JPS6075975A - Processing method of character picture data - Google Patents

Processing method of character picture data

Info

Publication number
JPS6075975A
JPS6075975A JP58183071A JP18307183A JPS6075975A JP S6075975 A JPS6075975 A JP S6075975A JP 58183071 A JP58183071 A JP 58183071A JP 18307183 A JP18307183 A JP 18307183A JP S6075975 A JPS6075975 A JP S6075975A
Authority
JP
Japan
Prior art keywords
contour
point
data
section
character
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.)
Granted
Application number
JP58183071A
Other languages
Japanese (ja)
Other versions
JPH0613212B2 (en
Inventor
Hiroyuki Shibata
博之 芝田
Masatake Takashima
正武 高島
Shinichiro Fukuda
真一郎 福田
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.)
Shaken Co Ltd
Photo Composing Machine Manufacturing Co Ltd
Original Assignee
Shaken Co Ltd
Photo Composing Machine Manufacturing 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 Shaken Co Ltd, Photo Composing Machine Manufacturing Co Ltd filed Critical Shaken Co Ltd
Priority to JP58183071A priority Critical patent/JPH0613212B2/en
Priority to GB08406187A priority patent/GB2147474B/en
Priority to KR1019840001671A priority patent/KR890003318B1/en
Publication of JPS6075975A publication Critical patent/JPS6075975A/en
Priority to US07/057,390 priority patent/US4771474A/en
Priority to HK852/88A priority patent/HK85288A/en
Publication of JPH0613212B2 publication Critical patent/JPH0613212B2/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled

Abstract

PURPOSE:To obtain the compression data faithful to character contours by dividing the contours into blocks to obtain a vector along the contour of a character picture for each block and performing the coding process with approximation of a section polynomial according to said vector. CONSTITUTION:The supplied character images are decomposed 30 into dots and undergo the contour extraction 31. The extracted contour receives the linear approximation 32 with a vector and is identified 33 between a linear part and a curved line part. Then the dividing points of the contour are detected 34 while obtaining the cross angle of adjacent vectors. At the same time, the inclination of each contour point is detected 35 for approximation of the curved line. Thus an n-degree polynomial is obtained from the both-end coordinates of a section receiving the approximation of curved line and the sloping of said section. Then the sample sections are successively decided 36 and the inclination of each contour point is calculated 37 again. An n-degree polynomial which is fathful to the contour is calculated 38 from the inclination of each contour obtained newly and the coordinate value. Then these coefficient, degree numbers, etc. are coded 39 and stored 40. This compression data is decoded 41 by a decoder and a desired character contour is restored 42.

Description

【発明の詳細な説明】 1光明の技術分野1 本発明は、文字・画像(以下、文字という)データの斤
縮万式に係わり、特に、文字の輪郭を関数曲線または直
線の集合で近似し、その輪郭特定情’tfAを1L!憶
りることによってデータ量の圧縮を行イrい、該圧縮さ
れたデータをVNざ、して文字像を再〈1−するJ、う
にした文字画像データの処理方法に関7Jるしの(ある
、。
[Detailed Description of the Invention] 1 Komyo's Technical Field 1 The present invention relates to the universal expression of character/image (hereinafter referred to as character) data, and in particular, to approximating the outline of a character with a function curve or a set of straight lines. , its outline specific information 'tfA 1L! The amount of data is compressed by memorizing the data, and the compressed data is converted to VN to regenerate the character image. (be,.

1光明の曹届技術1 文字をドラ1−分解してめた2舶データが、4−めC冗
長1イ1の高いア′−夕であること(よ周知である。
1. Komyo's So-Notice Technique 1. The 2-ship data obtained by decomposing the characters into 4-C redundancy 1-1 is a high A'-Yu (this is well known).

そこで、従来この冗fMiffを軽減覆るために種々の
データ圧縮り式が1+?案されてきた。
Therefore, in order to reduce and overcome this redundant fMiff, various data compression formulas have been proposed. It has been proposed.

文字の形状を輪郭で把握し、モの輪郭特定情報を記憶づ
ることによってデータ量の圧縮を計るようにした所謂輪
郭法と呼ばれるデータ圧縮方式もぞの1つである。
One of the data compression methods is the so-called contour method, which compresses the amount of data by grasping the shape of a character by its outline and storing the contour specifying information.

この輪郭θ、によるデータ圧縮方式としては、第1図の
如き直線(ベク]〜ル)近似法や、第2図の如ぎr)次
曲線近似法が既にjjl案されている。
As a data compression method using this contour θ, a straight line (vector) approximation method as shown in FIG. 1 and an r)-order curve approximation method as shown in FIG. 2 have already been proposed.

第1図に例示した直線近似法は、特開昭5l−17I9
522弓公報、特開昭55−79154号公報等に開示
された手法であり、その概要は、点線で示した任意文字
の輪郭1を直線で示した2次元ベク1〜ル2の集合で近
似し、各ベタ1〜ルの特定情報(始点位置、長さ及び(
ぼ1き、あるいは、水平・垂直方向成分)を記憶データ
とすることによってデータFf縮を711能と覆るもの
である。
The straight line approximation method illustrated in Fig. 1 is
This method is disclosed in Japanese Patent Application Laid-Open No. 522-79154, etc., and its outline is to approximate the contour 1 of an arbitrary character indicated by a dotted line with a set of two-dimensional vectors 1 to 2 indicated by straight lines. The specific information (starting point position, length and (
By using the horizontal and vertical direction components as stored data, data Ff compression can be overcome with 711 functions.

又、第2図に例示したn次曲線近似法は、本イ9出願人
が特*lll1f55−116160号(特開昭57−
39963号)どして既に出願した手法であり、(の1
11N要は、任意文字の輪郭上に適宜設定した点p a
yの座標を記憶づることによってデータ量の圧縮を削る
と共に、任意連続する( n +1 )個の点を結ぶn
次曲線要素3の集合で・、所望輪郭を近似しようと覆る
ものである。
In addition, the n-th curve approximation method illustrated in FIG.
No. 39963), it is a method that has already been applied for, and
11N The point is to set a point p a appropriately on the outline of an arbitrary character.
By memorizing the y coordinate, the amount of data can be reduced, and by connecting arbitrary consecutive (n + 1) points, n
This is a set of curved elements 3 that overlap in order to approximate a desired contour.

これら輪郭法によるデータ圧縮方式(、Llぞの圧縮デ
ータを’/N Hして文字像を再生する際、補間処理な
いしベクトルの倍率変換処理を実施することにJ、つく
、種々倍率の文′:3−′像再生に対処し得るどい)特
徴を有している。
When reproducing a character image by converting the compressed data of these contour methods into text images with various magnifications, interpolation processing or vector magnification conversion processing is necessary. :3-' It has the characteristics of being able to deal with image reproduction.

1背114技術の問題点] しかし、ぞの反面これら従来方式は、例えば、り′)1
図に43 L)る各ベタ1−ルの端点1つ、あるいは、
第2図にc134Jる各r)次曲線3の接続点p cを
中心とJる左右の各線分の傾さ“角δが、いずれの場合
b′4一連続となっていることからも明らかなように、
輪郭の811らかざ(輪郭の傾きの連続性)について、
最適の結果が保証されないという水質的な欠陥をイーU
 () (い Iこ 。
1 Problems with 114 techniques] However, on the other hand, these conventional methods, for example,
One endpoint of each solid circle in Figure 43L), or
It is clear from the fact that the angle δ, which is the slope of each line segment on the left and right, centering on the connecting point p of each r)-order curve 3 in Figure 2 c134J as the center, is b'4 continuous in any case. Like,
Regarding the 811 Rakaza (continuity of the slope of the contour) of the contour,
Eliminate water quality deficiencies that do not guarantee optimal results.
() (Iko.

これに対して、−一般的に文字の輪郭形状は、単(、二
輪郭白体が連続しているのみならり”、更に、文字画線
の交叉部や[ハネ−1の先端などの時巽イ丁貞を除い0
児た場合、その1次導関数(輪郭の傾き)が連続的に変
化づる!lzf徴を右している。
On the other hand, in general, the contour shape of a character is just a series of two contour white bodies, and furthermore, at the intersection of character strokes, the tip of the wing 1, etc. 0 except Tatsumi Chosada
In the case of a child, its first derivative (slope of the contour) changes continuously! I have lzf symptoms.

従って、従来輪郭法によるデータrI=縮方式では、文
字輪郭に忠実な圧縮データが得がたいばかりでナク、該
データに基づいて再生された文字像の不自然さく傾きの
不連続性)を正ルイ「に取り除くことがでさないという
問題を有していた。
Therefore, with the data rI = reduction method based on the conventional contour method, it is difficult to obtain compressed data that is faithful to the character contour, and it is difficult to obtain compressed data that is faithful to the character contour. The problem was that it could not be removed.

このにうh問題を解決するため、本イ′1出願人は特願
昭57−16884号〈特開昭58−13 /1745
号〉の方式を既に出願した。
In order to solve this problem, the applicant of the present invention filed Japanese Patent Application No. 57-16884 (Japanese Unexamined Patent Publication No. 58-13/1745).
An application has already been filed for method No.

しかし、ここで開示したデータ圧縮方式は、■輪郭全体
を一度に近似しJ:うどしたために、直線部と曲線部が
連続するような輪郭部では、その接続点で輪郭より外れ
た凹凸が発生しやすい。
However, the data compression method disclosed here approximates the entire contour at once, so in contour parts where straight and curved parts are continuous, unevenness that deviates from the contour occurs at the connection point. It's easy to do.

