BEGIN:VCALENDAR VERSION:2.0 PRODID:Linklings LLC BEGIN:VTIMEZONE TZID:Asia/Seoul X-LIC-LOCATION:Asia/Seoul BEGIN:STANDARD TZOFFSETFROM:+0900 TZOFFSETTO:+0900 TZNAME:KST DTSTART:18871231T000000 DTSTART:19881009T020000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20230103T035312Z LOCATION:Room 324\, Level 3\, West Wing DTSTART;TZID=Asia/Seoul:20221209T140000 DTEND;TZID=Asia/Seoul:20221209T153000 UID:siggraphasia_SIGGRAPH Asia 2022_sess174_papers_484@linklings.com SUMMARY:Constant Time Median Filter using 2D Wavelet Matrix DESCRIPTION:Technical Communications, Technical Papers\n\nConstant Time Me dian Filter using 2D Wavelet Matrix\n\nMoroto, Umetani\n\nThe median filte r is a simple yet powerful noise reduction technique that is extensively a pplied in image, signal, and speech processing. It can effectively remove impulsive noise while preserving the content of the image by taking the me dian of neighboring pixels; thus, it has various applications, such as res toration of a damaged image and facial beautification. The median filter i s typically implemented in one of two major approaches: the histogram-base d method, which requires O(1) computation time per pixel when focusing on the kernel radius r, and the sorting-based method, which requires approxim ately O(r^2) computation time per pixel but has a light constant factor. T hese are used differently depending on the kernel radius and the number of bits in the image. However, the computation time is still slow, particula rly when the kernel radius is in the mid to large range. \n\nThis paper in troduces novel and efficient median filter with constant complexity O(1) f or kernel size using the wavelet matrix data structure, which has been app lied to query-based searches on one-dimensional data. We extended the orig inal wavelet matrix to two-dimensional data for application to computer gr aphics problems. The objective of this study was to achieve high-speed med ian filter computation in parallel computing environment with many threads (i.e., GPUs). Our implementation for the GPU is an order of magnitude fas ter than the histogram method for 8-bit images. Unlike traditional histogr am methods, which suffer from significant computational overhead, the prop osed method can handle images with high pixel depth (e.g., 16- and 32-bit high dynamic range images). When the kernel radius is greater than 12 for 8-bit images, the proposed method outperforms the other median filter comp utation methods.\n\nRegistration Category: FULL ACCESS, ON-DEMAND ACCESS\n \nLanguage: ENGLISH\n\nFormat: IN-PERSON, ON-DEMAND URL:https://sa2022.siggraph.org/en/full-program/?id=papers_484&sess=sess17 4 END:VEVENT END:VCALENDAR