<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Fast Intra Mode Decision Algorithm for HEVC Based on Block Textural Properties?</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>ITMO University</institution>
          ,
          <addr-line>Saint Petersburg, 197101, Russian Federation</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>In order to achieve greater coding efficiency compared with the previous video coding standards, various advanced coding techniques are used in the High Efficiency Video Coding (HEVC) standard, such as a flexible partition and a large number of intra prediction modes. However, these techniques lead to much greater complexity that restricts HEVC from realtime applications. To solve this problem, a fast intra mode decision algorithm is proposed in this paper that uses the block's textural properties to determine the partition depth range and decide whether to split or skip smaller sizes of the coding unit. Besides that, the number of candidate modes for the rough mode decision process is also reduced depending on the block's property. Experimental results for the recommended test sequences by the JCT-VC show that the proposed algorithm can save an average of 44% encoder time with a slight loss in performance compared to the reference software HM-16.20.</p>
      </abstract>
      <kwd-group>
        <kwd>HEVC/H</kwd>
        <kwd>265</kwd>
        <kwd>Video Compression</kwd>
        <kwd>Mode Decision</kwd>
        <kwd>Intra-frame Prediction</kwd>
        <kwd>Coding Tree Unit</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        The rapid development of social networks and the exchange of multimedia content sets
many new requirements for transmission and storage systems. In terms of video
compression, although H.264/AVC (Advanced Video Coding) [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] does a pretty good job of
delivering compressed video to users, it has reached its limit of modernization, and new
standards need to be developed to replace it. The international video coding standard
H.265/HEVC (High Efficiency Video Coding) developed in 2013 [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] can reduce bitrate
by 50% while ensuring equivalent quality compared to its predecessor H.264 [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. This
effectiveness is obtained through adaptive coding techniques, such as flexible partition
structures, advanced and adaptive predictions, improved deblocking filter, and entropy
coding. On the other hand, this advantage comes with highly increased computational
complexity, so the development of complexity reduction schemes for HEVC is one of
the most crucial research topics in the field of video compression.
? Publication financially supported by RFBR grant 18-01-00569
      </p>
      <p>This paper focuses on improving the intra-frame coding - one important process in
HEVC by early deciding to split the block and select the best suitable candidate modes.
The rest of this paper is organized as follows. In Section 2, the intra-frame coding is
briefly introduced. The proposed algorithm is presented in Section 3. Section 4 provides
the experimental results, and Section 5 concludes this paper.</p>
    </sec>
    <sec id="sec-2">
      <title>2 Intra prediction in HEVC</title>
      <p>
        Instead of using macroblock as in H.264, HEVC uses the coding tree unit (CTU). Using
the quad-tree partitioning technology, CTU can be split into coding units (CU) - the
basic unit of separation, which has sizes from 64 64 to 8 8, corresponding to a depth of
0 to 3 (Fig. 1a). Based on the partition depth, CU can be recursively split into four equal
CUs. The optimal CTU partition is determined using the rate-distortion cost (RDcost).
In intra-frame coding, each CU is divided into prediction units (PU), which will select
the optimal predictions from 35 modes, including Planar mode (mode 0 - for a slowly
changing area), DC mode (mode 1 - more suitable for a homogeneous area) and 33
angular modes (mode 2 - 34 for different texture directions) (Fig. 1b). Thus, the efficiency
of intra coding increases, but with a significant computational load, even though the
official reference software HM [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] uses a fast three-step encoding algorithm [
        <xref ref-type="bibr" rid="ref5 ref6 ref7">5–7</xref>
        ] with
a combination of rough mode decision (RMD) and rate-distortion optimization (RDO)
processes (Fig. 2) since for each PU, the encoder must calculate the RDcost for all 35
modes, while the maximum number of PU in a CTU is 341.