また、これらを回避しJ、うどJれば、更に多くの標本
点を設定し、多くの多項式に分割して近似を行なわな(
プれぼ41らり゛、そのためにFi縮データ量が増大し
てしまうという問題点が明らかとなった。
Also, to avoid these problems, set more sample points, divide into many polynomials, and perform approximation (
As a result, the problem that the amount of Fi reduction data increases has become clear.

■更に、圧縮記憶データをめるために複利な演算を要す
るため、記憶データの作成に時間がかかるという問題点
も残っていた。
(2) Furthermore, since compound interest calculations are required to store compressed storage data, there remains the problem that it takes time to create storage data.

[発明の目的] 本発明の目的は、改良された輪郭法データ圧縮方式を提
供することであり、更に本発明の他の目的は、圧縮デー
タを演算しでめるに際し、演算時間を短縮したにもかか
わらず、文字輪郭に忠実<I:rl縮データか15ノら
れる文字画像データの処理方γムを提供することであり
、更に本発明の他の目的(、j、、文゛tパ輸つ1(の
滑らかさを忠実に記憶するにもかかわらず、充分に高い
データ圧縮率が得られる文字画商データの処理方法をI
V供することであり、史に本発明の他の目的は、本発明
によって圧縮されたデータを解読して文字像を再牛刀−
るに際し、澗らか<>輪郭を持゛つ種々倍率の文字像を
忠実にilJりIC−さるJ、うにし1〜文字画像デー
タの処理方法を&供りること(′ある。
[Object of the Invention] An object of the invention is to provide an improved contour method data compression method, and another object of the invention is to reduce the calculation time when completing calculations on compressed data. Nevertheless, it is an object of the present invention to provide a method for processing character image data that is faithful to the character contour <I: rl reduced data, and furthermore, another object of the present invention is to I have developed a method for processing character and art quotient data that can obtain a sufficiently high data compression rate while faithfully memorizing the smoothness of 1.
Another object of the present invention is to decode the data compressed by the present invention and reconstruct the character image.
When creating a character image, character images with round outlines at various magnifications are faithfully reproduced.

I発明の+11要コ 本発明の方法が関係1]るデータ処理のII■要を第3
3図に示すフローチ鬼・−1〜に従って説明する。
I +11 Essentials of the Invention The method of the present invention is related 1) II ■ Essentials of data processing related to 3
The explanation will be given according to Flowch Oni-1 shown in Fig. 3.

人力した文子(αZはl:x、y171ヘリクス状に1
−ット分解され(30〉、該ドラ1〜分解された文字像
の輪ν1くを抽出Jる(31)。抽出された輪郭は、輪
91(との偏イずZMがW1容誤差以下となるよう4f
ベクトルで直線近似J−る(32)。vi直線近似れた
輪郭は、ベタ1−ルの良さに基づいて直線部と曲線部と
に識別され(33)、一方では、隣接Jるベクトルの交
叉角をめながら、輪郭の分割点をめる(34)。
Fumiko manually made (αZ is l:x, y171 helix shape 1
-t is decomposed (30), and the ring ν1 of the decomposed character image is extracted (31). 4f so that
Linear approximation J-ru (32) using vectors. A contour approximated by a straight line is divided into a straight part and a curved part based on the quality of the solid surface (33), and on the other hand, the dividing point of the contour is determined by determining the intersection angle of adjacent vectors. (34).

そして、曲線部に対しては、該区間の輪郭形状をn次多
項式(n=1)で表わし、曲線部に対しては、該区間の
輪郭形状をn次多項式(n−2,3>で曲線近似づ−る
。前記曲線近似J−るために、輪郭を形成づる各輪郭点
にa3 +)る傾きをめ(35)、曲線近似する区間の
両端座標とその傾きによりn次多項式をめる。そして、
該区間を延長しながら、該区間を近似づるn次多項式と
輪郭との偏位置が許容誤差ノス下に収まる範囲内で最長
と春る区間(リーンプル区間)をめ、該区間の両端点を
サンプル点どして決定しくい<<3G)。このようにし
て、順次リンプル区間をめ、各ナンプル区間を近似する
n次多項式がまると、各n数多In式の1次導関数をめ
、各輪郭点の傾きを再度粋出Jる(37)。イして、新
たにめた各輪郭点の傾さと座標値に基づ′いて前記同様
にリンプル点を決定し、より輪郭に忠実13 n次多項
式を棹出する(38)。このようにしてめた前記n次多
項式における係数及び次数等をコード化しく39)、更
に後の文字輪Of+の復元を効率良く行なうlごめ、1
ブ(IツクのXツノ向に対Jる始点・終点間距1l11
1の畏0ムの順に、各ブロックデータを記憶J−る。1
うにした(/10)。ぞしで記憶されlこ文字#晶つ6
のff l1iiデ゛−りは、複数のf−1−ダにて分
散してw(;%;しく41)、前記解読結果にL↓づい
て所望の文字1品91(を復元勺−る J、 −) t
こ し lこ (42) 。
Then, for a curved part, the contour shape of the section is expressed by an n-degree polynomial (n=1), and for a curved part, the contour shape of the section is expressed by an n-degree polynomial (n-2, 3>). Curve approximation. In order to approximate the curve, find the slope of a3 +) at each contour point forming the contour (35), and use the coordinates of both ends of the section to approximate the curve and its slope to calculate the n-th degree polynomial. Ru. and,
While extending the section, find the longest section (lean pull section) within the range where the offset position between the n-th degree polynomial that approximates the section and the contour is within the tolerance tolerance, and sample both end points of the section. It is difficult to determine by setting <<3G). In this way, once we have found the n-dimensional polynomials that approximate each nipple interval by sequentially determining the ripple intervals, we have determined the first-order derivative of each n-many In expression and re-extracting the slope of each contour point ( 37). Then, based on the slope and coordinate values of each newly determined contour point, the rimple points are determined in the same manner as described above, and a 13 nth degree polynomial that is more faithful to the contour is created (38). In order to code the coefficients, degrees, etc. of the n-dimensional polynomial thus obtained,39) and to efficiently restore the character wheel Of+, 1
(distance between the starting point and the ending point in the direction of the
Each block data is stored in the order of 1 and 0. 1
I made a sea urchin (/10). It is memorized by the letter #Akatsu 6
The ffl1ii data is distributed among multiple f-1-ders and the desired character 91 is restored based on the decoding result L↓. J, -) t
Koshi lko (42).

[−発明の実施例1 次[こ各ハISのデータ処理について詳細【こlTh 
Ill ’Iる。
[-Embodiment 1 of the invention Next [Details about the data processing of each IS]
Ill'Iru.

1画像入力(30>’] ス:し・プ駁;19ヒηのラスタ5L舎iこJ: =)
で文才゛・1111像を[’x 、y171〜リクス状
にドットブン解し、これにj、つ請求められlこピッ1
ヘパターンデータ/JXk!L理ス・1象となるAリジ
ノ°ル文字データとして(Jξ給3れる。
Input 1 image (30>') Raster 5L of 19hi η: =)
Then, the image of Bunzai 1111 is interpreted as ['x, y171 ~ dotbun], and j, is requested, and l is pip1.
Hepattern Data/JXk! As the A-riginol character data that becomes the L logic (Jξ supply 3).

(輪郭抽出(31> 1 分解ドラ1−に対応する2 1iQデータが、xg、た
(まXツノ向において、(−01から「1」まIこ(ま
[1−1から巨)−1に変化ザるドツト位置(輪郭7)
をgtV)ることにより輪郭が帽られる。そ(Jで請求
めた輪郭に対しXを変数とJる1価関数のブ(コックに
分割して複数ブロックの集合とする。
(Contour extraction (31> 1 The 2 1iQ data corresponding to the decomposition driver 1- is Dot position that changes to (outline 7)
gtV) to cap the contour. Divide the contour obtained by J into blocks of monovalent functions with X as a variable and make a set of multiple blocks.

第4図は、し、x、y]ママトリクス状ドツト分解され
た文字データに対し輪郭を抽出りると共に、該輪郭を1
 (dli関数のブ[1ツク((’0]h\ら「0.1
の区間)に分割したものである。
Figure 4 shows how to extract a contour from character data decomposed into matrix-like
(dli function block (('0]h\ et al. '0.1
It is divided into 2 sections).

[直線近似、(32)コ 輪!/l1−1−の任意1ブロックに(13いて、輪郭
との偏ll17量が所定のr1容誤差以下に収まる範囲
で出来るだ4′J長く設定していくようにした多数σ)
ベクトルにより直線近似を行なう。
[Line approximation, (32) Co-wheel! For any one block of /l1-1- (13, the large number σ is set to be as long as 4'J as long as the deviation from the contour is within the predetermined r1 volume error)
Perform linear approximation using vectors.

第5図は、イ丁怠の1ブ[1ツク[P+ 、Pnコ【こ
おいて、点線で示した文字輪郭50を2次元ベク1ヘル
51の集合で直線近似を行なったものである。
FIG. 5 shows a linear approximation of the character outline 50 indicated by the dotted line by a set of two-dimensional vectors 51.

各ベクトル51の接続点P1.[)2.・・・、Pロー
1゜F)nは、標本点として、後)ホする標本点座標記
憶部60に記憶りる。
Connection point P1 of each vector 51. [)2. . . , Plow 1°F)n is stored as a sample point in the sample point coordinate storage unit 60, which will be described later.

