JPH10126612A - Pixel high speed interpolating system for enlarged picture and image processor - Google Patents
Pixel high speed interpolating system for enlarged picture and image processorInfo
- Publication number
- JPH10126612A JPH10126612A JP8276468A JP27646896A JPH10126612A JP H10126612 A JPH10126612 A JP H10126612A JP 8276468 A JP8276468 A JP 8276468A JP 27646896 A JP27646896 A JP 27646896A JP H10126612 A JPH10126612 A JP H10126612A
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- Prior art keywords
- interpolation
- pixels
- pixel
- power
- bitmap
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- 238000000034 method Methods 0.000 claims description 45
- 230000006870 function Effects 0.000 claims description 2
- 238000010586 diagram Methods 0.000 description 13
- 238000006243 chemical reaction Methods 0.000 description 6
- 230000005540 biological transmission Effects 0.000 description 4
- 239000003086 colorant Substances 0.000 description 2
- 238000003780 insertion Methods 0.000 description 1
- 230000037431 insertion Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T3/00—Geometric image transformations in the plane of the image
- G06T3/40—Scaling of whole images or parts thereof, e.g. expanding or contracting
- G06T3/4007—Scaling of whole images or parts thereof, e.g. expanding or contracting based on interpolation, e.g. bilinear interpolation
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- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Engineering & Computer Science (AREA)
- Theoretical Computer Science (AREA)
- Dot-Matrix Printers And Others (AREA)
- Color, Gradation (AREA)
- Image Processing (AREA)
- Storing Facsimile Image Data (AREA)
- Editing Of Facsimile Originals (AREA)
- Controls And Circuits For Display Device (AREA)
Abstract
Description
【0001】[0001]
【発明の属する技術分野】本発明は画像処理装置に関
し、特に、画像を拡大印刷するためのビットマップ上の
拡大画像の画素高速補間方式に関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to an image processing apparatus, and more particularly, to a high-speed pixel interpolation method of an enlarged image on a bitmap for enlarging and printing an image.
【0002】[0002]
【従来の技術】画像メモリーに読み込まれる入力画像の
サイズは静止画モードで通常640ピクセル×480ピ
クセルであり、これをこのまま直接印刷出力すると印刷
解像度で決まる大きさの出力画像となるが、写真等の場
合は、手札、名刺大といった大きさの画像出力をした
り、A4,A3といった大きさに出力したい場合や、あ
る倍率で画像を縦横に縮小したり、拡大したり、縦方向
に拡大し、横方向には縮小するといった必要も生じる。2. Description of the Related Art The size of an input image read into an image memory is usually 640 pixels × 480 pixels in a still image mode. If this image is directly printed out as it is, an output image having a size determined by the printing resolution is obtained. In the case of, if you want to output an image in the size of a hand or a business card, or output it to a size such as A4 or A3, or reduce or enlarge the image vertically or horizontally at a certain magnification, or enlarge it vertically It is also necessary to reduce the size in the horizontal direction.
【0003】画像を拡大する場合、単に隣り合う原画素
間の距離を拡大するだけでは画像品質を維持可能な解像
度の画像が得られなくなるので原画素の位置(座標)を
拡大倍率に見合った位置に変換してビットマップ上に再
配置した後に原画素間に新たに画素を位置付けて拡大さ
れたビットマップを新たな画素で補間し、拡大された画
像データを得る。In the case of enlarging an image, simply enlarging the distance between adjacent original pixels makes it impossible to obtain an image having a resolution capable of maintaining image quality. Therefore, the position (coordinates) of the original pixels is adjusted to a position corresponding to the enlargement magnification. , And rearranged on the bitmap. Then, new pixels are positioned between the original pixels, and the enlarged bitmap is interpolated with new pixels to obtain enlarged image data.
【0004】この場合、画素の補間法として代表的なも
のに線形補間法と単純補間法がある。 [線形補間法]
線形補間法は図7に示すように隣接する2点A,B間を
線形補間することにより解像度変換を行ない、一定の水
準の解像度を保つ方法である。[0004] In this case, linear interpolation and simple interpolation are typical examples of pixel interpolation methods. [Linear interpolation method]
The linear interpolation method is a method of performing resolution conversion by linearly interpolating between two adjacent points A and B as shown in FIG. 7 to maintain a constant level of resolution.
【0005】図7で、隣接する2点をA(0,Ay)、
B(1,By)とすると、新たに挿入する点P(Px,
Py)は次のように表わすことができる。In FIG. 7, two adjacent points are denoted by A (0, Ay),
Assuming that B (1, By), a newly inserted point P (Px,
Py) can be expressed as follows.
