JPS6348229B2 - - Google Patents

Info

Publication number
JPS6348229B2
JPS6348229B2 JP55046674A JP4667480A JPS6348229B2 JP S6348229 B2 JPS6348229 B2 JP S6348229B2 JP 55046674 A JP55046674 A JP 55046674A JP 4667480 A JP4667480 A JP 4667480A JP S6348229 B2 JPS6348229 B2 JP S6348229B2
Authority
JP
Japan
Prior art keywords
stage
signal
values
predictive
image signal
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired
Application number
JP55046674A
Other languages
Japanese (ja)
Other versions
JPS56143764A (en
Inventor
Shoji Mizuno
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
NEC Corp
Original Assignee
Nippon Electric Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Nippon Electric Co Ltd filed Critical Nippon Electric Co Ltd
Priority to JP4667480A priority Critical patent/JPS56143764A/en
Priority to US06/207,500 priority patent/US4344086A/en
Priority to CA000365014A priority patent/CA1165861A/en
Publication of JPS56143764A publication Critical patent/JPS56143764A/en
Publication of JPS6348229B2 publication Critical patent/JPS6348229B2/ja
Granted legal-status Critical Current

Links

Classifications

    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/90Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using coding techniques not provided for in groups H04N19/10-H04N19/85, e.g. fractals
    • H04N19/93Run-length coding
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T9/00Image coding
    • G06T9/004Predictors, e.g. intraframe, interframe coding

Description

【発明の詳細な説明】[Detailed description of the invention]