[文字輪り]<の直線部と曲線部の識別(33)]前述
した如く、一般的に文才の輪郭形状(よ、直線的な部分
と曲線的な部分とを持ら合わせてJ′3つ、?+U来(
は、輪つ1;仝体を一度に近似しようとし“でいたため
に、心線部と曲線部が連続するような輪1ll(にcl
jい(は、その接わ゛5点近傍に+5いて多くの1!j
(本ハ気を設定し、多くの近似式に分割しで行なわ’:
L’ 4:Jれ+、r <rらづ゛、データIIlが増
大してしまい、几縮率かイj(下づ−るという欠点が生
じていた。
[Identification of the straight and curved parts of the letter ring (33)] As mentioned above, generally speaking, the outline shape of a literary figure (which has a straight part and a curved part) is J'3. Tsu,?+U coming (
Because we tried to approximate the body at once, we created a ring 1ll (with cl
(Yes, there are +5 near the 5 points and many 1!
(This is done by setting up the main idea and dividing it into many approximations:
L'4: Jre+, r<r<r<<, the data IIl increases, resulting in a disadvantage that the reduction rate decreases.

イこ(本発明は、−に連しl〔直線近似によりめl、:
ベタ1−ルの長さに具づいて、輪郭形状が直線部か11
105)部かを識別するようにし、直線部と曲線部とを
夫ノイ別々に処理することで上記欠点を解消りるJ、う
にした。
(The present invention is based on −.) [By linear approximation,
Depending on the length of the solid line, the outline shape is a straight line or 11
105) The above-mentioned drawbacks are resolved by identifying the straight portion and the curved portion, and processing the straight portion and curved portion separately.

第6図は、文字輪郭の直線部と曲線部の識別方法を実現
した構成の一実施例を示すブロック図である41図に(
1夕い−C160は前記直線近似(32)にJ、−)で
15Iられた標本点をブロック単位に記憶する標本+j
、’を座標記憶部、61は識別ベクトル艮L−を設定づ
る直線部識別ベクトル長設定部、62は曲線分割点識別
角tUθを設定する曲線分割点識別角度設定部、631
J: i +1番目の標本点P L+1の座標(x l
、+l 、 ’J 1.+1 )を保持するための次標
本点座標レジスタ、64は1番目の標本点Pcの座標(
×シ。
FIG. 6 is a block diagram showing an example of a configuration that realizes a method for identifying straight and curved portions of a character outline.
1 -C160 is a sample +j that stores the sample points obtained by J, -) in the linear approximation (32) in units of blocks.
, ' are coordinate storage units, 61 is a straight line section identification vector length setting unit for setting the identification vector L-, 62 is a curve division point identification angle setting unit for setting the curve division point identification angle tUθ, 631
J: Coordinates of i+1st sample point P L+1 (x l
, +l, 'J 1. +1), and 64 is the next sample point coordinate register for holding the coordinates (+1) of the first sample point Pc.
×C.

yL )を保持づるための現標本点座標レジスタ、65
はi−1番目の標本点P1−1の座標(X t−1゜y
t−+ )を保持するための前標本点座標レジスタ、6
6 +J、 +iff記次標本点座標レジスタ63ど現
標本点座標レジスタ64の各座標より標本区間[×シ1
X 14 ]のベクI〜ル長βしを締出するベクトル長
算出部、67は前記次標本点座標レジスタ63、現標本
点座標レジスタ64及び前標本点座標レジスタ65の各
々座標J:す、標本点PLでのベクI・ル間角麿θLを
締出゛りるベクトル間角度算出部、68(ま直線部識別
ベクトル長設定部61で設定した識別ベクトル長りと前
記ムク1〜ル長算出部66で隆出したベク]・ル艮!し
どを比較するムク1ヘル長比較部、69は前記曲線分割
点識別角度設定部62でhΩ定した曲線分割点識別角度
θどnlr記ベクトル間角a粋出篩用7で篩用したベク
トル間角度θしとを比較づる角度比較部、70.71は
前記ベトクル長比較部68の比較結果に基づき、直線部
または曲線部の区間を夫々記憶する直線部記憶i’jl
 、 IIII Kl 7’+li記憶部1,72tj
、前記角度比較部6つにおいて、θ>OLのとぎ1番目
の標本点1〕シを曲わ11分割点どしく記憶づる曲線分
割点座標記憶部である。
current sample point coordinate register for holding yL), 65
is the coordinate of the i-1st sample point P1-1 (X t-1゜y
t-+), a previous sample point coordinate register for holding 6
6 +J, +if from each coordinate in the sample point coordinate register 63 to the current sample point coordinate register 64.
A vector length calculation unit 67 calculates the vector I to length β of X 14 ], and 67 calculates the coordinates J: of the next sample point coordinate register 63, the current sample point coordinate register 64, and the previous sample point coordinate register 65. A vector-to-vector angle calculation unit 68 that excludes the vector I and the angle θL at the sample point PL (also calculates the identification vector length set by the straight line part identification vector length setting unit 61 and the muk 1 to line lengths); 69 is a curve division point identification angle θ set by the curve division point identification angle setting unit 62, which is a curve division point identification angle θ and nlr vector. An angle comparison unit 70.71 compares the angle θ between the vectors sieved by the sieve 7, and 70.71 compares the straight section or the curved section based on the comparison result of the vector length comparison section 68. Straight line part memory i'jl
, III Kl 7'+li storage section 1,72tj
, is a curve division point coordinate storage unit that stores the first sample point 1] where θ>OL as 11 division points in the six angle comparison units.

次に動作についてF、+2明J−る。先ず、直線部識別
I\り1−ル艮設定部61において識別ベクトル艮りを
、曲線分N+’1点識別角磨設定部62において曲線ヅ
)割点識別角度0を夫々設定する。次に、標本貞P16
4宗t[2憶部60より、1![意1ブロックの始点用
]ず1(を次標本点座標レジスタ63に送る。この時点
では現(♂(点レジスタ0/lには何も記憶されでいな
いので後述“づるベクトル長算出部66においてムク1
−ル艮を51a)ることはできない。次に、次標本点座
標レジスタ03に記憶された標本点座標は現椋木点座標
レジスタ6’lに記憶され、次標本点座標レジスタ63
3に(よ新たに次棉本点座標が記憶される。以後は、現
株本点座標レジスタ64の標本点座標を前椋本点座標レ
ジスタ65に、次標本点座標レジスタ63の標本点座標
を睨椋木点座標レジスタ64にぞれぞれシフトして記憶
し、次標本点座標レジスタ63に(J、標本点座標記憶
部60 J:り次標本点座標が記憶される。
Next, regarding the operation, F, +2 light J-ru. First, the straight line segment identification I\r1-ru angle setting unit 61 sets the identification vector angle, and the curve segment N+'1 point identification angle setting unit 62 sets the curve 《) division point identification angle 0, respectively. Next, specimen Sada P16
4 sects [from 200 million parts 60, 1! [For the start point of the first block] Zu1() is sent to the next sample point coordinate register 63.At this point, the current (♂(for the starting point of the block 0/l) does not store anything, so the In Muku 1
- You cannot do 51a). Next, the sample point coordinates stored in the next sample point coordinate register 03 are stored in the current Mukuki point coordinate register 6'l, and the next sample point coordinate register 63
3, the next sample point coordinates are newly stored. From now on, the sample point coordinates of the current stock point coordinate register 64 are stored in the Maegura main point coordinate register 65, and the sample point coordinates of the next sample point coordinate register 63 are stored. The coordinates of the next sample point are stored in the coordinate register 64, respectively, and the coordinates of the next sample point are stored in the coordinate register 63 of the next sample point.

ムク1〜ル艮算出部66は、前記次椋氷点座標レジスタ
63の1+1番目の標本点P L+1の座標(X 1.
+I 、 V +、+1 >と現標本点座標レジスタ6
4のi番ト1の標本点「)シの座標(XL 、 Vt、
)より、ベクトルI’i +2 +、 = F璽:r〒
−150■ゴー + yt −y し+1>2を障出す
る。樟出したベクトル長βLはムク1〜l1比較較部0
8にて、前記曲線部識別ベクトル長設定部61で予め設
定し!、識別長りと比較する。ここで、!し〉1.のと
きは、[Xl 、X国]の区間を直線部と判断し、該区
間の始点座標及び終点座標を直線部記憶部70に記憶J
る。;l:た、!し≦1−8のとき+、Il、l’ X
t、 、 Xtn]の区間を曲線部と判断し、一旦、該
区間を記憶し次の区間の識別を行>iう。ここで次の区
間が直線部分であれば、前記記憶した[ X L 、 
X 1.+1 ]の区間を曲線部としてそのグ(1点座
標及び終点座標を曲線部記憶部71に記憶する。一方、
次の区間も曲線部であれば更に次の区間の識別を行なっ
ていき、識別する区間が曲わ;1部か1うu′1線部に
変つlことき、それまで曲線部の連続した[4間を連続
し人:1つの曲線部として、その始点)J!!標と終点
座標を曲線部記憶部71に記憶りる。
The 1st to 3rd calculation unit 66 calculates the coordinates (X 1.
+I, V+, +1 > and current sample point coordinate register 6
Coordinates (XL, Vt,
), vector I'i +2 +, = F〒:r〒
-150 ■ Go + yt -y and +1>2 is impaired. The vector length βL extracted from the camphor is Muku 1 to l1 comparison part 0
8, the curve section identification vector length setting section 61 sets the length in advance! , compared with identification length. here,! 〉1. In this case, the section [Xl, country
Ru. ;l: Ta-! When ≦1-8, +, Il, l' X
t, , Here, if the next section is a straight section, the above-mentioned memorized [XL,
X1. +1 ] as a curved section, and its 1 point coordinates and end point coordinates are stored in the curved section storage section 71. On the other hand,
If the next section is also a curved section, the next section is further identified, and the section to be identified is curved; [4 consecutive spaces: as one curved section, its starting point] J! ! The target and end point coordinates are stored in the curve section storage section 71.

