A Computationally Efficient Algorithm for Exponential B-Splines Based on Difference/IIR Filter Approach
Summary :
This paper proposes a fast method for the calculation of exponential B-splines sampled at regular intervals. This algorithm is based on a combination of FIR and IIR filters which enables a fast decomposition and reconstruction of a signal. When complex values are selected for the parameters of the exponentials, complex trigonometric functions are obtained. Only the real part of these functions are used for the interpolation of real signals, leading less bandlimited signals when they are compared with the polynomial B-spline counterparts. These characteristics were verified with 1-D and 2-D examples. This paper also discusses the effectiveness of exponential B-splines, when they are applied to image processing.
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- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.6 pp.1265-1273
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- 2002/06/01
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- Special Section PAPER (Special Section on Papers Selected from 2001 International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC 2001))
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Takeshi ASAHI, Koichi ICHIGE, Rokuya ISHII, "A Computationally Efficient Algorithm for Exponential B-Splines Based on Difference/IIR Filter Approach" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 6, pp. 1265-1273, June 2002, doi: .
Abstract: This paper proposes a fast method for the calculation of exponential B-splines sampled at regular intervals. This algorithm is based on a combination of FIR and IIR filters which enables a fast decomposition and reconstruction of a signal. When complex values are selected for the parameters of the exponentials, complex trigonometric functions are obtained. Only the real part of these functions are used for the interpolation of real signals, leading less bandlimited signals when they are compared with the polynomial B-spline counterparts. These characteristics were verified with 1-D and 2-D examples. This paper also discusses the effectiveness of exponential B-splines, when they are applied to image processing.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_6_1265/_p
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@ARTICLE{e85-a_6_1265,
author={Takeshi ASAHI, Koichi ICHIGE, Rokuya ISHII, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Computationally Efficient Algorithm for Exponential B-Splines Based on Difference/IIR Filter Approach},
year={2002},
volume={E85-A},
number={6},
pages={1265-1273},
abstract={This paper proposes a fast method for the calculation of exponential B-splines sampled at regular intervals. This algorithm is based on a combination of FIR and IIR filters which enables a fast decomposition and reconstruction of a signal. When complex values are selected for the parameters of the exponentials, complex trigonometric functions are obtained. Only the real part of these functions are used for the interpolation of real signals, leading less bandlimited signals when they are compared with the polynomial B-spline counterparts. These characteristics were verified with 1-D and 2-D examples. This paper also discusses the effectiveness of exponential B-splines, when they are applied to image processing.},
keywords={},
doi={},
ISSN={},
month={June},}
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TY - JOUR
TI - A Computationally Efficient Algorithm for Exponential B-Splines Based on Difference/IIR Filter Approach
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1265
EP - 1273
AU - Takeshi ASAHI
AU - Koichi ICHIGE
AU - Rokuya ISHII
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2002
AB - This paper proposes a fast method for the calculation of exponential B-splines sampled at regular intervals. This algorithm is based on a combination of FIR and IIR filters which enables a fast decomposition and reconstruction of a signal. When complex values are selected for the parameters of the exponentials, complex trigonometric functions are obtained. Only the real part of these functions are used for the interpolation of real signals, leading less bandlimited signals when they are compared with the polynomial B-spline counterparts. These characteristics were verified with 1-D and 2-D examples. This paper also discusses the effectiveness of exponential B-splines, when they are applied to image processing.
ER -
English