本発明は多値画像信号を符号化によりデータ圧
縮し、伝送時間の短縮あるいは蓄積メモリ容量の
削減を行なう多値画像信号符号化装置と対になる
多値画像信号復号化装置に関する。 従来の多値画像信号の符号化法の一つに予測符
号化法がある。これは入力ずみの画像信号Sによ
り現在入力中の画像信号xを予測しその予測誤差
信号eを圧縮符号化するものである。予測誤差信
号としては種々考えられるがたとえばe=x―x^
とするものがある。ここでx^はxの予測値であ
る。このときは、予測誤差信号eが小さくなる確
率が高いほど圧縮符号化しやすくなり、効果的な
データ圧縮が可能となる。eを小さくするために
は各Sごとに最適なx^を定める必要がある。たと
えばSが第2図に丸印で示された4画素a、b、
c、dからなるとしよう。第2図において二重丸
印で示された画素が注目画像信号xである。第2
図において点線は画像の主走査線を示し、これに
沿つて画像は左から右へと走査され、右端に到達
するとその下の主走査線の左端から走査が続けら
れる。各画素は0からN―1までのN通りのレベ
ル{0,1,2,…,N―1}をとり得るとしよ
う。すなわちN値画像信号としよう。N値のとき
Sの各画素a、b、c、dは〔log2(N―1)〕+
1ビツトで表現できる。ここで記号〔 〕は〔〕
内の数を越えない最大の整数を表わすとする。S
=(a、b、c、d)に基づきeを小さくする最
適なx^を決定するには一般には複雑な非線形演算
をする必要がある。それを回路で実現するには、
a、b、c、dをアドレスデータとして入力し演
算結果x^をデータして出力するROM(リードオン
リーメモリ)を用いればよい。このROMを以下
予測ROMと呼ぶ。N値のときa、b、c、d及
びx^は〔log2(N―1)〕+1ビツトで表わされるか
ら4{〔log2(N―1)〕+1}ビツトの入力アドレ
ス及び〔log2(N―1)〕+1ビツトの出力データ
を有する予測ROMが必要である。たとえばN=
64のとき入力アドレスは24ビツト、出力データは
6ビツトになる。10ビツトアドレス、3ビツト出
力のROMを用いてこの予測ROMを構成するた
めには(6/3)・224-10=215=32768個も使用す
る必要がある。最適なx^を定めるためにはこのよ
うに大容量のROMが必要であり、実用的でな
い。実用的な予測回路を構成するためには必要な
RMの容量を大幅に減らす必要がある。 本発明の目的は、ほぼ最適な予測を小容量の
ROMで実現し、装置規模が小さくて効率のよい
多値画像信号符号化装置と対になる復号化装置を
提供することにある。 N値画像信号xをn個のそれぞれ高々N1値、
N2値、…、No値の信号に分解し予測符号化し圧
縮符号化して得られた符号化画像信号を復号化す
るとき、圧縮符号より第1段目から第n段目まで
のn種類の予測誤差信号e1、e2、…、eoを伸長復
号化する手段と、すでに復号化ずみのN値画像信
号Sを高々L1値の信号S1に変換しS1と第1段目
の予測誤差信号e1に基づきxを大まかに指定する
高々N1値の予測復号化信号x1を発生する第1段
目の予測復号化手段と、jが2からnまでについ
てSをj―1個のx1、x2、…、xj-1に基づき高々
Lj値の信号Sjに変換しSjと第j段目の予測誤差信
号ejに基づきxをさらに細かに指定する高々Nj
の予測復号化信号xjを発生する第j段目の予測復
号化手段と、前記第1段目から第n段目までの予
測復号化手段によつて得られたn個の予測復号化
信号x1、x2、…、xoから最終的にN値画像信号x
を合成する手段とを有することを特徴とする多値
画像信号復号化装置が得られる。 本発明によれば多値画像信号を小容量のROM
によりほぼ最適な予測を行ない符号化して得られ
る符号化多値画像信号を復号化できる。 以下図面を用いて本発明について詳細に説明す
る。 第1図は本発明の復号化装置と対になる符号化
装置のブロツク図である。予測符号化回路2は多
値画像を光電変換して得られる多値画像信号1を
入力し、参照画像信号Sに基づき現在入力中の画
像信号xの予測を行ないその予測誤差信号3を圧
縮符号化回路4に送る。参照画像信号Sの1例を
第2図に示す。第2図において点線は画像の主走
査線を示し、これに沿つて画像は左から右へ走査
され、右端に到達するとその下の主走査線の左端
から走査が続けられる。丸印で示されたa、b、
c、dは参照画像信号Sを構成する4個の画素で
ある。二重丸印で示されたxは注目画像信号で、
xはx以前に走査ずみの参照画像信号S=(a、
b、c、d)に基づき予測され、その予測誤差が
圧縮符号化される。第2図ではSを構成する画素
は4個としたが5個、66個と、もつと多くの画素
からなるSでもよいし、またdを除いたa、b、
c3個というようにもつと少ない画素からなるSで
もよい。ただSを構成する画素数を余り少なくす
ると符号化効率が減少し、逆に多くすると予測符
号化回路の規模をいたずらに大きくする結果とな
る。以下Sは第2図に示すようにxに隣接する
a、b、c、d4画素からなるとして説明を行な
うことにする。第1図に戻つて説明を続ける。圧
縮符号化回路4は予測誤差信号3を圧縮符号化し
予測誤差符号化信号5として出力する。制御回路
6はクロツク信号、制御信号、同期信号を送出し
各回路を制御する。64値の多値画像信号に対する
予測符号化回路2の1例を第16図に示す。すで
に述べたよようにSは第2図の4画素a、b、
c、dからなるとする。もちろん本例を拡張して
もつと多数の画素からなるSおよびさらに多くの
レベルを有する多値画像信号に対する回路を構成
するのは容易である。すでに説明したように、64
値で参照画像信号が4画素からなるときxに対す
る最適な予測信号x^を得るためには、入力アドレ
ス24ビツト、出力データ6ビツトのROMが必要
である。このような大きな容量のROMを使用す
ることはあまり実用的でない。これをさけるため
第16図の予測符号化回路では、64値の画像信号
の予測符号化を2段の8値信号の予測符号化に分
解して行なう。もちろん後で詳しく説明するよう
に64個の分解の方法には、8値×8値の他にも16
値×4値、4値×4値×4値、8値×4値×2値
など種々考えられる。64個の信号値を0、1、
2、…、63とするとき第1段目の予測符号化は注
目画像信号xがx<8、8x<16、16x<
24、24x<32、32x<40、40x<48、48
x<56、56xの8通りのいずれかであるかを予
測符号化するものであり、第2段目の予測符号化
は第1段目の予測符号化の後に、最終的にxの信
号値を指定するものである。たとえば第1段目の
予測符号化がx<8であれば0、1、2、3、
4、5、6、7の8通りのうちどれがxであるか
を予測符号化し、8x<16であれば8、9、
10、11、12、13、14、15の8通りのどれであるか
を予測符号化する。第1段目の予測符号化を行な
うのにS=(a、b、c、d)を用いれば最も効
率的であるが、入力アドレスが6ビツト×4=24
ビツトの大容量ROMを用意せねばならず実用的
でない。そこで本予測符号化回路では、S=(a、
b、c、d)を第1表に示すT1,1=8、T2,1
16、T3,1=24、T4,1=32、T5,1=40、T6,1=48、
T7,1=56の7個の閾値によつて8値化して8値信
号S1=(a1、b1、c1、d1)としこのS1を用いて第
1段目の予測を行なう。こうすると入力アドレス
が3ビツト×4=12ビツトのROMでよい。xを
前記の7個の閾値T1,1、T2,1、…T7,1で8値化し
たものをx1とすれば結局第1段目の予測はS1でx1
を予測するものである。第3表と第4表の第1列
と第2列にxとx1、aとa1の関係を示す。bと
b1、cとc1、dとd1の関係は第4表のaとa1の関
係と同様である。第2段目の予測も第1段目と同
様S=(a、b、c、d)を用いれば最も効率的
であるが、入力アドレスが6ビツト×4=24ビツ
トの大容量ROMを用意せねばならず実用的でな
い。そこで本予測符号化回路では、S=(a、b、
c、d)をT1,2<T2,2<T3,2<T4,2<T5,2<T6,2
T7,2の7個の閾値を選びこれらによつてS=(a、
b、c、d)を8値化して8値信号S2=(a2、b2
c2、d2)としこのS2を用いて第2段目の予測符号
化を行なう。こうすると入力アドレスが3ビツト
×4=12ビツトのROMでよい。7個の閾値T1,2
T2,2、…、T7,2は第2表のようにx1の値に基づき
定め、第2段目の予測符号化がS2によつて効率
The present invention relates to a multivalued image signal decoding device that is paired with a multivalued image signal encoding device that compresses data of a multivalued image signal by encoding and reduces transmission time or storage memory capacity. One of the conventional encoding methods for multivalued image signals is predictive encoding. This predicts the currently input image signal x using the input image signal S, and compresses and encodes the prediction error signal e. Various prediction error signals can be considered, but for example, e=x−x^
There is something that says. Here x^ is the predicted value of x. At this time, the higher the probability that the prediction error signal e becomes smaller, the easier it becomes to perform compression encoding, and effective data compression becomes possible. In order to reduce e, it is necessary to determine the optimal x^ for each S. For example, S is the four pixels a, b indicated by circles in FIG.
