Addendum: B-spline interpolation in medical image processing

Author

Lehmann, Thomas M. ; Gönner, Claudia ; Spitzer, Klaus

Author_Institution

Inst. of Med. Inf., Aachen Univ. of Technol., Germany

Volume

20

Issue

7

fYear

2001

fDate

7/1/2001 12:00:00 AM

Firstpage

660

Lastpage

665

Abstract

Analyzes B-spline interpolation techniques of degree 2, 4, and 5 with respect to all criteria that have been applied to evaluate various interpolation schemes in a recently published survey on image interpolation in medical imaging (Lehmann et al., 1999). It is shown that high-degree B-spline interpolation has superior Fourier properties, smallest interpolation error, and reasonable computing times. Therefore, high-degree B-splines are preferable interpolators for numerous applications in medical image processing, particularly if high precision is required. If no aliasing occurs, this result neither depends on the geometric transform applied for the tests nor the actual content of images.

Keywords

interpolation; medical image processing; splines (mathematics); B-spline interpolation; Fourier properties; aliasing; geometric transform; high-degree B-splines; interpolation error; medical diagnostic imaging; reasonable computing times; Biomedical image processing; Biomedical imaging; Biomedical informatics; Digital filters; Fourier transforms; Image analysis; Interpolation; Kernel; Polynomials; Spline; Diagnostic Imaging; Fourier Analysis; Image Processing, Computer-Assisted;

fLanguage

English

Journal_Title

Medical Imaging, IEEE Transactions on

Publisher

ieee

ISSN

0278-0062

Type

jour

DOI

10.1109/42.932749

Filename

932749