【0006】 Py=(By−Ay)×Px+Ay (1) 但し、Pyを求める点Pの階調、Ayを既知の点Aの階
調(8ビットの正の整数)、Byを既知の点Bの階調
(8ビットの正の整数)、Pxを点Pの点Aからの距離
とする。また、0≦Px≦1である。Py = (By−Ay) × Px + Ay (1) where Py is the gray level of point P for which Py is to be obtained, Ay is the gray level of a known point A (8-bit positive integer), and By is the known point B. (A positive integer of 8 bits), and Px is the distance of point P from point A. Also, 0 ≦ Px ≦ 1.
【0007】これを2次元に拡大して既知の点をA,
B,C,Dとし、挿入する点をRとすると、図8に示す
ように、 Py=(By−Ay)×Px+Ay (2) Qy=(Dy−Cy)×Px+Cy (3) であるから、2点P,Qより新たな点Rを求めると、 Ry=(Qy−Py)×Rx+Py (4) となるから、PyおよびQyに式(2)、(3)を代入
してAy,By,Cy,Dyについて整理すると、点R
の階調は次式(5)で表わすことができる。[0007] This is expanded two-dimensionally and known points are represented by A,
Assuming that B, C, and D are used and R is the insertion point, as shown in FIG. 8, Py = (By−Ay) × Px + Ay (2) Qy = (Dy−Cy) × Px + Cy (3) When a new point R is obtained from the two points P and Q, Ry = (Qy−Py) × Rx + Py (4), so that the equations (2) and (3) are substituted for Py and Qy, and Ay, By, When Cy and Dy are arranged, the point R
Can be expressed by the following equation (5).
【0008】Ry=(1−Rx)×(1−Px)×Ay
+(1−Rx)×Px×By+Rx×(1−Px)×Cy
+Rx×Px×Dy (5) この式(5)が2次元の線形補間の一般式である。Ry = (1-Rx) × (1-Px) × Ay
+ (1-Rx) × Px × By + Rx × (1-Px) × Cy
+ Rx × Px × Dy (5) Equation (5) is a general equation for two-dimensional linear interpolation.
【0009】[単純補間法]単純補間法は図9に示すよ
うに拡大後の原画素A,B,C,Dの位置を求めてお
き、倍率をR,S(共に正の整数)とするとき、X方向
へR−1回原画素をコピーし、X方向へのコピー終了後
Y方向へS−1回原画素をコピーして間隔を埋める方法
である。[Simple interpolation method] In the simple interpolation method, as shown in FIG. 9, the positions of the original pixels A, B, C, and D after enlargement are obtained, and the magnifications are R and S (both are positive integers). In this method, the original pixels are copied in the X direction R-1 times, and after the copying in the X direction is completed, the original pixels are copied S-1 times in the Y direction to fill the interval.
【0010】まず、各原画素の位置を求めて各原画素を
配列させてから、各原画素について当該原画素の右隣り
から順次X方向にR−1個分当該原画素をコピーして埋
めていき、X方向の補間が終了したのちに、当該行をY
方向にS−1行コピーして行間を埋める。次の行の以降
の画素についても上述の動作を繰返すことにより所望の
倍率R×Sで原画素を補間する。First, the positions of the original pixels are obtained and the original pixels are arranged. Then, for each original pixel, R-1 original pixels are copied and filled in the X direction from the right side of the original pixel in order. After the interpolation in the X direction is completed,
S-1 lines are copied in the direction to fill the space between lines. The above operation is repeated for the subsequent pixels in the next row to interpolate the original pixels at a desired magnification R × S.
【0011】図9は単純補間の説明図であり、倍率R=
5,S=4として説明する。FIG. 9 is an explanatory diagram of the simple interpolation.
5 and S = 4.
【0012】図9(a)に示すように原点を原画素Aと
し、隣り合っている原画素A(0,0)、B(1,
0)、C(0,1)、D(1,1)からなる画像をまず
X方向に5倍,Y方向に4倍に拡大すると、拡大後の原
画素A,B,C,Dの位置はA(0,0)、B(5,
0)、C(0,4)、D(5,4)となる(図9
(b))。As shown in FIG. 9A, the origin is defined as an original pixel A, and adjacent original pixels A (0, 0) and B (1,
0), C (0,1), and D (1,1) are first enlarged 5 times in the X direction and 4 times in the Y direction, and the positions of the original pixels A, B, C, and D after the enlargement are obtained. Are A (0,0), B (5,
0), C (0,4) and D (5,4) (FIG. 9)
(B)).
