Network Working Group S. Midtskogen Internet-Draft A. Fuldseth Intended status: Standards Track M. Zanaty Expires: September 11, 2017 Cisco March 10, 2017 Constrained Low Pass Filter draft-midtskogen-netvc-clpf-04 Abstract This document describes a low complexity filtering technique which is being used as a low pass loop filter in the Thor video codec. Status of This Memo This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79. Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet- Drafts is at http://datatracker.ietf.org/drafts/current/. Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress." This Internet-Draft will expire on September 11, 2017. Copyright Notice Copyright (c) 2017 IETF Trust and the persons identified as the document authors. All rights reserved. This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (http://trustee.ietf.org/license-info) in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Code Components extracted from this document must include Simplified BSD License text as described in Section 4.e of the Trust Legal Provisions and are provided without warranty as described in the Simplified BSD License. Midtskogen, et al. Expires September 11, 2017 [Page 1] Internet-Draft Constrained Low Pass Filter March 2017 Table of Contents 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 2 2. Definitions . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.1. Requirements Language . . . . . . . . . . . . . . . . . . 2 2.2. Terminology . . . . . . . . . . . . . . . . . . . . . . . 2 3. Filtering Process . . . . . . . . . . . . . . . . . . . . . . 3 4. Further complexity considerations . . . . . . . . . . . . . . 6 5. Performance . . . . . . . . . . . . . . . . . . . . . . . . . 6 6. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 7 7. Security Considerations . . . . . . . . . . . . . . . . . . . 7 8. Acknowledgements . . . . . . . . . . . . . . . . . . . . . . 7 9. References . . . . . . . . . . . . . . . . . . . . . . . . . 8 9.1. Normative References . . . . . . . . . . . . . . . . . . 8 9.2. Informative References . . . . . . . . . . . . . . . . . 8 Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 8 1. Introduction Modern video coding standards such as Thor [I-D.fuldseth-netvc-thor] include in-loop filters which correct artifacts introduced in the encoding process. Thor includes a deblocking filter which corrects artifacts introduced by the block based nature of the encoding process, and a low pass filter correcting artifacts not corrected by the deblocking filter, in particular artifacts introduced by quantisation errors of transform coefficients and by the interpolation filter. Since in-loop filters have to be applied in both the encoder and decoder, it is highly desirable that these filters have low computational complexity. 2. Definitions 2.1. Requirements Language The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in RFC 2119 [RFC2119]. 2.2. Terminology This document will refer to a pixel X and eight of its neighbouring pixels A - H ordered in the following pattern. Midtskogen, et al. Expires September 11, 2017 [Page 2] Internet-Draft Constrained Low Pass Filter March 2017 +---+---+---+---+---+ | | | A | | | +---+---+---+---+---+ | | | B | | | +---+---+---+---+---+ | C | D | X | E | F | +---+---+---+---+---+ | | | G | | | +---+---+---+---+---+ | | | H | | | +---+---+---+---+---+ Figure 1: Filter pixel positions In Thor the frames are divided into filter blocks (FB) of 128x128, 64x64 or 32x32 pixels, which is signalled for each frame to be filtered. Also, each frame is divided into coding blocks (CB) which range from 8x8 to 128x128 independent of the FB size. The filter described in this draft can be switched on or off for the entire frame or optionally on or off for each FB. CB's that have been coded using the skip mode are not filtered, and if a FB only contains CB's that have been coded in skip mode, the FB will not be filtered and no signal will be transmitted for this FB. If the frame can't fit a whole number of FB's, the FB's at the right and bottom edges are clipped to fit. For instance, if the frame resolution is 1920x1080 and the FB size is 128x128, the size of the FB's at the bottom of the frame becomes 128x56. 