Let's say it consists of c and d. In FIG. 2, the pixel indicated by a double circle is the image signal of interest x. Second
In the figure, the dotted line indicates the main scanning line of the image, along which the image is scanned from left to right, and when the right end is reached, scanning continues from the left end of the main scanning line below. Assume that each pixel can take N levels {0, 1, 2, . . . , N-1} from 0 to N-1. In other words, let it be an N-value image signal. When the value is N, each pixel a, b, c, d of S is [log 2 (N-1)] +
It can be expressed with 1 bit. Here the symbol [ ] is [ ]
Let it represent the largest integer not exceeding the number in . S
In general, it is necessary to perform complex nonlinear calculations to determine the optimal x^ that reduces e based on = (a, b, c, d). To achieve this with a circuit,
A ROM (read only memory) that inputs a, b, c, and d as address data and outputs the calculation result x^ as data may be used. This ROM is hereinafter referred to as predictive ROM. When the value is N, a, b, c, d, and x^ are represented by [log 2 (N-1)] + 1 bits, so the input address of 4 {[log 2 (N-1)] + 1} bits and [log 2 (N-1)]+1 bits of output data are required. For example, N=
64, the input address is 24 bits and the output data is 6 bits. In order to construct this predictive ROM using a ROM with a 10-bit address and a 3-bit output, it is necessary to use (6/3)·2 24-10 =2 15 =32768 ROMs. In order to determine the optimal x^, such a large capacity ROM is required, which is not practical. In order to construct a practical prediction circuit, it is necessary to significantly reduce the required RM capacity. The purpose of the present invention is to obtain near-optimal predictions in small volumes.
It is an object of the present invention to provide a decoding device which is realized by ROM and is paired with a multi-level image signal encoding device which is small in size and efficient. N-value image signal x is divided into n pieces each with at most N 1 value,
When decoding a coded image signal obtained by decomposing into N binary , ..., N o value signals, predictive coding, and compression coding, n types from the first stage to the nth stage from the compression code are used. means for decompressing and decoding the prediction error signals e 1 , e 2 , ..., e o , and converting the already decoded N-value image signal S into a signal S 1 of at most L 1 values, a first-stage predictive decoding means that generates a predictive decoded signal x 1 of at most N 1 values that roughly specifies x based on the eye prediction error signal e 1; - Based on one x 1 , x 2 , ..., x j-1 at most
A j-th stage that generates a predictive decoded signal x j of at most N j values by converting it into a signal S j of L j values and further specifying x based on S j and the prediction error signal e j of the j-th stage. Finally, from the n predictive decoded signals x 1 , x 2 , ..., x o obtained by the predictive decoding means from the first stage to the nth stage, N-value image signal x
There is obtained a multivalued image signal decoding device characterized in that it has a means for synthesizing. According to the present invention, multilevel image signals can be stored in a small-capacity ROM.
Thus, it is possible to decode the encoded multi-level image signal obtained by performing almost optimal prediction and encoding. The present invention will be explained in detail below using the drawings. FIG. 1 is a block diagram of an encoding device that is paired with a decoding device of the present invention. The predictive encoding circuit 2 inputs the multi-value image signal 1 obtained by photoelectrically converting the multi-value image, predicts the currently input image signal x based on the reference image signal S, and converts the prediction error signal 3 into a compression code. The signal is sent to conversion circuit 4. An example of the reference image signal S is shown in FIG. In FIG. 2, the dotted line indicates the main scanning line of the image, along which the image is scanned from left to right, and when the right end is reached, scanning continues from the left end of the main scanning line below. a, b indicated by circles,
c and d are four pixels forming the reference image signal S. The x indicated by a double circle is the image signal of interest,