【0013】そこで、X方向に5−1=4回だけ原画素
A,B,C,Dをコピーして間隔を埋め、X方向のコピ
ーが終了したならY方向に4−1=3回だけ行をコピー
する。この動作により、図9(b)に示すように5×4
倍に拡大された画像がビットマップ上に形成される。Therefore, the original pixels A, B, C and D are copied 5-1 = 4 times in the X direction to fill the interval, and when copying in the X direction is completed, 4-1 = 3 times in the Y direction. Copy a line. By this operation, as shown in FIG.
A double-magnified image is formed on the bitmap.
【0014】[0014]
【発明が解決しようとする課題】上記線形補間法では2
点間の点の階調を求めることができ、拡大画像の解像度
をある水準に保つことが可能であることから画像品質が
他の方法と比較してよいという利点があるが、コンピュ
ータを用いて補間演算をする際、計算式のRx、Pxの
値がそれぞれ1/2,1/4,1/8,…という値(倍
率で2倍,4倍,8倍というように2の累乗倍)となる
場合にはシフト演算で計算結果が得られるので比較的高
速に算出できるが、それ以外の倍数の場合、例えば、5
倍、6倍、7倍、9倍、10倍、…といった倍率になる
と複雑な割算が必要になり、処理に長時間を要するとい
った問題点があった。In the above linear interpolation method, 2
Since the gradation of points between points can be obtained and the resolution of the enlarged image can be kept at a certain level, there is an advantage that the image quality can be compared with other methods. When performing the interpolation operation, the values of Rx and Px in the calculation formula are values of 1/2, 1/4, 1/8, ..., respectively (powers of 2 such as 2 times, 4 times, 8 times, etc.) In this case, the calculation result can be obtained by the shift operation, so that the calculation can be performed at a relatively high speed.
If the magnification is double, six times, seven times, nine times, ten times,..., Complicated division is required, and there is a problem that processing takes a long time.
【0015】また、上記単純補間法は他の補間方法と比
べて最も早いが、階調が調整されるわけでは無く単純に
コピーするだけであることから、画像品質が粗く、拡大
率が大きいほど拡大画像の品質が急速に低下するという
欠点があり、出力装置の解像度によってはその拡大の程
度に限度があるという問題点があった。The simple interpolation method is the fastest in comparison with other interpolation methods. However, since the gradation is not adjusted and only copying is performed, the lower the image quality and the larger the enlargement ratio, the better. There is a disadvantage that the quality of the enlarged image is rapidly reduced, and there is a problem that the degree of enlargement is limited depending on the resolution of the output device.
【0016】本発明は、拡大画像の解像度をある水準以
上に保って画像品質を安定させると共に、拡大倍率に拘
らず高速で補間処理が可能な拡大画像の高速画素補間方
式および本方式を用いた画像処理装置の提供を目的とす
る。The present invention uses a high-speed pixel interpolation method for an enlarged image, which can stabilize the image quality by maintaining the resolution of the enlarged image at a certain level or more, and can perform interpolation processing at a high speed regardless of the magnification, and the present method. It is intended to provide an image processing device.
【0017】[0017]
【課題を解決するための手段】上記の目的を達成するた
めに本発明の拡大画像の画素高速補間方式は、m×nの
ビットマップに展開された原画素をX方向にR倍,Y方
向にS倍拡大したビットマップの拡大画像の補間方式で
あって、R−αU≧0,S−αV≧0となる2の累乗数
U,Vが存在する場合には隣り合う画素同士で、2から
Uまでの累乗値の逆数でX方向に、2からVまでの2の
累乗値の逆数でY方向に線形補間を繰返して新たな画素
をそれぞれ決定し、これら線形補間により補間できない
ビットマップ上の部分について原画素および上記線形補
間により得た画素を用いて単純補間することを特徴とす
る。また、実施の形態では、2の累乗値U,Vの係数α
が2または4であることであることが望ましい。In order to achieve the above object, a high-speed pixel interpolation method for an enlarged image according to the present invention uses an original pixel developed into an m × n bit map by R times in the X direction and Y directions. Is an interpolation method of an enlarged image of a bitmap enlarged by S times, and when there are powers of two U and V satisfying R-αU ≧ 0 and S-αV ≧ 0, two adjacent pixels are used. The linear interpolation is repeated in the X direction in the X direction with the reciprocal of the power from 2 to U in the Y direction with the reciprocal of the power of 2 from 2 to V, and a new pixel is determined. Is simply interpolated using the original pixels and the pixels obtained by the linear interpolation. In the embodiment, the coefficient α of the power of two U, V
Is preferably 2 or 4.
