TY - GEN
T1 - Complex coefficient representation for IIR bilateral filter
AU - Fukushima, Norishige
AU - Sugimoto, Kenjiro
AU - Kamata, Sei Ichiro
N1 - Funding Information:
∗This work was supported by JSPS KAKENHI Grant Number JP15K16023, JP17H01764 †This work was supported by JSPS KAKENHI Grant Number JP16K16092, JP17H01764
Publisher Copyright:
© 2017 IEEE.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/2/20
Y1 - 2018/2/20
N2 - In this paper, we propose an infinite impulse response (IIR) filtering with complex coefficients for Euclid distance based filtering, e.g. bilateral filtering. Recursive filtering of edge-preserving filtering is the most efficient filtering. Recursive bilateral filtering and domain transform filtering belong to this type. These filters measure the difference between pixel intensities by geodesic distance. Also, these filters do not have separability. The aspects make the filter sensitive to noises. Bilateral filtering does not have these issues, but it is time-consuming. In this paper, edge-preserving filtering with the complex exponential function is proposed. The resulting stack of these IIR filtering is merged to approximated edge-preserving in FIR filtering, which includes bilateral filtering. For bilateral filtering, a raised-cosine function is used for efficient approximation. The experimental results show that the proposed filter, named IIR bilateral filter, approximates well and the computational cost is low.
AB - In this paper, we propose an infinite impulse response (IIR) filtering with complex coefficients for Euclid distance based filtering, e.g. bilateral filtering. Recursive filtering of edge-preserving filtering is the most efficient filtering. Recursive bilateral filtering and domain transform filtering belong to this type. These filters measure the difference between pixel intensities by geodesic distance. Also, these filters do not have separability. The aspects make the filter sensitive to noises. Bilateral filtering does not have these issues, but it is time-consuming. In this paper, edge-preserving filtering with the complex exponential function is proposed. The resulting stack of these IIR filtering is merged to approximated edge-preserving in FIR filtering, which includes bilateral filtering. For bilateral filtering, a raised-cosine function is used for efficient approximation. The experimental results show that the proposed filter, named IIR bilateral filter, approximates well and the computational cost is low.
KW - Bilateral filter
KW - Complex exponential coefficient
KW - Edge-preserving filter
KW - IIR bilateral filter
KW - Recursive filter
UR - http://www.scopus.com/inward/record.url?scp=85045297475&partnerID=8YFLogxK
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U2 - 10.1109/ICIP.2017.8296724
DO - 10.1109/ICIP.2017.8296724
M3 - Conference contribution
AN - SCOPUS:85045297475
T3 - Proceedings - International Conference on Image Processing, ICIP
SP - 2458
EP - 2462
BT - 2017 IEEE International Conference on Image Processing, ICIP 2017 - Proceedings
PB - IEEE Computer Society
T2 - 24th IEEE International Conference on Image Processing, ICIP 2017
Y2 - 17 September 2017 through 20 September 2017
ER -