      </p>
      <p>a)
b)</p>
      <p>
        Recently, much work has been published that offers various solutions to reduce the
computational complexity of the intra mode decision process in HEVC. In general, they
can be divided into two main types: optimization of the partitioning process of CU or
PU [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13 ref14 ref8 ref9">8–14</xref>
        ] and adaptive selection of candidate modes for PU [
        <xref ref-type="bibr" rid="ref10 ref11 ref13 ref19 ref9">9–11, 13, 19</xref>
        ]. In these
works, the coding information such as RDcost, Hadamard cost [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref9">9–12</xref>
        ], or textural
analysis [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] is used to decide the partition size on CU or PU. Decision trees [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], Bayesian
      </p>
      <p>
        Fast Intra Mode Decision Algorithm for HEVC 3
decisions [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], or other machine learning techniques are also used to predict the unit
sizes. The number of input modes for the prediction process can be reduced by
utilizing the gradient histogram distribution [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], the correlation of the corresponding blocks
in the adjacent frames [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ], or statistical analysis of mode distribution [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. Whatever
technique is used, these approaches have shown their effectiveness when efficiently
reduce the coding complexity.
      </p>
      <p>Based on the analysis of existing works, this paper proposes a fast algorithm for
intra-frame coding in HEVC, which allows making an early decision on CTU splitting
and adaptively choosing candidates for the prediction process.
3</p>
    </sec>
    <sec id="sec-3">
      <title>Proposed fast intra mode decision algorithm</title>
      <p>3.1</p>
      <sec id="sec-3-1">
        <title>CTU depth range determination</title>
        <p>CU can have a size from 64 64 to 8 8, with the intra PU varying from 64 64 to 4 4.
The flexible structure in HEVC shows its effectiveness since the encoder can use CU in
different sizes for different areas in the frame. To analyze the correlation between the
quad-tree partition and the textural features of a region, Fig. 3 shows an enlarged part
of the frame of the ”BasketballDrive” sequence encoded by the HM. It can be shown
that in homogeneous areas or areas with a smooth texture, CUs are always selected in
large sizes, while small CUs are suitable for more complex areas with rich details. The
optimal CU is determined for each area by checking all possible sizes, in other words,
all separation depths. This process can cause redundancy and increase computational
complexity since in some homogeneous areas, there is no need to check the small sizes
of the CU. If the optimal CU size or partition depth range can be decided at the early
stage, the wasteful search process of intra mode will be skipped, and thus a considerable
amount of complexity can be significantly reduced in HEVC.</p>
        <p>Based on the relationship between CU size and texture complexity, an algorithm
will be proposed for quickly determining the depth of the CTU, according to which
the encoder can collapse the search area to reduce the computational burden of the
partitioning process.</p>
        <p>The texture complexity of an area or block is strongly related to its samples’
luminance value. The degree of variation in the luminance value in an N N block is
determined as follows:</p>
        <p>LN N =</p>
        <p>1
where Y (i; j) and Ya(i; j) are the luminance values at (i; j) and the average luminance
value of the current block, respectively. LN N represents the different luminance
parameter of the current block. The more sharply the different luminance values change,
the larger value of LN N is obtained.</p>
        <p>The value of LN N changes very quickly when the luminance value in the block
changes. According to LN N , we classify the block into homogeneous, middle texture,
and complex texture. The encoder may terminate the split if the block is homogeneous.
Otherwise, a split decision may be made early for blocks with the complex textural
property.</p>
        <p>8L
&gt;
&lt;</p>
        <p>P1 &lt; L &lt; P2
&gt;:L P2</p>
        <p>P1
homogeneous block;
middle texture block;
complex texture block,
(2)
where P1; P2 are lower and upper thresholds.</p>
        <p>In our algorithm, to avoid calculating complexity for all block sizes, 16 16 CU is
selected as the base block. A 32 32 CU is considered complex if at least one of the
four 16 16 CUs inside it is complex. Similarly for 64 64 CU. In other cases, the
texture of the 32 32 CU is determined by the value L1M6ax16 following Eq. 3, while
Eqs. 1 and 2 are used for 32 32 CU, and the textural property of the block of size
64 64 is obtained from L3M2ax32.</p>
        <p>&gt;8LNMaxN
&lt;
&gt;:LNMaxN</p>
        <p>P1</p>
        <p>P2
P1 &lt; LNMaxN &lt; P2
homogeneous block;
middle texture block;
complex texture block,
(3)
where LNMaxN = maxfLkN N g; k = 0; : : : ; 3.</p>
        <p>Fast Intra Mode Decision Algorithm for HEVC 5</p>
        <p>Since a split decision was made for the CU, the depth of the CTU can be determined
in advance, so that the encoder can skip unnecessary depths. Let Dmin and Dmax
denote the minimum and maximum depth of the current CTU:
(4)
(5)
Dmin =
Dmax =
80 if CU64 64 homogeneous;
&gt;
&lt;</p>
        <p>1 if 9 CU32 32 middle texture;
&gt;:2 otherwise.