【0018】また、本発明の画像処理装置は、制御部、
画像メモリー、プログラム格納部、およびプリンタへの
データ送信手段を備え、メモリー上に展開されたm×n
のビットマップを更にX方向にR倍,Y方向にS倍拡大
するビットマップ拡大手段と、RーαU≧0,SーαV
≧0となる2の累乗数Uおよび/またはVが存在する場
合に、2からU,Vまでの2の累乗値の逆数列を得る補
間倍数算出手段と、累乗数Uが存在する場合には隣り合
う画素同士で2からUまで2の累乗値の逆数でX方向に
線形補間を繰返し、累乗数Vが存在する場合には隣り合
う画素同士で2からVまでの2の累乗値の逆数でY方向
に線形補間を繰返して新たな画素をそれぞれ決定してビ
ットマップに位置付ける線形補間手段と、原画素および
線形補間手段により得た補間画素のそれぞれについてX
方向およびY方向に隣り合う画素との間に上記線形補間
手段では補間されなかったビットマップ部分が存在する
場合に、当該補間されなかった部分を上記それぞれの画
素で単純補間する単純補間手段と、からなる画素高速補
間手段を有することを特徴とする。また、望ましい実施
の形態では、2の累乗値U,Vの係数αが2または4で
あることが望ましい。The image processing apparatus according to the present invention further comprises a control unit,
An image memory, a program storage unit, and a data transmission unit for transmitting data to a printer;
Bitmap enlarging means for further enlarging the bitmap of R in the X direction by R times and in the Y direction by S times, R-αU ≧ 0, S-αV
An interpolation multiple calculating means for obtaining a reciprocal sequence of powers of 2 from 2 to U and V when there are powers of 2 U and / or V satisfying ≧ 0; Linear interpolation is repeated between adjacent pixels in the X direction from 2 to U using the reciprocal of the power of 2 and, if a power V exists, the adjacent pixels are used as the reciprocal of the power of 2 from 2 to V in the adjacent pixels. Linear interpolation is repeated in the Y direction to determine a new pixel, and a new pixel is positioned in the bit map. X is calculated for each of the original pixel and the interpolation pixel obtained by the linear interpolation.
When there is a bitmap portion not interpolated by the linear interpolation means between pixels adjacent in the direction and the Y direction, simple interpolation means for simply interpolating the non-interpolated portion with the respective pixels, And a pixel high-speed interpolation means. In a preferred embodiment, the coefficient α of the power of two U, V is preferably 2 or 4.
【0019】[0019]
【発明の実施の形態】図2は本発明の拡大画像の高速画
素補間方式を適用可能な画像処理装置の一例である。FIG. 2 is an example of an image processing apparatus to which a high-speed pixel interpolation method for an enlarged image according to the present invention can be applied.
【0020】図2の画像処理装置100は、装置全体を
制御しプログラム格納部3に格納されている画像処理用
の各手段により画像処理を実行する制御部1、画像デー
タおよび必要なデータ等を記憶するメモリー2、オペレ
ーティングシステム(以下、OS)、画像処理アプリケ
ーションプログラム、プリンタドライバ等の印刷用色変
換処理用プログラムおよび本発明の画素高速補間処理プ
ログラムを格納するPROM等のROM或いは他の磁気
媒体からなるプログラム格納部3、画像データおよびそ
の他のデータやプログラム等を格納するFDや磁気ディ
スク等の格納装置4、ディスプレイ等からなる表示装置
5、入力装置6および印刷用処理を施した画像データを
プリンタに送信する送信手段7を有している。The image processing apparatus 100 shown in FIG. 2 controls the entire apparatus and executes image processing by means of image processing stored in a program storage unit 3. The control unit 1 stores image data and necessary data. A memory 2 for storing, an operating system (hereinafter referred to as OS), an image processing application program, a printing color conversion processing program such as a printer driver, and a ROM such as a PROM or another magnetic medium for storing a pixel high-speed interpolation processing program of the present invention. A storage device 4 such as an FD or a magnetic disk for storing image data and other data and programs, a display device 5 such as a display, an input device 6, and image data subjected to printing processing. It has transmission means 7 for transmitting to the printer.