[輪郭の分割(34)1 1ノ、ベク]〜ル間角瓜篩用部67では、次椋本1:、
九沙樟レジスタ63.現標本貞座標レジスタ6/l。
[Divide the contour (34) 1 1, vector] In the square melon sieve section 67 between
Jiusa Zhang Register 63. Current sample coordinate register 6/l.

前校:本点座標レジスタ65より、それぞれ標本点l′
1lt−+ 、 F:′t 、 、 P t、+1の座
標(xt−t、yt−+)、(xL。
Previous school: From the main point coordinate register 65, each sample point l'
1lt-+ , F:'t, , P t, +1 coordinates (xt-t, yt-+), (xL.

Vt )、(XI、÷l、y1.+1)を読み出し、第
5図に示すベク1〜ル間角度θ((θしは鋭角)を紳出
覆る。
Vt ), (XI, ÷l, y1.+1) are read out, and the angle θ ((θ is an acute angle) between the vectors 1 and 1 shown in FIG. 5 is calculated.

C)出したムク1〜ル間角度θ(は角磨比較部69に゛
(、前記曲線分割点識別角度設定部62(・予め設定し
lこ曲線分割点識別(CJ+良oと比較づ”る。ここ−
C1θ、・OLのどき、標本点PLを新たに曲線部21
11点どして、曲線分割点座標記憶部72にその座標を
iid憶づ゛る。
C) The angle θ (between the curved lines 1 and 2) is set in the angle comparison section 69, and the curve dividing point identification angle setting section 62 (preliminarily set). Here.
C1θ, · OL, new sample point PL to curved part 21
11 points and store the coordinates iid in the curve dividing point coordinate storage section 72.

通常、この曲線公式IJ点の近傍に多くの標本点が存在
し請求める近似曲線の処理に時間がかかつていl〔が、
MiJ記求めたこの曲線分割点で輪郭を分割することに
J:す、曲線分割点の前後で夫々別個に曲線近似覆るの
で処理時間も速く、しかも容易に近似曲線をめることが
できる。
Normally, there are many sample points near this curve formula IJ point, and it takes time to process the approximate curve.
By dividing the contour at the curve division points obtained, the curve approximation is performed separately before and after the curve division point, so the processing time is quick and the approximate curve can be easily obtained.

第7図は、第4図に図示した文字輪郭データに対して、
上記した[直線近似<32)]−F輪郭の分割(34)
]のデータ処理を施した例を示す。
FIG. 7 shows the character outline data shown in FIG.
Above [linear approximation < 32)]-F contour division (34)
] An example of data processing is shown below.

図において、○は1ブロツクの始点及び終点、△は直線
近似により得られた標本点、・は曲線分割点である。J
、た、※は直線部、無印は曲線部を示づ。
In the figure, ◯ indicates the start and end points of one block, △ indicates sample points obtained by linear approximation, and ◯ indicates curve dividing points. J
, Ta, * indicates a straight part, no mark indicates a curved part.

[各輪郭点の傾ぎ算出(35)] 上記求めた曲線部の輪郭形状をn次多項式(但し、n=
1.2.3)を用いて近似するに際し、該n次多項式は
、2点の座椋値及び傾きが決定すれば一彦的に決定され
る。イこでこの場合は、先ず輪郭上の各輪郭点にC5け
る傾きをめる必要がある。
[Calculating the slope of each contour point (35)] The contour shape of the curved part obtained above is calculated using an n-dimensional polynomial (where n=
When performing approximation using 1.2.3), the n-th degree polynomial is determined in a simple manner once the values and slopes of the two points are determined. In this case, it is first necessary to give each contour point on the contour an inclination of C5.

本発明では、各輪郭点における傾きは、ぞの輪郭点の前
後の輪郭点を所定数だけ抽出し、傾きを算出する輪郭点
と抽出した各輪郭点とを結/Vだ線分の(ぼ1きをそれ
ぞれめ、所望の輪郭点にお番)る傾さを9)出づるJ:
うにした。
In the present invention, the slope at each contour point is determined by extracting a predetermined number of contour points before and after each contour point, and connecting the contour point whose slope is to be calculated and each extracted contour point by a line segment ( 9) Find the slope at the desired contour point.
I did it.

本発明による各輪郭点にa−3りる傾ぎの算出方法を第
8図に従つC説明り゛る。
A method of calculating the slope of a-3 at each contour point according to the present invention will be explained in accordance with FIG.

先り゛、第8図(a)のにうに輪郭−1二の任Q1ブ〔
1ツク1.P+、Pnlの始点P+ (輪郭点Q1)に
お【ノる傾さ1.1をめるには、始点P+の後に(f在
りる輪郭血合任意数だけ抽出し、始点P1と各輪郭点と
を結ぶ線分の傾きをt)出し、各傾きより始点1〕1 
にC5りる傾きtlを後述1−る式より9fjt−Jる
。。
First, the outline of Figure 8 (a) - 12 Q1 block [
1 tsuk 1. To add an inclination of 1.1 to the starting point P+ (contour point Q1) of P+, Pnl, extract an arbitrary number of contours with (f) after the starting point P+, and connect the starting point P1 and each contour point. Calculate the slope of the line segment connecting t), and use the starting point 1]1 from each slope.
The slope tl of C5 can be calculated by 9fjt-J from the formula 1-, which will be described later. .

例え晶、輪郭点を2点抽出して傾きをめる場合は、まヂ
、線分Q1Q2の傾きrnl、線分酊6−の(げ1さ「
T12をめる。
For example, when extracting two contour points and calculating the slope, the slope rnl of the line segment Q1Q2, the slope rnl of the line segment 6-
Set T12.

線分の(triさrTl 、 CJ:、2点の座& (
XI + yl ) +(X2 、 V2 )から、 C求めることができる。尚、C2の場合も同様にしくめ
る。
Line segment (trisa rTl, CJ:, two points & (
C can be found from XI + yl) + (X2, V2). Incidentally, the case of C2 is also concluded in the same manner.

夫々線分の傾きm、、m、、がまると、輪郭点Q1にお
(プる傾き1、は、 によりまる3、尚、終点にC3いても同様にしてめるこ
とができる。
When the slopes m, , m, , of the line segments are completed, the slope 1 of the contour point Q1 is determined by 3.Even if the end point is C3, it can be determined in the same way.

次に、第8図(b)のJ:うに次輪郭点Q2における傾
きtlをめる揚台(ま、 輪9B点Q2の前後に存在づ−る輪郭点を所定数だけ抽
出し、輪郭6aQ2J:り各輪郭点とを結んだ線分の傾
きをぞれぞれめ、輪郭点Q2にC5りる(ぽ1きtlを
める。
Next, in Fig. 8(b), J: a lifting platform that calculates the inclination tl at the sea urchin next contour point Q2. :Find the slope of the line segment connecting each contour point, and add C5 to the contour point Q2 (set tl).

例えば、輪郭点を前後2貞抽出して(σ1きをめる場合
、輪郭点Q2においては前1点しか抽出でさないので、
この場合前後1点を抽出Jることにこのように指定し7
.−数の輪郭点が存在しない場合【よ、指定範囲内で最
大数の輪郭点を抽出して傾きをめるJ:うにする。
For example, when extracting two contour points before and after (σ1), only the front one point is extracted at contour point Q2, so
In this case, specify 7 to extract 1 point before and after.
.. - If there are no contour points, extract the maximum number of contour points within the specified range and smooth the slope.

次に、第8図(C)のように輪郭点Q3にJ3Gプる傾
ぎT3をめる場合、輪郭点Q3においては、111白1
.シ所定数の輪郭点が前後に存在する。j;つて輪郭L
;j Q 3ど各輪郭点とを結ぶ各線分の傾きml。
Next, when adding a slope T3 of J3G to the contour point Q3 as shown in FIG. 8(C), at the contour point Q3, 111 white 1
.. A predetermined number of contour points exist before and after. j; Tsute outline L
;j Q 3. Slope ml of each line segment connecting each contour point.

mz、 m3 、 rT14を人々求め、輪郭点Q3に
おけJ、りめる。、そして、順次輪郭点をすずめながら
、同様に1ノC各輪郭点における傾きを算出していく。
Find mz, m3, rT14, and calculate J at contour point Q3. , and calculate the slope at each contour point of 1 C in the same way while sequentially passing the contour points.

1リンプル点の決定(36)’] 以上のように各輪郭点におりる傾きがまると、次に輸9
1匁十の2点の輪郭点により決定づる近似曲線をめ、該
近似曲線と輪郭との偏位量を各輪郭ノリ、(に1)いて
逐次求める。
1 Ripple Point Determination (36)'] Once the slope at each contour point is equalized as described above, then
An approximate curve determined by two contour points of 1 monme is determined, and the amount of deviation between the approximate curve and the contour is determined one by one for each contour.

ぞし−(、今、問題とする近似曲線区間におt)る各1
1ga位吊73悔’l容誤差以下の場合には、輪郭点を
更に1つ前進ざtIC再び同様の処理を繰り返し、該偏
位IJ号がn′B誤差の範囲内で最長とイfる区間(こ
れを以下、−リーンプル区間という)を決定しながら、
輪郭をリンプル区間毎に分割していく。そして、このリ
ンプル区間によって決定するn次多項式で輪郭が近似さ
れる。
Each 1 of Zoshi-(,t) in the approximation curve section
If the error is less than 1ga, move the contour point forward by one more point, repeat the same process again, and determine if the deviation IJ is the longest within the n'B error range. While determining the interval (hereinafter referred to as the -lean pull interval),
Divide the contour into rimple sections. Then, the contour is approximated by an n-dimensional polynomial determined by this rimple interval.

