2022
DOI: 10.1109/lsp.2021.3121198
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Gaussian Fourier Pyramid for Local Laplacian Filter

Abstract: Multi-scale processing is essential in image processing and computer graphics. Halos are a central issue in multi-scale processing. Several edgepreserving decompositions resolve halos, e.g., local Laplacian filtering (LLF), by extending the Laplacian pyramid to have an edge-preserving property. Its processing is costly; thus, an approximated acceleration of fast LLF was proposed to linearly interpolate multiple Laplacian pyramids. This paper further improves the accuracy by Fourier series expansion, named Four… Show more

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Cited by 12 publications
(7 citation statements)
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References 34 publications
(36 reference statements)
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“…The proposed Winograd filtering devices 𝐹(2 × 2,5 × 5) consist of 6 DTR devices, 36 MUL devices and 2 FTR devices. Thus, the parameters of the proposed device modulo 2 𝛼 , based on (26), (30) and (32), are The proposed signal filtering device was compared with a device for filtering by the Winograd method without using RNS [29]. In addition, a comparison was made with a filtering device consisting of multiply-accumulation units (MAC) [30], and a device consisting of truncated multiplyaccumulation units (TMAC) without RNS arithmetic [31] and with RNS [28].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…The proposed Winograd filtering devices 𝐹(2 × 2,5 × 5) consist of 6 DTR devices, 36 MUL devices and 2 FTR devices. Thus, the parameters of the proposed device modulo 2 𝛼 , based on (26), (30) and (32), are The proposed signal filtering device was compared with a device for filtering by the Winograd method without using RNS [29]. In addition, a comparison was made with a filtering device consisting of multiply-accumulation units (MAC) [30], and a device consisting of truncated multiplyaccumulation units (TMAC) without RNS arithmetic [31] and with RNS [28].…”
Section: Discussionmentioning
confidence: 99%
“…The proposed filter architectures can be applied to digital filters for edge detection [32,33] and smoothing [34], discrete wavelet transform [35], and to implement the convolution operation in the convolutional layer of the convolutional neural network [36].…”
Section: Discussionmentioning
confidence: 99%
“…Using edge-preserving filtering, ( 13 ) of the final step is replaced as: where represents any joint edge-preserving filtering with the guidance signal set as . Examples of the final step filtering are high-dimensional filtering (high-dimensional Gaussian filtering [ 47 , 48 ], guided image filtering [ 20 , 71 ], domain transform filtering [ 33 ], adaptive manifold filtering [ 30 ]), frequency transform filtering ( edge-avoiding wavelet [ 72 , 73 ], redundant frequency transform [ 74 ]), adaptive filtering (range parameter adaptive filtering [ 75 ]), enhancement filtering (local Laplacian filtering [ 76 , 77 , 78 ]), statical filtering (fast guided median filtering [ 79 ]), LUT-based filtering [ 80 ], optimization-based filtering (weighted least square optimization [ 81 , 82 ], and L0 smoothing optimization [ 83 ]).…”
Section: Extension Of Decomposed Multilateral Filteringmentioning
confidence: 99%
“…HDKF has various image processing applications. HDKFs are used in various image processing applications, such as denoising [17], deblurring [18], detail enhancement [19] and manipulation [20], high-dynamicrange imaging [21], [22], haze removal [23], low-light image manipulation [24], alpha matting [25], stereo matching [26], and optical flow estimation [27].…”
Section: Introductionmentioning
confidence: 99%