【0021】図1は画素高速補間手段10の構成を示す
ブロック図であり、図1(a)は他のプログラムとの関
係を示し、図1(b)は画素高速補間手段10の構成を
示す。FIG. 1 is a block diagram showing the structure of the pixel high-speed interpolation means 10, FIG. 1A shows the relationship with other programs, and FIG. .
【0022】画素高速補間手段10は、OS20や画像
処理アプリケーションプログラム30や、印刷用色変換
処理を行なうプリンタドライバ40のほか、サポート用
プログラムと共にプログラム格納部3に格納されてい
る。The high-speed pixel interpolation means 10 is stored in the program storage unit 3 together with the OS 20, the image processing application program 30, the printer driver 40 for performing the color conversion processing for printing, and the support program.
【0023】OS20は、画像処理装置100による画
像処理機能を実現させるための操作や画面表示制御等の
制御手順を制御部に与えると共に、プログラム格納部3
からその実行に必要なアプリケーションプログラム30
やプリンタドライバ40,画素高速補間手段10等のプ
ログラムを取り出して制御部1による実行および制御を
行なう(実施例参照)。The OS 20 gives the control unit a control procedure such as an operation for realizing the image processing function of the image processing apparatus 100 and a screen display control.
From the application program 30 necessary for its execution
And the programs of the printer driver 40, the pixel high-speed interpolation means 10, etc., are taken out and executed and controlled by the control unit 1 (see the embodiment).
【0024】画素高速補間手段10は、アプリケーショ
ンプログラム30からの画像位置情報、拡大倍率等およ
び解像度等の情報により、与えられた画像をその拡大倍
率で拡大してメモリー2上にビットマップとして展開し
てから拡大された画像に画素を補間する。The pixel high-speed interpolation means 10 enlarges a given image at the enlargement magnification and develops it as a bit map on the memory 2 based on image position information, enlargement magnification and the like, and resolution and the like from the application program 30. And then interpolate the pixels into the enlarged image.
【0025】この場合、一定の条件下で線形補間を行な
うことにより解像度変換を行ない、条件以外の部分につ
いては拡大画像の原画素および線形補間された画素で単
純補間(画素の水増し)を行なって、補間された画像デ
ータ(ビットマップ)をプリンタドライバ40に引渡
す。In this case, resolution conversion is performed by performing linear interpolation under a certain condition, and simple interpolation (padding of pixels) is performed by using original pixels of the enlarged image and linearly interpolated pixels for portions other than the conditions. Then, the interpolated image data (bitmap) is delivered to the printer driver 40.
【0026】ここで、線形補間は図7,8の説明で述べ
た線形補間法により、単純補間は図9の説明で述べた単
純補間法による。Here, the linear interpolation is based on the linear interpolation method described in the description of FIGS. 7 and 8, and the simple interpolation is based on the simple interpolation method described in the description of FIG.
【0027】プリンタドライバ40は、ラスタライザ,
色変換モジュールおよびハーフトーンモジュールを描画
に必要な2値データを得るための基本的手段として備え
ており、ラスタライザで補間された画像データ(ビット
マップ)をR(赤),G(緑),B(青)の3原色に変
換し、それぞれの色毎にラスタ変換されたRGB多階調
(例えば、256階調)ビットイメージデータとしてメ
モリー2の所定の作業領域に展開し、色変換モジュール
により、ラスタライザラスタ変換されたRGB多階調ビ
ットイメージデータに色変換処理を施し、印刷用のCM
YK階調ビットイメージデータに変換する。The printer driver 40 includes a rasterizer,
A color conversion module and a halftone module are provided as basic means for obtaining binary data required for drawing, and image data (bitmap) interpolated by a rasterizer is converted into R (red), G (green), B The image data is converted into three primary colors (blue), rasterized for each color, and developed into a predetermined work area of the memory 2 as RGB multi-gradation (for example, 256 gradations) bit image data. Rasterizer Performs a color conversion process on the raster-converted RGB multi-tone bit image data, and outputs a CM for printing.
It is converted to YK gradation bit image data.
【0028】次に、ハーフトーンモジュールでCMYK
階調ビットイメージデータを濃淡インクテーブルによっ
て濃淡各々のデータに振分け、ハーフトーン処理を施し
て色毎にビットマップ上の濃・淡色の配分若しくは配置
が決定し、それぞれ2値のビットマップを作成する。ハ
ーフトーン処理が行なわれると処理結果はメモリー2か
ら順次取り出されて、送信手段7を介してプリンタに送
信される。Next, CMYK is performed by the halftone module.