以下、n次多項式の近似曲線の算出と偏位量の算出方法
について、第9図を用いて説明する。
Hereinafter, the calculation method of the approximate curve of the n-th degree polynomial and the calculation method of the amount of deviation will be explained using FIG. 9.

まず、直線部記憶部70及び曲線部記憶部71に記憶し
た座標値により、近似する区間が直線部か曲線部である
かを判別りる。そして、該区間が直線部であれば、区間
の始点座標と該区間を示す直線式(1次式)を算出し、
後)ホづ−る]−ド化を行なう。
First, it is determined whether the approximate section is a straight section or a curved section, based on the coordinate values stored in the straight section storage section 70 and the curved section storage section 71. Then, if the section is a straight section, calculate the starting point coordinates of the section and a linear equation (linear equation) indicating the section,
After) Convert to a host.

次に、該区間が曲線部である場合について説明づる。Next, a case where the section is a curved section will be explained.

第9図(a)において、5L(Ql’)は着目している
第1番目のサンプル区間の始点であり、該始点SL (
Ql >と4ノンプル候補点S L+1 ((、) n
 )の2点間を1ノンプル候補区間として順次近似曲線
をでいく7.Bは輪郭点QJ 、Cは曲線近似J−る区
間を結/υだ直線92と自交し、且つ、点B(QJ )
を通る直線■て93と近似曲線91との交点、13Δは
輪郭点QJ における輪郭90ど近似曲線91とのX方
向における偏位量、BCは輪郭90ど近似曲線91との
偏位量、BDは輪郭90と近似曲J3iiDIどのX方
向にお(プる偏位Mlである。
In FIG. 9(a), 5L (Ql') is the starting point of the first sample section of interest, and the starting point SL (
Ql > and 4 non-pull candidate points S L+1 ((,) n
7. Sequentially draw an approximate curve between the two points in ) as one non-pull candidate section. B is the contour point QJ, C is the intersection of the curve approximation J-, and intersects with the straight line 92, and the point B (QJ)
13Δ is the deviation amount in the X direction between the contour 90 and the approximate curve 91 at the contour point QJ, BC is the deviation amount between the contour 90 and the approximate curve 91, BD is the deviation Ml in the X direction of the contour 90 and the approximation J3iiDI.

また、1ネ間1.’ Q + 、 Q 2 ]にお【′
Jるn次多項式は一怠に直線と決定り−るので、次区間
[Ql 、Q3]、J、すr)次>項式の近似曲線をめ
る。
Also, 1. ' Q + , Q 2 ] and ['
Since the nth degree polynomial of J is lazily determined to be a straight line, an approximate curve of the next interval [Ql, Q3], J, sr) degree>term is found.

以下、3次曲線の場合を例に説明ザる。既に算出した始
点5c(Ql)及びサンプル候補点Q nの(ず1きt
 L 、 t: lと座標値(XL 、 Vt >、(
Xn、Vn)を下記3次式に代入することにより、該区
間の近似曲線1〈x)がまる。
The following will explain the case of a cubic curve as an example. The already calculated starting point 5c (Ql) and sample candidate point Qn (Z1kit
L, t: l and coordinate values (XL, Vt >, (
By substituting Xn, Vn) into the following cubic equation, an approximate curve 1<x) of the section is obtained.

j’ (x)=yt (bt、(x−xc )ICt、
(x −X L ) 2 十dt (x−XL):1 1)(、−1,。
j' (x)=yt (bt, (x-xc) ICt,
(x - X L ) 2 10 dt (x - XL): 1 1) (, -1,.

以−にのように近似曲線f(×)を決定覆る各係数がま
ると、該近似曲線f (x)と輪郭との偏位量εをめる
After determining the approximate curve f(x) as described above and summing the overlapping coefficients, the amount of deviation ε between the approximate curve f(x) and the contour is calculated.

偏位量εは該区間に存在する各輪郭点QJ (但し、2
≦j≦n−1)において夫々求める。
The amount of deviation ε is determined by each contour point QJ existing in the section (however, 2
≦j≦n−1).

図において、輪郭90と近似曲線91の偏位量ε(=B
C)をめるに際し、本発明では偏位量εを疑似的に算出
するようにし、高速に処理できるようにした。
In the figure, the amount of deviation ε(=B
In calculating C), the present invention calculates the deviation amount ε in a pseudo manner, thereby enabling high-speed processing.

第9図([))は、(a)にお()る輪郭9oと近似曲
線91との誤差部分を拡大したものである。
FIG. 9([)] is an enlarged view of the error portion between the contour 9o and the approximate curve 91 in FIG. 9(a).

図において、線分面は直線92に平行であると仮定し、
線分CΔの傾きmを直線92の傾きどする。そして、輪
郭点B(QJ)において、近似曲線91とのX方向及び
X方向に対づる隔り量εχ 。
In the figure, it is assumed that the line segment plane is parallel to the straight line 92,
Let the slope m of the line segment CΔ be the slope of the straight line 92. At the contour point B (QJ), the distance εχ from the approximate curve 91 in the X direction and in the X direction.

ε〃をめることにより、 所望の偏位量εは、 ″む「■−8び (1mlThlのどき)で近似的にめ
ることができる。
By setting ε〃, the desired deviation amount ε can be approximately determined as follows.

このJ、・うにめた輪郭90と近似的1fi191との
近似的偏イ)°!φεがにF容7/A差の範υ11以内
であれば、次の輪Of+ +:、IQ noをリンプル
候補点として区間を延し、Jス[・−同様にしで、新た
に区間[Q + 、 Q no 1に、1ヌいて近似曲
線をめ、該区間内に存在Jる仝での輪Of+ +:、i
 Q Jについて、偏位量εをJ1′1べる。
This J, the approximate deviation of the contour 90 and the approximate 1fi191) °! If φε is within the range of F7/A difference υ11, extend the section using the next ring Of+ +:, IQ no as the rimple candidate point, and create a new section [Q +, Q no 1, put 1 and fit an approximate curve, and the ring Of+ +:, i
For Q J, increase the deviation amount ε by J1'1.

そして、いずれかの輪郭点でh′1容誤差を越えたなら
ば、1つ前の1プンブル候補点Qnを4ノンプル点S国
どじ、第1番目のリーンプル区間[SL 。
If the h'1 capacity error is exceeded at any contour point, the previous 1-pumple candidate point Qn is changed to 4 non-pull points S country and the first lean-pull section [SL].

8国1が決定する。8 countries and 1 will be decided.

以後、該リンプル点S国を次リンプル区間の始点と17
、前記同様にして、順次サンプル点を決定しくLがらリ
ンプル区間をめていく。
Thereafter, the rimple point country S will be designated as the starting point of the next rimple section.
, In the same manner as described above, the sample points are determined one after another and the ripple interval is determined from L.

このJ、うにして、輪郭は複数のサンプル区間で分N+
11され、各リンプル区間をそれぞれ近似曲線で近似し
ていくことにより輪郭が近似される。
In this way, the contour is divided into multiple sample intervals by N+
11, and the outline is approximated by approximating each rimple section with an approximate curve.

尚、L記説明では、次のυンプル候補区間[(1) +
 、 Q no l内にお4Jる偏位量εがn容誤差を
越えたならば、1つ11うのリーンプル候補点Qηをサ
ンプル点どしてサンプル区間を決定づるようにした。
In addition, in the explanation in L, the following υ sample candidate interval [(1) +
, if the deviation amount ε in Q no l exceeds the n-volume error, one lean-pull candidate point Qη is used as a sample point to determine a sample interval.

しかし、仙の実施例どして、W[容誤差を越えたどき、
その凹点におけるリーンプル候補点をQ。、1を暫定的
に記憶しておき、更に数点先(Q n+z + Q I
l+:1、・・・)までのサンプル候補区間について前
記偏位量εのii’f’価を行くiっていく。
However, in Sen's example, when W [exceeds the tolerance error,
Q is the lean pull candidate point at that concave point. , 1 is temporarily memorized, and several points ahead (Q n+z + Q I
The value ii'f' of the deviation amount ε is incremented by i for the sample candidate section up to (l+:1, . . . ).

イして、所定の数点先に到ってもY[容誤差を越えるに
うなとぎ、前記Qn’E”ノンプル点として、サンプル
区間を決定するようにしてbよい。
Then, even if a predetermined number of points are reached, if the error exceeds the Y[tolerance error, the sample section may be determined as a non-pull point.

勿論この場合、数点先のり゛ンブル候補区間においてr
「容誤差の条件が充足した時は、該候補区間が新たに区
間[Q+ 、Qn ]に更新され、更にそこから4ノ一
ンプル点を前進さ′1!ながら前述の評価処理を繰り返
して実行Jる。このような先読みを実施づることににす
、サンプル区間を更に少なくすることができ、データ圧
縮率が向上づ−る1゜[各輪郭点の傾き再算出(37)
 ] 上記の如く、輪郭が複数のサンプル区間にa3いてそれ
ぞれ3次式の近似曲線で近似されると、該量ナンプル区
間の始点座標と該4ノンプル区間を近似する近似曲線の
次数及び係数を、輪郭データどしくR1:憶りることに
より1[翁6されlこ二]−ドを得ることがでさ−る。
Of course, in this case, r
``When the tolerance condition is satisfied, the candidate section is updated to a new section [Q+, Qn], and from there, the above evaluation process is repeated while moving forward by 4 sample points. By implementing such look-ahead, the sample interval can be further reduced, and the data compression rate can be improved.
] As mentioned above, when the contour is approximated by a cubic approximate curve in a3 in a plurality of sample sections, the starting point coordinates of the quantity sample section and the order and coefficient of the approximate curve approximating the four non-purple sections can be calculated as follows. Contour data R1: By memorizing it, it is possible to obtain 1 [old man 6 and l ko 2] -do.