3. Filtering Process Given a pixel X and its neighbouring pixels described above we can define a general non-linear filter as: X' = X + a*constrain(A-X) + b*constrain(B-X) + c*constrain(C-X) + d*constrain(D-X) + e*constrain(E-X) + f*constrain(F-X) + g*constrain(G-X) + h*constrain(H-X) Figure 2: Equation 1 where constrain(x) is a function limiting the range of x. If a neighbour pixel is outside the image frame, it is given the same value as the closest pixel within the frame. To avoid dependencies Midtskogen, et al. Expires September 11, 2017 [Page 3] Internet-Draft Constrained Low Pass Filter March 2017 prohibiting parallel processing, all neighbour pixels must be the unfiltered pixels of the frame being filtered. Experiments in Thor have shown that a good compromise between complexity and performance is a=c=f=h=1/16, b=d=e=g=3/16, and a good constrain function has been found to be: constrain(x, s, d) = sign(x) * max(0, abs(x) - max(0, abs(x) - s + (abs(x) >> (d - log2(s))))) Figure 3: Equation 2 where sign(x) returns 1 or -1 if x is positive or negative respectively, s denotes the strength of the filter by which x will be clipped, and d further constrains the range of x so that the output of the function will linearly approach 0 as abs(x) approaches 2^d. d depends on the frame quality (qp) and is computed as d = bitdepth - 4 + qp/16 Figure 4: Equation 4 for the luma plane and d = bitdepth - 5 + qp/16 Figure 5: Equation 5 for the chroma planes. The constrain function can be visualised as follows Midtskogen, et al. Expires September 11, 2017 [Page 4] Internet-Draft Constrained Low Pass Filter March 2017 s ---- / ---- / ---- 0 ------------ / ------------ ---- / ---- / s ---- -2^d -s 0 s 2^d Figure 6: Graph 1 The filter strength s can be 1, 2 or 4 signalled at frame level when the bitdepth is 8. The strengths are scaled according to the bitdepth, so they become 4, 8 and 16 when the bitdepth is 10, and 16, 32 and 64 when the bitdepth is 12. The rounding is to the nearest integer. This gives us the equation: X' = X + (1*constrain(A-X, s, d) + 3*constrain(B-X, s, d) + (1*constrain(C-X, s, d) + 3*constrain(D-X, s, d) + (3*constrain(E-X, s, d) + 1*constrain(F-X, s, d) + (3*constrain(G-X, s, d) + 1*constrain(H-X, s, d) Figure 7: Equation 6 The filter leaves the encoder 13 different choices for a frame. The filter can be disabled for the entire frame, or the frame is filtered using all distinct combinations of strength (1, 2 or 4 scaled for bitdepth), non-skip FB signal (enabled/disabled) and FB size (32x32, 64x64 or 128x128). Note that the FB size only matters when FB signalling is in use. The decisions at both frame level and FB level may be based on rate- distortion optimisation (RDO), but an encoder running in a low- complexity mode, or possibly a low-delay mode, may instead assume that a fixed mode will be beneficial. In general, using s=2, a QP dependent FB size and RDO only at the FB level gives good results. However, because of the low complexity of the filter, fully RDO based decisions are not costly. The distortion of the 13 configurations of the filter can easily be computed in a single pass by keeping track of the distortions of the three different strengths and the bit costs for different FB sizes. Midtskogen, et al. Expires September 11, 2017 [Page 5] Internet-Draft Constrained Low Pass Filter March 2017 The filter is applied after the deblocking filter. 4. Further complexity considerations The filter has been designed to offer the best compromise between low complexity and performance. All operations are easily vectorised with SIMD instructions and if the video input is 8 bit, all SIMD operations can have 8 bit lanes in architectures such as x86/SSE4 and ARM/NEON. Clipping at frame borders can be implemented using shuffle instructions. 