x is the reference image signal S=(a,
b, c, d), and the prediction error is compressed and encoded. In Fig. 2, the number of pixels constituting S is 4, but S may be made up of as many pixels as 5, 66, or a, b, excluding d,
S may be made up of as few pixels as c3. However, if the number of pixels constituting S is too small, the encoding efficiency will decrease, and if it is increased, the scale of the predictive coding circuit will become unnecessarily large. The following explanation will be given assuming that S consists of four pixels a, b, c, and d adjacent to x, as shown in FIG. Returning to FIG. 1, the explanation will be continued. The compression encoding circuit 4 compresses and encodes the prediction error signal 3 and outputs it as a prediction error encoded signal 5. The control circuit 6 sends out clock signals, control signals, and synchronization signals to control each circuit. FIG. 16 shows an example of the predictive encoding circuit 2 for a 64-value multivalued image signal. As already mentioned, S is the 4 pixels a, b,
Suppose it consists of c and d. Of course, by expanding this example, it is easy to construct a circuit for S consisting of a large number of pixels and a multivalued image signal having even more levels. As already explained, 64
In order to obtain the optimal prediction signal x^ for x when the reference image signal consists of 4 pixels, a ROM with 24 bits of input address and 6 bits of output data is required. It is not very practical to use such a large capacity ROM. To avoid this, the predictive encoding circuit shown in FIG. 16 performs predictive encoding of a 64-value image signal by decomposing it into two stages of predictive encoding of an 8-value signal. Of course, as will be explained in detail later, the 64 decomposition method includes 16 values in addition to 8 values x 8 values.
Various values can be considered, such as value x 4 values, 4 values x 4 values x 4 values, 8 values x 4 values x 2 values, etc. Convert 64 signal values to 0, 1,
2, ..., 63, the first stage predictive coding is such that the image signal of interest x is x<8, 8x<16, 16x<
24, 24x<32, 32x<40, 40x<48, 48
It performs predictive coding to determine whether x<56 or 56x, and the second stage predictive coding is performed after the first stage predictive coding, and finally calculates the signal value of x. is specified. For example, if the first stage predictive encoding is x<8, then 0, 1, 2, 3,
Predictively encode which of the 8 ways x is 4, 5, 6, and 7, and if 8x<16, 8, 9,
Predictive coding is performed to determine which of the eight options 10, 11, 12, 13, 14, and 15 it is. It is most efficient to use S = (a, b, c, d) to perform the first stage predictive encoding, but the input address is 6 bits x 4 = 24
It is not practical because a large capacity ROM of bits must be prepared. Therefore, in this predictive encoding circuit, S=(a,
b, c, d) shown in Table 1 T 1,1 = 8, T 2,1 =
16, T 3,1 = 24, T 4,1 = 32, T 5,1 = 40, T 6,1 = 48,
The 8-value signal S 1 = (a 1 , b 1 , c 1 , d 1 ) is converted into an 8-value signal using 7 threshold values of T 7,1 = 56, and this S 1 is used to predict the first stage. Do the following. In this way, a ROM with an input address of 3 bits x 4 = 12 bits is sufficient. If x is 8-valued using the above seven thresholds T 1,1 , T 2,1 , ...T 7,1 and x 1 is the result, the first stage prediction is S 1 and x 1
It is a prediction. The relationships between x and x 1 and a and a 1 are shown in the first and second columns of Tables 3 and 4. b and
The relationships between b 1 , c and c 1 , and d and d 1 are the same as the relationships between a and a 1 in Table 4. As with the first stage, the second stage of prediction is most efficient if S = (a, b, c, d) is used, but a large capacity ROM with an input address of 6 bits x 4 = 24 bits is prepared. It is not practical because it has to be done. Therefore, in this predictive encoding circuit, S=(a, b,
c, d) as T 1,2 <T 2,2 <T 3,2 <T 4,2 <T 5,2 <T 6,2 <
Select 7 thresholds of T 7,2 and use these to determine S=(a,
b, c, d) and converts them into 8-value signals S 2 = (a 2 , b 2 ,
c 2 , d 2 ) and performs second-stage predictive encoding using this S 2 . In this way, a ROM with an input address of 3 bits x 4 = 12 bits is sufficient. 7 thresholds T 1,2 ,
T 2,2 , ..., T 7,2 are determined based on the value of x 1 as shown in Table 2, and the second stage predictive coding is efficient by S 2 .