The grayscale bit image data is distributed to each of the grayscale data by the grayscale ink table, halftone processing is performed, and the distribution or arrangement of the dark and light colors on the bitmap is determined for each color, and a binary bitmap is created for each color. . When the halftone processing is performed, the processing results are sequentially taken out of the memory 2 and transmitted to the printer via the transmission means 7.
【0029】画素高速補間手段10は、図1(b)に示
すようにビットマップ拡大手段11,補間倍数算出手段
12,線形補間手段13および単純補間手段14を備え
ている。 ビットマップ拡大手段11は図3(a)に示
すようなm×nのビットマップ上の画像を所与の倍率
R,Sで図3(b)に示すようにX方向にR倍,Y方向
にS倍拡大してメモリー2の所定の領域に展開する。As shown in FIG. 1B, the pixel high-speed interpolation means 10 includes a bitmap enlargement means 11, an interpolation multiple calculation means 12, a linear interpolation means 13, and a simple interpolation means 14. The bitmap enlarging means 11 converts the image on the mxn bitmap as shown in FIG. 3 (a) at given magnifications R and S by R times in the X direction and Y directions as shown in FIG. 3 (b). Is expanded by a factor of S to a predetermined area of the memory 2.
【0030】図3はビットマップ拡大手段の説明図であ
り、説明上R=3,S=5とし、図3(a)の原画素
A,B,C,Dを例とする。FIG. 3 is an explanatory diagram of the bitmap enlarging means. For the sake of explanation, it is assumed that R = 3, S = 5, and the original pixels A, B, C, D in FIG.
【0031】図3(a)で原画素A,B,C,Dのビッ
トマップ31上の位置は(1,1)、(2,1)、
(1,2)、(2,2)であり、拡大されたビットマッ
プ32上で 原画素を展開すると原画素以外の部分(線
分A−C−D−B−Aで囲まれる部分)は白画素(或い
は黒画素)となり、画像の解像度が低下する。In FIG. 3A, the positions of the original pixels A, B, C, and D on the bitmap 31 are (1, 1), (2, 1),
(1, 2) and (2, 2), and when the original pixels are developed on the enlarged bitmap 32, the parts other than the original pixels (the parts surrounded by the line segment ACDBA) are The pixels become white pixels (or black pixels), and the resolution of the image is reduced.
【0032】補間倍数算出手段12は本発明の特徴的構
成であり、線形補間と単純補間の領域を決定するための
倍数を求める。なお、倍数が決定できない場合には単純
補間手段14による単純補間を行なう。 また、線形補
間手段13は図7,8の説明で述べた線形補間法により
線形補間を行ない、単純補間手段14は図9の説明で述
べたような画素の水増しにより単純補間を行なう。The interpolation multiple calculation means 12 is a characteristic configuration of the present invention, and obtains a multiple for determining areas for linear interpolation and simple interpolation. If the multiple cannot be determined, simple interpolation by the simple interpolation means 14 is performed. The linear interpolation means 13 performs linear interpolation by the linear interpolation method described in FIGS. 7 and 8, and the simple interpolation means 14 performs simple interpolation by inflating pixels as described in FIG.
【0033】<実施の形態1>図4は補間倍数算出手段
12,線形補間手段13および単純補間手段14の説明
図であり、説明上、線分(1次元)を例としているが、
平面(2次元)でも同様である。なお、図4(a)はm
×nのビップマップ上の隣接する画素A,Bを示し、図
4(b)は16×16のビップマップ上の隣り合う画素
A,Bを用いた補間処理を示し、図4(c)は11×1
1のビップマップ上の隣り合う画素A,Bを用いた補間
処理を示す。<Embodiment 1> FIG. 4 is an explanatory diagram of an interpolation multiple calculating means 12, a linear interpolating means 13, and a simple interpolating means 14. For the sake of explanation, a line segment (one-dimensional) is taken as an example.
The same applies to a plane (two-dimensional). FIG. 4A shows m
FIG. 4B shows an interpolation process using adjacent pixels A and B on a 16 × 16 bip map, and FIG. 4C shows an interpolation process using adjacent pixels A and B on a 16 × 16 bip map. 11x1
1 shows an interpolation process using adjacent pixels A and B on one bitmap.