80 if CU64 64 homogeneous;
&gt;
&gt;
&gt;&lt;1 if 4 CU32 32 homogeneous;
&gt;2 if 16 CU16 16 homogeneous;
&gt;
&gt;:3 if 9 complex texture block CU16 16:</p>
        <p>Thus, based on texture complexity, the early decision to split or terminate splitting
is made at the CU level, while the optimal depth range is made for the CTU. As a result,
the computational cost of determining the optimal block is reduced.
3.2</p>
      </sec>
      <sec id="sec-3-2">
        <title>Adaptive candidate modes selection</title>
        <p>Statistical analysis of common test sequences shows that the optimal modes’
distributions are not similar for all 35 intra modes. In most of the cases, modes 0 (Planar), 1
(DC), 10 (horizontal mode), and 26 (vertical mode) have larger proportions than other
modes, where mode 0 has the highest proportion, and mode 1 has a second proportion,
as many PU have relatively smooth textures after CU partition and most of them choose
mode 0 or 1 as the optimum mode. Since the textural feature of most sequences has
clear vertical or horizontal directions, the proportions of modes 10 and 26 are higher
than other angle modes. Furthermore, the adjacent modes to those modes are relatively
higher, while the proportions of the rest are insignificant. Hence, the number of input
modes for intra prediction can be reduced, focusing on high probability modes to cut-off
the complexity of the prediction process.</p>
        <p>The original intra mode selection in HM will be modified as follows: instead of all
35, at the first stage of the prediction process, only most probability modes and angular
modes in equal distances (List1) are tested using the RMD process to find modes with
the lowest cost. After that, one more rough mode decision step (RMD2) was added to
check a maximum of 4 more modes surrounding the best results of the first RMD. As
a result, the minimum and the maximum number of modes that need to calculate the
Hadamard costs are 11 and 15.</p>
        <p>List1 = f0; 1; 2; 6; 10; 14; 18; 22; 26; 30; 34g:
(6)</p>
        <p>The block’s texture properties can also be used to further reduce the total number of
candidate modes for intra prediction. Let classify PUs into three categories depending
on their sizes: low complex (homogeneous) (PU 64 64), middle complex (PU 32 32,
PU 16 16), and complex (PU 8 8, PU 4 4). Table 1 shows the distribution of optimal
modes for PU in low and middle complex groups. It can be seen that for homogeneous
or middle complex PU, the number of candidate modes can be reduced to save the
computational load.</p>
        <p>Candidate modes for different PUs are given in Table 2, where for blocks of high
complexity (PU 8 8 and PU 4 4) we will leave as in Eq. 6.</p>
        <p>The overall algorithm, including early determination of the CTU depth range, early
decision of the CU splitting and adaptive selection of candidate modes, is as follows:
Step 1. Classify CUs into a homogeneous, middle, and complex texture.</p>
        <p>Step 2. Predict the depth range [Dmin; Dmax] based on the texture properties of the
CUs.</p>
        <p>Step 3. Select a candidate list for PU in different areas. Calculate RMD.
Step 4. Calculate RMD2 for additional modes. Add most probable modes (MPM).</p>
        <p>Step 5. Calculate the RDO. Choose the best mode.
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Experimental results</title>
      <p>
        The proposed algorithm was implemented in HM-16.20, and several standard test
sequences of different categories were selected for testing. All frames were encoded with
the All Intra-Main configuration and four values of the quantization parameter (QP):
22, 27, 32, 37 [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. All experiments are carried on macOS Mojave version 10.14.x with
Intel© Core™ i5-5257U @ 2.7GHz and 8GB of RAM.