【表】【table】

【表】【table】

【表】【table】

Claims (1)

【特許請求の範囲】[Claims] 1 N値画像信号xをn(>2)個のそれぞれ
高々N1値、N2値、…、No値の信号に分解し予測
符号化し圧縮符号化して得られた符号化画像信号
を復号化するとき、圧縮符号から第1段目より第
n段目までの予測誤差信号e1,e2,…,eoを伸長
復号化する手段と、すでに復号化ずみのN値画像
信号Sを高々L1値の信号S1に変換しS1と第1段
目の予測誤差信号e1に基づきxを大まかに指定す
る高々N1値の予測復号化信号x1を発生する第1
段目の予測復号化手段と、jが2からnまでにつ
いてSをj―1個のx1,x2,…,Xj-1に基づき
高々Lj値の信号Sjに変換しSjと第j段目の予測誤
差信号ejに基づきxをさらに細かに指定する高々
Nj値の予測復号化信号xjを発生する第j段目の
予測復号化手段と、前記第1段目から第n段目ま
での予測復号化手段によつて得られたn個の予測
復号化信号x1,x2,…,xoを用い、xをおおまか
に指定するx1をx2でxを詳細に指定する値に変換
し、さらに前記詳細に指定された値をx3で詳細化
し、この操作をxoまで繰り返し最終的にxを再現
する手段とを有することを特徴とする多値画像信
号復号化装置。
1 Decompose the N-value image signal x into n (>2) signals of at most N 1 value, N 2 values, ..., N o values, perform predictive encoding, compression encode, and decode the resulting encoded image signal. When decoding, a means for decompressing and decoding the prediction error signals e 1 , e 2 , ..., e o from the first stage to the nth stage from the compression code, and a means for decoding the already decoded N-value image signal S are used. A first step that converts into a signal S 1 of at most L 1 values, and generates a predictive decoded signal x 1 of at most N 1 values, which roughly specifies x based on S 1 and the first stage prediction error signal e 1 .
The predictive decoding means in the second stage converts S into a signal S j of at most L j values based on j-1 pieces of x 1 , x 2 , ..., X j-1 for j from 2 to n . At most, x can be specified more precisely based on the j-th prediction error signal e j .
n predictions obtained by the j -th stage predictive decoding means that generates the predictive decoded signal x j of N j values, and the predictive decoding means from the first stage to the n-th stage. Using the decoded signals x 1 , x 2 , ..., x o , convert x 1 , which roughly specifies x, into a value that specifies x in detail using x 2 , and further convert the detailed specified value to x 3 . 1. A multivalued image signal decoding device characterized by having means for reproducing x in detail by repeating this operation up to x o and finally reproducing x.
JP4667480A 1979-11-20 1980-04-09 Decoder for multilevel picture signal Granted JPS56143764A (en)