【0034】いま、アプリケーションプログラム30か
ら16×16倍の拡大指令があった場合について考える
と、図4(b)に示すようにまず1/2の点を求め、次
に各1/4の点を求め、更に、各1/8の点を求めるこ
とができるので線形補間手段13ででシフト計算を行な
うことにより、新たな画素3,5,7,9,11,1
3,15の補間ができ、他の新画素2,4,6,8,1
0,12,14,16については単純補間をすること
で、短時間で画素A,B以外の点2〜16について全て
新たな画素で補間ができる。Now, considering a case where a 16 × 16 magnification command is issued from the application program 30, first, as shown in FIG. 4B, 1 / points are obtained, and then 1 / points are obtained. Can be obtained, and further, 1/8 points can be obtained. By performing shift calculation by the linear interpolation means 13, new pixels 3, 5, 7, 9, 11, 1
3,15 can be interpolated and other new pixels 2,4,6,8,1
By performing simple interpolation on 0, 12, 14, and 16, all the points 2 to 16 other than the pixels A and B can be interpolated with new pixels in a short time.
【0035】上記方法で、拡大ビットマップR×Sにつ
いて値1/2,1/4,1/8,…を得るためには、拡
大倍率をR,S、2の累乗値をU,Vとするとき、X方
向についてはR−2U≧0、Y方向についてはS−2U
≧0となるU,Vを求め、X方向については2からUま
での2の累乗値列を得て、それらの逆数を求めればよ
い。最大の2の累乗数(図4(b)の例では8)を求め
れば2の累乗数列2,4,8およびその逆数は容易に得
ることができる(計算で求めてもよいし、対応テーブル
を登録しておいてもよい)。In order to obtain the values 1/2, 1/4, 1/8,... For the enlarged bitmap R × S by the above method, the enlargement magnification is R, S, and the power of 2 is U, V. R-2U ≧ 0 in the X direction and S-2U in the Y direction
U and V satisfying ≧ 0 are obtained, and in the X direction, a sequence of powers of 2 from 2 to U may be obtained, and their reciprocals may be obtained. If the maximum power of 2 (8 in the example of FIG. 4B) is obtained, the power of 2 series 2, 4, 8 and the reciprocal thereof can be easily obtained (may be obtained by calculation or the correspondence table). May be registered).
【0036】次に、11×11倍の場合については、全
ての点を線形補間法で補間すると複雑な計算を要し長時
間を要する。そこで、図4(c)に示すように拡大倍数
11に最も近い2の累乗数の最大値を求めると、11−
2U≧0からU=4であるから、その範囲の2の累乗数
列2,4を得て点1〜9の間について1/2,1/4で
線形補間手段13による線形補間処理を行ない、それ以
外の部分については単純補間手段14による補間処理
(画素水増し)を行なう。なお画素P(点9)について
は、画素A,Bの線形補間処理によって補間している。Next, in the case of 11.times.11 times, if all points are interpolated by the linear interpolation method, a complicated calculation is required and a long time is required. Therefore, as shown in FIG. 4C, when the maximum value of the power of 2 closest to the magnification 11 is obtained,
Since 2U ≧ 0 to U = 4, a sequence of powers 2 and 4 of 2 in the range is obtained, and linear interpolation processing by the linear interpolation means 13 is performed between points 1 to 9 at 2 , and 4. The other parts are subjected to interpolation processing (pixel inflating) by the simple interpolation means 14. Note that the pixel P (point 9) is interpolated by the linear interpolation processing of the pixels A and B.
【0037】次に、残った点10,11について単純補
間手段14で画素B方向(X方向)に点9の画素をコピ
ーする。Next, for the remaining points 10 and 11, the simple interpolation means 14 copies the pixel at point 9 in the pixel B direction (X direction).
【0038】上記説明で明らかなように、R−2U=0
の場合でも単純補間が行なわれる。As is apparent from the above description, R-2U = 0
In this case, simple interpolation is performed.
【0039】上記説明ではX方向についてのみ述べた
が、Y方向についてもX方向の補間で得た画素を原画素
とみなしてX方向の場合と同様にして補間処理を行なう
ことができる。なお、Y方向の補間処理を先に行ない、
X方向の補間処理を後に行なうように構成することもで
きる。Although only the X direction has been described in the above description, the interpolation process can be performed in the Y direction in the same manner as in the X direction, by regarding the pixels obtained by the interpolation in the X direction as the original pixels. Note that the interpolation process in the Y direction is performed first,
The interpolation processing in the X direction may be performed later.