      </p>
      <p>
        The proposed algorithm’s effectiveness is estimated using two metrics: Bjontegaard
delta bitrate (BD-BR) and Bjontegaard delta peak-signal-to-noise (BD-PSNR) [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ].
Encoding time-saving ( T ) is used to evaluate computational complexity.
      </p>
      <p>The comparative results of the proposed algorithm and the original HM-16.20 are
shown in Table 3. The proposal can reach up to 63% of time-saving, while BD-BR
increased on average by 2.54%, and the loss of BD-PSNR was 0.074dB.</p>
      <p>Fast Intra Mode Decision Algorithm for HEVC 7
In order to reduce the computational complexity of the intra mode decision process in
HEVC, this paper proposes a fast algorithm that uses the correlation between the
textural property of an area and the CTU partitioning process. The variation degree of the
luminance value is used to evaluate a block, from which the encoder can make a
decision on CU splitting and determine the CTU depth range. Also, based on the PU sizes,
the number of candidate modes for the selection process is significantly reduced.
Experimental data show that the proposed algorithm can save about 44% of the encoding
time while maintaining almost the same performance.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          1. H.
          <volume>264</volume>
          :
          <article-title>Advanced video coding for generic audiovisual services</article-title>
          , https://www.itu.
          <source>int/rec/TREC-H.264. Last accessed July</source>
          <year>2020</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          2.
          <string-name>
            <surname>Bross</surname>
            ,
            <given-names>B.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Han</surname>
            ,
            <given-names>W.J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ohm</surname>
            ,
            <given-names>J.R.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Sullivan</surname>
            ,
            <given-names>G.J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wang</surname>
            ,
            <given-names>Y.K.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wiegand</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          :
          <article-title>High Efficiency Video Coding (HEVC) text specification draft 10 (for FDIS &amp; Consent)</article-title>
          .
          <source>Document JCTVCL1003 v30</source>
          ,
          <article-title>JCT-VC. Geneva, CH (</article-title>
          <year>2013</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          3.
          <string-name>
            <surname>Ohm</surname>
            ,
            <given-names>J.R.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Sullivan</surname>
            ,
            <given-names>G.J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Schwarz</surname>
            ,
            <given-names>H.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Tan</surname>
            ,
            <given-names>T.K.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wiegand</surname>
            ,
            <given-names>T.</given-names>
          </string-name>
          :
          <article-title>Comparison of the coding efficiency of video coding standards-including high efficiency video coding (HEVC)</article-title>
          .
          <source>IEEE Transactions on Circuits and Systems for Video Technology</source>
          ,
          <volume>22</volume>
          (
          <issue>12</issue>
          ),
          <fpage>1669</fpage>
          -
          <lpage>1684</lpage>
          (
          <year>2012</year>
          ) https://doi.org/10.1109/TCSVT.
          <year>2012</year>
          .2221192
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          4. HEVC reference software, https://hevc.hhi.fraunhofer.de/.
          <source>Last accessed July</source>
          <year>2020</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          5.
          <string-name>
            <surname>Lainema</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Bossen</surname>
          </string-name>
          , F.,
          <string-name>
            <surname>Han</surname>
          </string-name>
          , W.-J.,
          <string-name>
            <surname>Min</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ugur</surname>
            ,
            <given-names>K.</given-names>
          </string-name>
          :
          <article-title>Intra Coding of the HEVC Standard</article-title>
          .
          <source>IEEE Transactions on Circuits and Systems for Video Technology</source>
          ,
          <volume>22</volume>
          (
          <issue>12</issue>
          ),
          <fpage>1792</fpage>
          -
          <lpage>1802</lpage>
          (
          <year>2012</year>
          ) https://doi.org/10.1109/TCSVT.
          <year>2012</year>
          .2221525
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          6.
          <string-name>
            <surname>Hosseini</surname>
            ,
            <given-names>E.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Pakdaman</surname>
            ,
            <given-names>F.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Hashemi</surname>
            ,
            <given-names>M.R.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ghanbari</surname>
            ,
            <given-names>M.:</given-names>
          </string-name>
          <article-title>A computationally scalable fast intra coding scheme for HEVC video encoder</article-title>
          .