Priority Applications (3)

Application Number Priority Date Filing Date Title
JP4667480A JPS56143764A (en) 1980-04-09 1980-04-09 Decoder for multilevel picture signal
US06/207,500 US4344086A (en) 1979-11-20 1980-11-17 Encoder for encoding a multilevel pel signal sequence with probability representative mode codes allotted to prediction error codes for each pel signal and a decoder therefor
CA000365014A CA1165861A (en) 1979-11-20 1980-11-19 Encoder-decoder system for multilevel picture elements to prediction error codes for each pel signal and a decoder therefor

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP4667480A JPS56143764A (en) 1980-04-09 1980-04-09 Decoder for multilevel picture signal

Publications (2)

Publication Number Publication Date
JPS56143764A JPS56143764A (en) 1981-11-09
JPS6348229B2 true JPS6348229B2 (en) 1988-09-28

Family

ID=12753912

Family Applications (1)

Application Number Title Priority Date Filing Date
JP4667480A Granted JPS56143764A (en) 1979-11-20 1980-04-09 Decoder for multilevel picture signal

Country Status (1)

Country Link
JP (1) JPS56143764A (en)

Also Published As

Publication number Publication date
JPS56143764A (en) 1981-11-09

Similar Documents

Publication Publication Date Title
KR100750165B1 (en) Cabac encoding method and apparatus using improved context model selection with better compression ratio, and cabac decoding method and apparatus
US5086439A (en) Encoding/decoding system utilizing local properties
EP0777386B1 (en) Method and apparatus for encoding and decoding an image
US7133832B2 (en) Recording and reproducing apparatus for use with optical recording medium having real-time, losslessly encoded data
US8285062B2 (en) Method for improving the performance of embedded graphics coding
WO1996015620A1 (en) Context-based, adaptive, lossless image codec
US6118900A (en) Image coding device and image decoding device for use with image disassembly
CN116489369B (en) Driving digital video compression processing method
JPH0955856A (en) Bit plane encoding device
CN103716634A (en) Method and apparatus for data compression using error plane coding
US6055273A (en) Data encoding and decoding method and device of a multiple-valued information source
KR100647192B1 (en) Data coding apparatus and method for reducing decoding time of data
CN111787326B (en) Entropy coding and decoding method and device
US4905002A (en) Delta modulation encoder/decoder method and system
JPS6348229B2 (en)
JPS6348228B2 (en)
KR100207428B1 (en) Variable length coding apparatus and method adaptive to changes of the hoffman codes
US6681049B1 (en) Image encoding method and apparatus
JPH0723238A (en) Picture data compression and decoding device
JP2812064B2 (en) Image processing device
AU672321B2 (en) Data encoding and decoding apparatus and method
JPH06245200A (en) Method and device for scanning two-dimensional data by energy distribution
JP2007028531A (en) Image coding apparatus and image coding method
KR0134324B1 (en) Variable length method of data compression
JP4174084B2 (en) Encoding device, encoding method, decoding device, decoding method, transmission / reception device, and transmission / reception method