しかし、前記[各輪郭点の傾き篩用(3!+)’lでめ
た各輪郭点の1ず1きは、その前後所定数の輪郭点どの
傾きの平均値どじたしのであり、実際の(げ1さとは人
ぎ< V4なる場合がある。そこで・・、本発明では、
更に輪郭を忠実に近似するため、各リンプル区間にお(
〕る近似曲線f(x)の−次導関数f’−(x)をめ、
該」ノンプル区間の各輪0ft5ン、口こおいての傾き
を再瓜紳出りるようにした。
However, the ratio of each contour point determined by the above [Inclination of each contour point (3!+)'l is the average value of the slope of a predetermined number of contour points before and after it, and in reality There are cases where (G1 SATO is human < V4. Therefore, in the present invention,
Furthermore, in order to faithfully approximate the contour, (
] Find the -th derivative f'-(x) of the approximate curve f(x),
In the non-pull section, each wheel was set at 0ft5, and the slope at the end of the wheel was made to be more consistent.

[リンプル点の再決定(38)] 1−記1各輪郭点の傾さ再幹出(37)]によるデータ
処理によってめた各輪郭点にd3N′Jる傾きと沙(♂
:舶により、萌jiL4 [す゛ンブルIk【の決定(
36)lど同様にして、重度リーンプル点を決定しなが
らサンプル[区間をめる。このJ:うにしてめた暑ナン
/ル点は、イのサンプル区間において、にり輪ν1;に
忠実な近似曲線f(x)で近似される。
[Redetermination of Rimple Points (38)] 1-Redetermine the slope of each contour point (37)].
:Depending on the ship, MoejiL4 [Summer Ik] decision (
36) In the same manner as above, determine the sample interval while determining the severe lean pull point. This J: point obtained in the above manner is approximated by an approximation curve f(x) that is faithful to Niriwa ν1; in the sample section A.

[]−ド化〈39)コ 1ス土のようにして請求めた直線部及び曲線部にJ3 
LJる人々各ザンブル区間の始点座標、近似曲線f(x
)の係数及び次数等を:I−ド化し、更に各ブロック単
位に編成したブロックデータの集合として記憶Jること
により、任意文字輪郭に忠実な圧縮データを得ることが
できる。
[] - J3 to the straight and curved parts that were claimed like soil.
Coordinates of the starting point of each Zamble section, approximate curve f(x
) are converted into :I-codes and further stored as a set of block data organized in units of blocks, it is possible to obtain compressed data that is faithful to the outline of an arbitrary character.

第10図【よ、Jス上の如き本発明の実施に当って適用
される、任@1つのブ[Jツクデータの好ましいデータ
記憶)A−マツ1〜の一例を示す図である。
FIG. 10 is a diagram illustrating an example of an arbitrary block (preferred data storage of J-block data) A-Matsu 1 to be applied in carrying out the present invention as described above.

図の一ノA−マツ1へにおいて、ブロックヘッダーは、
1ブロツクの終了座標及び1ブロツク中に存在する」ノ
ンプル区間数を記憶し、セグメントへツタ−は、1リ一
ンプル区間の始点のx、Y座標及び近似曲線「〈×)の
次数を記憶し、レグメン1へ情報は、前記次数によりま
る近似曲線f’(x)の各係数を記憶したものである。
In the figure Ichino A-Matsu 1, the block header is:
The end coordinate of one block and the number of "non-pull sections existing in one block" are memorized, and the segment cutter memorizes the x and Y coordinates of the starting point of one re-pulse section and the order of the approximate curve "<x". , the information for legmen 1 stores each coefficient of the approximate curve f'(x) based on the above-mentioned order.

そして、レグメン1〜ヘングーとレグメント情報によっ
て1つのリーンプル区間データが構成されており、更に
、前記Vンプル区間数に応じlcクリーンル区間データ
が順次配列され、全体で1つのブロックデータを構成し
ている。
Then, one lean pull section data is constituted by legmen 1 to hengu and leg information, and furthermore, lc clean pull section data is sequentially arranged according to the number of V pull sections, and the whole constitutes one block data. There is.

[圧縮データの記憶(40) ] −1記ノA−マツ1〜によりTI−ド化された各ブ[l
ツクデータは、後述りる文字輪郭の復元の際に効率良く
復元を行なうlこめ、ブ[1ツクを単イ◇どして、各7
 r:lツクにΔハフる解読処理肋間の良い順に記憶づ
る。
[Storage of compressed data (40)] Each block [l
In order to efficiently restore the character contours described later, you can use the block data by pressing ◇ and ◇ for each block.
The decoding process is performed by ∆ huffing on r:l and is memorized in the order of the spacing.

例えば第11図(a )は、文字1’ AY> 、1に
対して8ノ目ツク〈説明[込合ブ〔1ツクに 1〜20
の番号をイリシた)毎に圧縮データをめlこ場合を承り
For example, in Fig. 11(a), the character 1'AY>, the 8th mark is ticked for 1.
We accept requests for compressed data for each number (indicated by number).

ぞしで、解読に要づる時間の艮いものく例えば、Xノj
 1113に対して各ゾ[1ツクの始点と終J気の距削
のl妄いbの)から順に記憶するのである。第11図(
E])にajいて、1ブ[1ツクの解読に要する時間が
1番良いのは、ブ1]ツク12であり、以下ブ[1ツク
10.ブロック16と続き、ブロック3が一番M4 <
 <rつでいる。従って、最終的にめられる文字輪Of
+圧縮データは、第11図(b)に示すようhブロック
データの集合どして記憶されることにイ「る。
For example, the amount of time it takes to decipher the
For 1113, each part is memorized in order from the starting point of 1st tsuku and the distance of the final J qi distance b). Figure 11 (
E]) aj, the time required to decipher 1 block [1 block is the best is 1] block 12, and the following block [1 block 10. Block 16 follows, and block 3 is the most M4 <
<I'm here. Therefore, the final character wheel Of
The compressed data is stored as a set of h block data as shown in FIG. 11(b).

[分散デニ]−ド(41> ] これまで)ホベてきたことは、文字輪郭のデータ圧縮に
関するものである。次に、以上述べて来たデータ処理方
法によって圧縮した輪郭f−夕を基に、元の輪郭を復元
する方法について説明りる。
[Dispersion Denied] (41>) What has been discussed so far is related to data compression of character contours. Next, a method for restoring the original contour based on the contour f compressed by the data processing method described above will be explained.

この場合、輪郭の復元を高速に朽なうために、1ブロツ
ク角の前記ブロックデータを複数のデ:1−りに順次転
送して処理を行ない、処理の済んだデー1−ダより次の
ブロックデータを処理していくようにした。そこで、前
述した1ブロツクの解読に要りる時間が問題とイする。
In this case, in order to restore the contour quickly, the block data of one block angle is sequentially transferred to multiple data points for processing, and the processed data is transferred to the next data point. Processed block data. Therefore, the time required to decode one block mentioned above becomes a problem.

つまり、1ブ[1ツクの解読に要する時間が艮tJれば
、輪郭を復元1−る際の処理時間も通常長くなる。J:
って、処理時間の長いブロックデータが後の方にくるど
、そのデコーダだ(〕が処理を続()、他のデコーダは
全て処理を終了してしまうという状態が起こり、デコー
ダの使用効率が低下覆る。
In other words, if the time required to decode one block is approximately tJ, then the processing time for restoring the contour usually becomes longer. J:
So, when block data that takes a long time to process comes later, that decoder () continues processing (), and all other decoders finish processing, which reduces the efficiency of decoder usage. Decline cover.

そこで本発明は、Mff述した如く、圧縮データを1ブ
ロツクの解読に要Jる時間の長いものより順に記憶し、
複数のデコーダで処理することでデコーダを効率良く使
用でさ、輪郭を高速に復元できるようにした。
Therefore, the present invention stores compressed data in descending order of the time required to decode one block, as mentioned above.
By processing with multiple decoders, the decoders can be used efficiently and contours can be restored at high speed.

以上、り112図及び第13図を参照して説明りる5゜ 第12図は、本発明におりる輪郭復元を、最適に行なう
ための一実施例を示すブ[1ツク図である。
12 is a block diagram showing an embodiment for optimally carrying out the contour restoration according to the present invention.

1ス1において、120は各ブ[1ツクデータを1ブロ
ツクのM読に葭する時間の長い順に記憶した圧縮データ
記憶部、121はつの1ブ[)ツクデータを後述Jるデ
コーダを選択して転送するセ1ノクタ1.122は別途
入力した所望倍率を記憶部る4fj率記他記憶123は
前記ブ[1ツクデータをイ8率相当の輪郭に復元りるr
)個のデコーダより成るデコーダIIY、1″24は前
記デニ]−ダ群123の内、処理の終了したデコーダを
選択し、解読し請求めた輪郭画素データを後述Jる1文
字記憶部に転送するセ1ノクタ2.125は前記1?レ
クタ2 (124>よりjxられた輪郭f−タを記fl
する1文字記憶部、126は+1ij記1文字記憶部1
25に記憶完了した1文字分の輪郭画素データに基づき
、文字を印字J:たは表示等を行なう出力装置である。
In the 1st block 1, 120 is a compressed data storage unit that stores each block of data in descending order of the time taken to read 1 block of M data, and 121 is a compressed data storage unit that stores each block of data in descending order of the length of time it takes to read 1 block of M data. The SE1 node 1.122 stores the desired magnification that is input separately.
) decoder IIY, 1''24 selects the decoder for which processing has been completed from among the decoder group 123, and transfers the decoded and requested contour pixel data to the one-character storage unit described below. The cell 1 noctor 2.125 describes the contour f-ta obtained by jx from the 1? rector 2 (124>).
1 character storage unit, 126 is +1ij 1 character storage unit 1
This is an output device that prints or displays a character based on the outline pixel data for one character that has been stored in the memory 25.

