recursive filters for fast B-spline interpolation and compression of digital images", Proc. SPIE 1232, Medical Imaging IV: Image Capture and Display, (1 July 1990); https://doi.org/10.1117/12.18866

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