          <source>Multimed Tools Appl</source>
          ,
          <volume>78</volume>
          (
          <issue>9</issue>
          ),
          <fpage>11607</fpage>
          -
          <lpage>11630</lpage>
          (
          <year>2019</year>
          ) https://doi.org/10.1007/s11042-018-6713-y
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          7.
          <string-name>
            <surname>Piao</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Min</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Chen</surname>
          </string-name>
          , J.:
          <article-title>Encoder improvement of unified intra prediction</article-title>
          .
          <source>Document JCTVC-C207</source>
          ,
          <article-title>JCT-VC. Guangzhou, CN (</article-title>
          <year>2010</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          8.
          <string-name>
            <surname>Min</surname>
            ,
            <given-names>B.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Cheung</surname>
          </string-name>
          , R.C.
          <article-title>: A fast CU size decision algorithm for the HEVC intra encoder</article-title>
          .
          <source>IEEE Transactions on Circuits and Systems for Video Technology</source>
          ,
          <volume>25</volume>
          (
          <issue>5</issue>
          ),
          <fpage>892</fpage>
          -
          <lpage>896</lpage>
          (
          <year>2014</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          9.
          <string-name>
            <surname>Chen</surname>
            ,
            <given-names>Z.Y.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Chang</surname>
            ,
            <given-names>P.C.</given-names>
          </string-name>
          :
          <article-title>Rough mode cost-based fast intra coding for high-efficiency video coding</article-title>
          .
          <source>Journal of Visual Communication and Image Representation</source>
          ,
          <volume>43</volume>
          ,
          <fpage>77</fpage>
          --
          <lpage>88</lpage>
          (
          <year>2017</year>
          )
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          10.
          <string-name>
            <surname>Lim</surname>
            ,
            <given-names>K.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Lee</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Kim</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Lee</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          :
          <article-title>Fast PU skip and split termination algorithm for HEVC intra prediction</article-title>
          .
          <source>IEEE Transactions on Circuits and Systems for Video Technology</source>
          ,
          <volume>25</volume>
          (
          <issue>8</issue>
          ),
          <fpage>1335</fpage>
          -
          <lpage>1346</lpage>
          (
          <year>2014</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          11.
          <string-name>
            <surname>Yang</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Grecos</surname>
            ,
            <given-names>C.</given-names>
          </string-name>
          :
          <article-title>Fast intra encoding decisions for high efficiency video coding standard</article-title>
          .
          <source>Journal of Real-Time Image Processing</source>
          ,
          <volume>13</volume>
          (
          <issue>4</issue>
          ),
          <fpage>797</fpage>
          -
          <lpage>806</lpage>
          (
          <year>2017</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          12.
          <string-name>
            <surname>Gu</surname>
            ,
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Tang</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          and
          <string-name>
            <surname>Wen</surname>
          </string-name>
          , J.:
          <article-title>SATD based fast intra prediction for HEVC. 2017 Data Compression Conference</article-title>
          (DCC)
          <fpage>442</fpage>
          -
          <lpage>442</lpage>
          (
          <year>2017</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          13.
          <string-name>
            <surname>Sun</surname>
            ,
            <given-names>X.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Chen</surname>
            ,
            <given-names>X.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Xu</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Xiao</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wang</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Yu</surname>
            ,
            <given-names>D.</given-names>
          </string-name>
          :
          <article-title>Fast CU size and prediction mode decision algorithm for HEVC based on direction variance</article-title>
          .
          <source>Journal of Real-Time Image Processing</source>
          ,
          <volume>16</volume>
          (
          <issue>5</issue>
          ),
          <fpage>1731</fpage>
          -
          <lpage>1744</lpage>
          (
          <year>2019</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          14.
          <string-name>
            <surname>Zhang</surname>
          </string-name>
          , J.,
          <string-name>
            <surname>Kwong</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Wang</surname>
            ,
            <given-names>X.</given-names>
          </string-name>
          :
          <article-title>Two-stage fast inter CU decision for HEVC based on bayesian method and conditional random fields</article-title>
          .