次に、O」作について説明する。Next, O's work will be explained.

圧縮データ記憶部120より1ブロツクの解読に要する
時間の長い順〈例えば第11図において、ブロック12
.ブロック10.ブロック16・・・の順)にけレクタ
1(121)に転送する。セレクタ1(121>は前記
転送されたブロックデータを、デコーダ群122のデコ
ーダ1より順にデコーダを選択して転送を行なう。ブロ
ックデータの転送が終了したデコーダは前記ブロックデ
ータと4F< *記憶部122に別途記憶した所望イ8
率データに\(ついて、輪郭の復元処理を開始J−る。
From the compressed data storage unit 120, in order of the time required to decode one block (for example, in FIG. 11, block 12
.. Block 10. block 16...) is transferred to the director 1 (121). The selector 1 (121> selects and transfers the transferred block data to decoders in order from decoder 1 of the decoder group 122.The decoder that has finished transferring the block data transfers the transferred block data to the 4F< *storage unit 122 Desired A8 separately memorized in
After reading the ratio data, the contour restoration process begins.

セレクタ2(124>は復元処理の完了し]だデー1−
ダを順次選択し、復元した輪郭画素データを1文字記憶
部125に転送していく。1ブ[1ツク分の復元処理の
完了したデコーダは、セレクタ1(121)に対してブ
ロックデータの転送を要求し、次の1ブ1−1ツク分の
ブロックデータが転送される。
Selector 2 (124> has completed the restoration process) Data 1-
The characters are sequentially selected and the restored outline pixel data is transferred to the single character storage section 125. The decoder that has completed the restoration process for 1 block [1 block] requests the selector 1 (121) to transfer the block data, and the block data for the next 1 block (1-1 block) is transferred.

第13図は第12図に示した各デコーダ群123の処理
状態の例を示すタイミングチャートである。
FIG. 13 is a timing chart showing an example of the processing state of each decoder group 123 shown in FIG. 12.

図において、−「1はセレクタ1(121>から各−f
−7)−タヘブ[1ツクデータを転送づる時間、l−、
,4;L各デニ1−グが解読した輪郭画素データをセ1
ノクタ2(124)を介して1文字記憶部125へ1!
/:送り゛る時間ぐあり、T3は各デ′コーダにお()
るゾ1−1ツクデータの解読処理時間で・djる。jコ
た、−「4は1文字分の処Jj1時間を示す。
In the figure, -'1 is from selector 1 (121> to each -f
-7) - Taheb [Time to transfer one piece of data, l-,
,4;L The contour pixel data decoded by each denigger is se1
1! to the 1 character storage unit 125 via Nokta 2 (124).
/: There is some time to send T3 to each decoder ().
The processing time for decoding the 1-1 piece of data will vary. jkota, - "4 indicates one character's worth of processing Jj1 hour.

’j” −l −’l 1−nへ07179分のブロッ
クデータ/J’転送され処理が開始覆ると、次にn−1
1番目のノ11ツクデータは、処理0、r間の最−す短
かったデT1−り(この場合、デ゛コータ3)へ転送さ
れ、引続き処J(11合行41っていく。
'j' -l -'l 07179 minutes of block data/J' is transferred to 1-n and processing starts.
The first 11 block data is transferred to the shortest data T1 between processes 0 and r (in this case, decoater 3), and continues to process J (11 block 41).

しか61転送づる各ブロックデータは、前述の通りでの
処即口、5問が次第に>、i7<なっていく順番に配列
されているので、第13図に図示の如く各デュータは、
はぼ同前に1文2?分の処理を終了りる。
However, each block of data to be transferred 61 times is arranged in the same order as described above, with the 5 questions gradually becoming >, i7<, so each ductor, as shown in FIG.
1 sentence 2 before Habo Dou? Ends processing for the minute.

従′)で各デ:]−ダ(まけば均等に稼動し、無駄な遊
び11,1間を(トしることなく ’iil及的速やか
に文字データの解読が終了する。
If the decoder 11 and 1 are used, each decoder operates evenly, and the decoding of the character data is completed as quickly as possible without wasting any wasted play.

L輪郭の復元(’12) ] l述の如く、各デコーダより復元された1ブロツクの輪
郭画素データは、1文字記憶部125に逐次記憶しでい
き1文字分の輪郭画素デ゛−夕が完成J−る。そして、
1文字記憶部125に記憶された1文字分の輪郭画素デ
ータを、例えばレーザビームプリンタ、CRT ′Lj
−真植字機或いは表示装置等といった出力装置126に
供給することにより、前記従来技術と同様にして所望の
文字が4(元される。
Restoration of L contour ('12)] As mentioned above, one block of contour pixel data restored by each decoder is sequentially stored in the one character storage section 125, and the contour pixel data for one character is stored one by one in the one character storage section 125. Completed J-ru. and,
The outline pixel data for one character stored in the one character storage unit 125 is stored in a laser beam printer, CRT'Lj, for example.
- By supplying an output device 126, such as a true typesetting machine or a display device, the desired characters are generated in the same manner as in the prior art.

[発明の効果] Jズ上説明して)1ξだ本発明になる文字画像f−夕の
処理力法を、800X800ドツ1〜がら成る明朝体甲
板名文字[あ、1に適用して検証した結果、所望文字画
像に対づるπ1容誤差を1ドツトとじて場合、1.21
%のデータ圧紺i率を七Iることができ 1こ 。
[Effect of the invention] The processing power method of the character image f-Yu according to the present invention was applied to the Mincho body deck name character [A, 1] consisting of 800 x 800 dots 1 to 1 As a result, if the π1 volume error for the desired character image is taken as 1 dot, it is 1.21.
The data pressure rate can be reduced to 7%.

また、上記説明で#、L「あ」を例としてμ2明してき
たが、それ以外にも漢字や文字以外の各種マーク、記号
、線画などの画像についても同様に扱えることは明確で
ある。
Further, in the above explanation, μ2 has been explained using # and L "a" as examples, but it is clear that images of various marks, symbols, line drawings, etc. other than kanji and letters can also be handled in the same way.

以上本発明により、充分に高い圧縮率で文字幅91(の
滑らかさを忠実に記憶部るデータが高速に得られ、史に
復元に際しでは、高品質の文字像を所F/(の倍率で高
速に再生Jることができる文字画像プ゛−タの処理方法
を提供J゛ることかできる。
As described above, according to the present invention, data that faithfully stores the smoothness of character width 91 can be obtained at high speed with a sufficiently high compression ratio, and when restoring to history, high-quality character images can be obtained at a magnification of F/(. It is possible to provide a processing method for a character image printer that can be reproduced at high speed.

【図面の簡単な説明】[Brief explanation of drawings]

第1図、第2図【よ従来の輪郭法データ圧縮を説明りる
図、第3図(ま本発明方法に関係り−るデータ処理(の
(1λ要を示リフ[1−ブ1!−ト、第4図は輪郭をX
を変数どJる1価閏数のブロックに分割した一例を承り
図、第5図は直線近似を説明ザる図、負′1G図は本発
明の直線部と曲線部の識別方法の一実施例を示づブ1]
ツク図、第7図は本発明の識別方法tこ、J、る識別結
果を承り図、第8図は本発明に、」、る各輪郭」気にお
()る傾さ−の締出方法を説明1−る図、919図は本
発明におけるリンプル点の決定り法を説明りる図、第1
0図はブロックデータの記憶ノA−マツ1〜の一例を示
づ′図、第11図は本発明にJ、るブロックデータの記
憶方式を説明づる図、第12図は本発明によるブロック
データの復元を実施した構成の一実施例を示すブロック
図、第13図は第12図の動作を示すタイミングチャー
トである。 1.50.90・・・文字の輪郭 2.51・・・2次元ベク1〜ル 3・・・m次曲線要素 60・・・標本点座標記憶部 61・・・直線部識別ベタ1〜ル艮設定部62・・・曲
線分割点識別角度設定部 63・・・次標本点座標レジスタ 6/1・・・規標本点座標レジスタ 65・・・前標本点座標レジスタ 6G・・・ベクトル長tS田部 67・・・ベタ1〜ル間角度締出部 68・・・ベクトル長比較部 69・・・角度比較部 70・・・直線部記憶部 71・・・曲線部記憶部 72・・・曲線分割点座標記憶部 91・・・n次多項式の近似曲線 120・・1F縮デ一タ記憶部 121・・・セ1ノクタ1 122・・・イ8率記憶部 12C3・・・デコーダJiY ]2/I・・・レレクタ2 125〕・・・1文字記憶部 126・・・出力装置面 第3図 第9図 (α) (b) 第flO図 (0) (b) 第12図
FIGS. 1 and 2 are diagrams explaining the conventional contour method data compression, and FIG. 3 is a diagram showing the essential points of (1λ) for data processing related to the method of the present invention. - Figure 4 shows the outline
Figure 5 is a diagram illustrating linear approximation, and the negative '1G diagram is an implementation of the method for identifying straight and curved parts according to the present invention. Example 1]
Figure 7 is a diagram showing the identification results of the identification method of the present invention, and Figure 8 is a diagram showing the identification method of the present invention. Figure 919 is a diagram explaining the method for determining the rimple point in the present invention.
Fig. 0 shows an example of block data storage A-Matsu 1~, Fig. 11 is a diagram illustrating a block data storage method according to the present invention, and Fig. 12 shows an example of block data storage according to the present invention. FIG. 13 is a timing chart showing the operation of FIG. 12. 1.50.90... Character outline 2.51... Two-dimensional vectors 1 to 3... m-th order curved element 60... Sample point coordinate storage unit 61... Straight line portion identification solid 1 to Line setting section 62...Curve dividing point identification angle setting section 63...Next sample point coordinate register 6/1...Normal sample point coordinate register 65...Previous sample point coordinate register 6G...Vector length tS Tabe 67...Angle closing part 68 between solids 68...Vector length comparison part 69...Angle comparison part 70...Straight part storage part 71...Curved part storage part 72... Curve division point coordinate storage unit 91...N-degree polynomial approximate curve 120...1F reduced data storage unit 121...Se1 nokta 1 122...A8 rate storage unit 12C3...decoder JiY] 2/I...Rector 2 125]...1 character storage unit 126...Output device surface Figure 3 Figure 9 (α) (b) Figure flO (0) (b) Figure 12