5. Performance The table below shows filters effect on the bandwidth for a selection of 10 second video sequences encoded in Thor with uni-prediction only. The numbers have been computed using the Bjontegaard Delta Rate (BDR). BDR-low and BDR-high indicate the effect at low and high bitrates, respectively, as described in BDR [BDR]. The effect of the filter was tested in two encoder low-delay configurations: high complexity in which the encoder strongly favours compression efficiency over CPU usage, and medium complexity which is more suited for real-time applications. The bandwidth reduction is somewhat less in the high complexity configuration. +----------------+--------------------+--------------------+ | | MEDIUM COMPLEXITY | HIGH COMPLEXITY | +----------------+------+------+------+--------------------+ | | | BDR- | BDR- | | BDR- | BDR- | |Sequence | BDR | low | high | BDR | low | high | +----------------+------+------+------+------+------+------+ |Kimono | -2.6%| -2.3%| -3.2%| -1.7%| -1.7%| -1.9%| |BasketballDrive | -3.9%| -3.1%| -5.0%| -2.8%| -2.4%| -3.5%| |BQTerrace | -7.4%| -4.0%|-10.2%| -4.8%| -2.4%| -6.8%| |FourPeople | -5.5%| -3.9%| -8.2%| -3.8%| -2.9%| -5.1%| |Johnny | -5.2%| -3.5%| -8.2%| -3.3%| -2.7%| -4.5%| |ChangeSeats | -6.4%| -3.9%|-10.2%| -4.7%| -2.6%| -6.9%| |HeadAndShoulder | -9.3%| -3.4%|-19.6%| -6.2%| -2.6%|-11.8%| |TelePresence | -5.8%| -3.6%|-10.0%| -4.5%| -3.3%| -6.6%| +----------------+------+------+------+--------------------+ |Average | -5.8%| -3.5%| -9.3%| -4.0%| -2.6%| -5.9%| +----------------+------+------+------+--------------------+ Figure 8: Compression Performance without Biprediction Midtskogen, et al. Expires September 11, 2017 [Page 6] Internet-Draft Constrained Low Pass Filter March 2017 While the filter objectively performs better at relatively high bitrates, the subjective effect seems better at relatively low bitrates, and overall the subjective effect seems better than what the objective numbers suggest. If biprediction is allowed, there is generally less bandwidth reduction as the table below shows. These results reflect low-delay biprediction without frame reordering. +----------------+--------------------+--------------------+ | | MEDIUM COMPLEXITY | HIGH COMPLEXITY | +----------------+------+------+------+--------------------+ | | | BDR- | BDR- | | BDR- | BDR- | |Sequence | BDR | low | high | BDR | low | high | +----------------+------+------+------+------+------+------+ |Kimono | -2.2%| -2.0%| -2.7%| -1.4%| -1.3%| -1.5%| |BasketballDrive | -3.1%| -3.0%| -3.3%| -1.9%| -2.0%| -1.7%| |BQTerrace | -5.4%| -4.3%| -6.5%| -3.9%| -3.6%| -3.8%| |FourPeople | -3.8%| -2.8%| -5.2%| -2.4%| -1.8%| -3.0%| |Johnny | -3.8%| -3.1%| -4.8%| -2.4%| -2.2%| -2.7%| |ChangeSeats | -4.4%| -3.1%| -6.5%| -3.2%| -2.6%| -3.9%| |HeadAndShoulder | -4.8%| -3.0%| -8.1%| -3.0%| -2.7%| -3.7%| |TelePresence | -3.4%| -2.3%| -5.5%| -2.2%| -1.7%| -3.1%| +----------------+------+------+------+------+------+------+ |Average | -3.9%| -2.9%| -5.3%| -2.5%| -2.2%| -2.9%| +----------------+------+------+------+------+------+------+ Figure 9: Compression Performance with Biprediction 6. IANA Considerations This document has no IANA considerations yet. TBD 7. Security Considerations This document has no security considerations yet. TBD 8. Acknowledgements The authors would like to thank Gisle Bjontegaard for reviewing this document and design, and providing constructive feedback and direction. Midtskogen, et al. Expires September 11, 2017 [Page 7] Internet-Draft Constrained Low Pass Filter March 2017 9. References 9.1. Normative References [I-D.fuldseth-netvc-thor] Fuldseth, A., Bjontegaard, G., Midtskogen, S., Davies, T., and M. Zanaty, "Thor Video Codec", draft-fuldseth-netvc- thor-03 (work in progress), October 2016. [RFC2119] Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, March 1997, . 9.2. Informative References [BDR] Bjontegaard, G., "Calculation of average PSNR differences between RD-curves", ITU-T SG16 Q6 VCEG-M33 , April 2001. Authors' Addresses Steinar Midtskogen Cisco Lysaker Norway Email: stemidts@cisco.com Arild Fuldseth Cisco Lysaker Norway Email: arilfuld@cisco.com Mo Zanaty Cisco RTP,NC USA Email: mzanaty@cisco.com Midtskogen, et al. Expires September 11, 2017 [Page 8]