The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
본 논문에서는 일정한 간격으로 샘플링된 지수 B-스플라인을 계산하는 빠른 방법을 제안합니다. 이 알고리즘은 신호를 빠르게 분해하고 재구성할 수 있는 FIR 및 IIR 필터 조합을 기반으로 합니다. 지수 매개변수에 대해 복소수 값을 선택하면 복소 삼각 함수가 얻어집니다. 이러한 함수의 실수 부분만 실제 신호의 보간에 사용되므로 다항식 B-스플라인 대응 신호와 비교할 때 신호 대역이 덜 제한됩니다. 이러한 특성은 1차원 및 2차원 예제를 통해 검증되었습니다. 이 논문에서는 또한 이미지 처리에 적용될 때 지수 B-스플라인의 효율성에 대해 논의합니다.
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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
부
@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},}
부
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 -