          <source>IEEE Transactions on Circuits and Systems for Video Technology</source>
          ,
          <volume>28</volume>
          (
          <issue>11</issue>
          ),
          <fpage>3223</fpage>
          -
          <lpage>3235</lpage>
          (
          <year>2017</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation>
          15.
          <string-name>
            <surname>Ruiz</surname>
            ,
            <given-names>D.</given-names>
          </string-name>
          , Ferna´
          <fpage>ndez</fpage>
          -Escribano,
          <string-name>
            <surname>G.</surname>
          </string-name>
          , Mart´ınez,
          <string-name>
            <given-names>J.L.</given-names>
            ,
            <surname>Cuenca</surname>
          </string-name>
          ,
          <string-name>
            <surname>P.</surname>
          </string-name>
          :
          <year>2019</year>
          .
          <article-title>A unified architecture for fast HEVC intra-prediction coding</article-title>
          .
          <source>Journal of Real-Time Image Processing</source>
          <volume>16</volume>
          (
          <issue>5</issue>
          ),
          <fpage>1825</fpage>
          -
          <lpage>1844</lpage>
          (
          <year>2019</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation>
          16.
          <string-name>
            <surname>Hu</surname>
            ,
            <given-names>N.</given-names>
          </string-name>
          and
          <string-name>
            <surname>Yang</surname>
            ,
            <given-names>E.H.</given-names>
          </string-name>
          :
          <article-title>Fast mode selection for HEVC intra-frame coding with entropy coding refinement based on a transparent composite model</article-title>
          .
          <source>IEEE Transactions on Circuits and Systems for Video Technology</source>
          <volume>25</volume>
          (
          <issue>9</issue>
          ),
          <fpage>1521</fpage>
          -
          <lpage>1532</lpage>
          (
          <year>2015</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref17">
        <mixed-citation>
          17.
          <string-name>
            <surname>Jiang</surname>
            ,
            <given-names>W.</given-names>
          </string-name>
          , Ma, H.,
          <string-name>
            <surname>Chen</surname>
            ,
            <given-names>Y.</given-names>
          </string-name>
          :
          <article-title>Gradient based fast mode decision algorithm for intra prediction in HEVC. 2nd international conference on consumer electronics, communications and networks (CECNet</article-title>
          ),
          <fpage>1836</fpage>
          -
          <lpage>1840</lpage>
          (
          <year>2012</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref18">
        <mixed-citation>
          18.
          <string-name>
            <surname>Motra</surname>
            ,
            <given-names>A.S.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Gupta</surname>
            ,
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Shukla</surname>
            ,
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Bansal</surname>
            ,
            <given-names>P.</given-names>
          </string-name>
          :
          <article-title>Fast intra mode decision for HEVC video encoder</article-title>
          .
          <source>20th International Conference on Software, Telecommunications and Computer</source>
          Networks (SoftCOM
          <year>2012</year>
          ),
          <fpage>1</fpage>
          -
          <lpage>5</lpage>
          (
          <year>2012</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref19">
        <mixed-citation>
          19.
          <string-name>
            <surname>Doan</surname>
            ,
            <given-names>B.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Tropchenko</surname>
            <given-names>A.</given-names>
          </string-name>
          :
          <article-title>Fast Intra Mode Decision for HEVC</article-title>
          .
          <source>11th Majorov International Conference on Software Engineering and Computer Systems (MICSECS</source>
          <year>2019</year>
          ). SaintPetersburg, RU (
          <year>2019</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref20">
        <mixed-citation>
          20.
          <string-name>
            <surname>Bossen</surname>
            ,
            <given-names>F.</given-names>
          </string-name>
          :
          <article-title>Common test conditions and software reference configurations</article-title>
          .
          <source>Document JCTVC-L1100</source>
          ,
          <article-title>JCT-VC. Geneva, CH (</article-title>
          <year>2013</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref21">
        <mixed-citation>
          21.
          <string-name>
            <surname>Bjontegaard</surname>
          </string-name>
          , G.:
          <article-title>Calculation of average PSNR differences between RD-curves</article-title>
          .
          <source>Document VCEG-M33</source>
          , ITU-T. Austin,
          <string-name>
            <surname>Texas</surname>
          </string-name>
          (
          <year>2001</year>
          ).
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>