Claims (1)

【特許請求の範囲】 (+)、X、V座標十に展開しIc文字画像輪DIXを
特定づるための符号化データを記憶すると共に、該1′
3号化データを解読してもとの文字画像を再生覆るよう
にした文字画像データの処理方法において、前記輪郭を
、×を変数とづる11II11関数のブロックに分割し
て、複数ブロックの集合と4”ると共に、線分λりした
各ブ[lツク毎に、文字画像の輪郭に冶−)て逐次延在
づる多数のベクトルであって、0倚 つ、各ベタ1−ルと前記輪郭との偏位量が所定の1,1
−容誤差以];にt1ンまる範囲内で出来るだ()艮く
設定した多数のべ91〜ルをめ、 これらめた各ベクl〜ルの艮ざが所定の長さより長い部
分は対応する輪郭を直線部と見做して直線の符号化に適
した符号化処理を適用すると共に、前記各ベクトルの長
さが所定の長さより短い部分は対応する一連の輪郭を曲
線部と見做して区分多項式近似により符号化処理を施す
ようにしlこ文字画像データの処理方法。 (2)1輪郭を曲線部と見做して多項式近似J”るに際
し、互いにv4接づる前記求めた各ムク1ヘルの交叉角
に基づいて前記曲線部を適宜複数組のグループにグルー
プ化し、同一グループに属する輪郭毎に独立し−(区分
多項式近似を施ダ−ようにした前記特許請求の範囲第1
項記載の文字画像データの処
[Claims] In addition to storing encoded data for specifying the Ic character image ring DIX by developing it into ten (+), X, and V coordinates, the 1'
In a method of processing character image data in which the original character image is reproduced and overwritten by decoding code 3 data, the contour is divided into blocks of 11II11 functions where x is a variable, and a set of multiple blocks is formed. 4" and a large number of vectors sequentially extending from each block of line segments λ to the outline of the character image; If the amount of deviation from
- The difference between the two vectors is calculated within a range of t1. A series of contours corresponding to a part where the length of each vector is shorter than a predetermined length is regarded as a curved part. A method of processing character image data in which encoding processing is performed using piecewise polynomial approximation. (2) When performing polynomial approximation J'' by regarding one contour as a curved portion, group the curved portion into multiple groups as appropriate based on the intersection angle of each of the obtained Muku 1 hels that touch each other by v4, Claim 1 wherein piecewise polynomial approximation is applied independently for each contour belonging to the same group.
Processing of character image data described in section
JP58183071A 1983-10-03 1983-10-03 Character image data processing method Expired - Lifetime JPH0613212B2 (en)

Priority Applications (5)

Application Number Priority Date Filing Date Title
JP58183071A JPH0613212B2 (en) 1983-10-03 1983-10-03 Character image data processing method
GB08406187A GB2147474B (en) 1983-10-03 1984-03-09 Method of processing character or pictorial image data
KR1019840001671A KR890003318B1 (en) 1983-10-03 1984-03-30 Apparatus for processing character or pictorial image data
US07/057,390 US4771474A (en) 1983-10-03 1987-06-02 Apparatus for processing character or pictorial image data
HK852/88A HK85288A (en) 1983-10-03 1988-10-20 Method of processing character or pictorial image data

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP58183071A JPH0613212B2 (en) 1983-10-03 1983-10-03 Character image data processing method

Publications (2)

Publication Number Publication Date
JPS6075975A true JPS6075975A (en) 1985-04-30
JPH0613212B2 JPH0613212B2 (en) 1994-02-23

Family

ID=16129237

Family Applications (1)

Application Number Title Priority Date Filing Date
JP58183071A Expired - Lifetime JPH0613212B2 (en) 1983-10-03 1983-10-03 Character image data processing method

Country Status (2)

Country Link
JP (1) JPH0613212B2 (en)
KR (1) KR890003318B1 (en)

Cited By (12)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS62144281A (en) * 1985-12-18 1987-06-27 Fujitsu Ltd Automatic graphic vector conversion system
JPS62274472A (en) * 1986-05-23 1987-11-28 Fujitsu Ltd Compression system for pattern data
JPS62296280A (en) * 1986-06-16 1987-12-23 Fujitsu Ltd Restoration and generation system for compressed data
JPH02139675A (en) * 1988-07-12 1990-05-29 Ona Electro Erosion Sa Two-dimensional geometric graphic generation system of prototype by artificial vision
EP0586219A2 (en) * 1992-09-01 1994-03-09 Kazuo Toraichi Apparatus and method for image compression
EP0678833A2 (en) * 1994-04-18 1995-10-25 AT&T Corp. Method and apparatus for handwriting decompression using estimated timing information
EP0806742A1 (en) * 1996-05-08 1997-11-12 Daewoo Electronics Co., Ltd Adaptive contour coding
JP2009175836A (en) * 2008-01-22 2009-08-06 Dainippon Printing Co Ltd Information processing device
JP2009175834A (en) * 2008-01-22 2009-08-06 Dainippon Printing Co Ltd Terminal and its program
JP2009181281A (en) * 2008-01-30 2009-08-13 Dainippon Printing Co Ltd Terminal equipment and its program
JP2009181282A (en) * 2008-01-30 2009-08-13 Dainippon Printing Co Ltd Information processing device
CN110007854A (en) * 2019-02-21 2019-07-12 湖南大唐先一科技有限公司 One kind being based on time series data compression method and system

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8098247B2 (en) 2009-09-24 2012-01-17 Crucs Holdings, Llc Systems and methods for geometric data compression and encryption

Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS54149522A (en) * 1978-05-12 1979-11-22 Eltra Corp Method of encoding character and font memory
JPS58134745A (en) * 1982-02-04 1983-08-11 Photo Composing Mach Mfg Co Ltd Compression system of letter and image data

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS54149522A (en) * 1978-05-12 1979-11-22 Eltra Corp Method of encoding character and font memory
JPS58134745A (en) * 1982-02-04 1983-08-11 Photo Composing Mach Mfg Co Ltd Compression system of letter and image data

Cited By (18)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH0831959B2 (en) * 1985-12-18 1996-03-27 富士通株式会社 Image converter
JPS62144281A (en) * 1985-12-18 1987-06-27 Fujitsu Ltd Automatic graphic vector conversion system
JPS62274472A (en) * 1986-05-23 1987-11-28 Fujitsu Ltd Compression system for pattern data
JPH0419593B2 (en) * 1986-05-23 1992-03-30 Fujitsu Ltd
JPS62296280A (en) * 1986-06-16 1987-12-23 Fujitsu Ltd Restoration and generation system for compressed data
JPH02139675A (en) * 1988-07-12 1990-05-29 Ona Electro Erosion Sa Two-dimensional geometric graphic generation system of prototype by artificial vision
EP0586219A2 (en) * 1992-09-01 1994-03-09 Kazuo Toraichi Apparatus and method for image compression
EP0586219A3 (en) * 1992-09-01 1994-06-08 Kazuo Toraichi Apparatus and method for image compression
US5572605A (en) * 1992-09-01 1996-11-05 Toraichi; Kazuo Apparatus and method for inputting, compressing and outputting characters, illustrations, drawings and logomarks
EP0678833A3 (en) * 1994-04-18 1996-03-27 At & T Corp Method and apparatus for handwriting decompression using estimated timing information.
EP0678833A2 (en) * 1994-04-18 1995-10-25 AT&T Corp. Method and apparatus for handwriting decompression using estimated timing information
EP0806742A1 (en) * 1996-05-08 1997-11-12 Daewoo Electronics Co., Ltd Adaptive contour coding
US5774596A (en) * 1996-05-08 1998-06-30 Daewoo Electronics Co., Ltd. Adaptive contour coding method for encoding a contour image in a video signal
JP2009175836A (en) * 2008-01-22 2009-08-06 Dainippon Printing Co Ltd Information processing device
JP2009175834A (en) * 2008-01-22 2009-08-06 Dainippon Printing Co Ltd Terminal and its program
JP2009181281A (en) * 2008-01-30 2009-08-13 Dainippon Printing Co Ltd Terminal equipment and its program
JP2009181282A (en) * 2008-01-30 2009-08-13 Dainippon Printing Co Ltd Information processing device
CN110007854A (en) * 2019-02-21 2019-07-12 湖南大唐先一科技有限公司 One kind being based on time series data compression method and system

Also Published As

Publication number Publication date
KR890003318B1 (en) 1989-09-16
JPH0613212B2 (en) 1994-02-23
KR850003013A (en) 1985-05-28

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