【0040】<実施の形態2>図4の場合は、線形補間
によりできるだけ多数の点を補間し、単純補間による補
間をできるだけ少なくする実施の形態である。<Embodiment 2> FIG. 4 shows an embodiment in which as many points as possible are interpolated by linear interpolation and interpolation by simple interpolation is reduced as much as possible.
【0041】しかし、処理速度を向上させるためには線
形補間の回数を減らし単純補間の回数を増すことが望ま
しい。However, in order to improve the processing speed, it is desirable to reduce the number of linear interpolations and increase the number of simple interpolations.
【0042】図5は線形補間の回数を減少させ、画素の
間を単純補間する場合の補間倍数算出手段12,線形補
間手段13および単純補間手段14の説明図であり、説
明上、線分(1次元)を例としているが、平面(2次
元)でも同様である。なお、図5(a)はm×nのビッ
プマップ上の隣接する画素A,Bを示し、図5(b)は
16×16のビップマップ上の隣り合う画素A,Bを用
いた補間処理を示し、図5(c)は11×11のビップ
マップ上の隣り合う画素A,Bを用いた補間処理を示
す。FIG. 5 is an explanatory diagram of the interpolation multiple calculating means 12, the linear interpolating means 13 and the simple interpolating means 14 when the number of linear interpolations is reduced and simple interpolation is performed between pixels. Although (one-dimensional) is taken as an example, the same applies to a plane (two-dimensional). FIG. 5A shows adjacent pixels A and B on an m × n bipmap, and FIG. 5B shows an interpolation process using adjacent pixels A and B on a 16 × 16 bipmap. FIG. 5C shows an interpolation process using adjacent pixels A and B on an 11 × 11 VIP map.
【0043】いま、アプリケーションプログラム40か
ら16×16倍の拡大指令があった場合について考える
と、図4(b)に示すようにまず1/2の点を求め、次
に各1/4の点を求め、更に、各1/8の点を求めるこ
とができるが、このようにすると線形補間の回数(1+
2+4=7回)が多く、処理時間が増すので、本実施形
態では、1/8の点を求めることを省略する。これによ
り線形補間の処理回数を減らすことができる(1+2=
3回)。Now, assuming that a 16 × 16 magnification command is issued from the application program 40, first, as shown in FIG. 4B, の points are obtained, and then 各 points are obtained. , And 1/8 of each point can be obtained. In this case, the number of linear interpolations (1+
(2 + 4 = 7 times), which increases the processing time. Therefore, in the present embodiment, the calculation of the 1/8 point is omitted. Thereby, the number of times of linear interpolation processing can be reduced (1 + 2 =
3 times).
【0044】このために、補間倍数算出手段12により
R−4U≧0となる2の累乗値の最大値を求める。具体
例として、図4(b)の例では最大の2の累乗値は8で
あるが、本実施形態では16−4U≧0からU=4を得
て2の累乗値の最大値として用いる。For this purpose, the maximum value of the power of 2 that satisfies R−4U ≧ 0 is obtained by the interpolation multiple calculating means 12. As a specific example, in the example of FIG. 4B, the maximum power of 2 is 8, but in the present embodiment, U = 4 is obtained from 16-4U ≧ 0 and used as the maximum value of the power of 2.
【0045】これにより、X方向の2の累乗数列は2,
4となり、線形補間手段13は隣り合う画素A,B間で
1/2,1/4の線形補間処理を行なって補間画素を求
め、画素A,Bと線形補間で補間される画素以外につい
ては単純補間手段14による補間処理を行なうことによ
り解像度の確保と補間時間の高速化が実現できる。Thus, the power series of 2 in the X direction is 2,
4 and the linear interpolation means 13 obtains an interpolated pixel by performing 2 , and 4 linear interpolation processing between adjacent pixels A and B, and obtains pixels other than the pixels A and B which are interpolated by linear interpolation. By performing the interpolation processing by the simple interpolation means 14, it is possible to secure the resolution and to speed up the interpolation time.
【0046】図5(b)で矢印はその間を単純補間処理
することを意味する。例えば、点2,3,4については
画素Aをコピーし、点6,7,8の画素については画素
5をコピーすることを示す。In FIG. 5B, an arrow means that a simple interpolation process is performed between them. For example, it is indicated that the pixel A is copied at the points 2, 3, and 4, and the pixel 5 is copied at the points 6, 7, and 8.
【0047】次に、11×11倍の場合についても図4
(c)の場合と同様であり、図5(c)に示すように、
補間倍数算出手段12で先ず11−4U≧0から拡大倍
数11に最も近い2の累乗数の最大値2を求め、その範
囲の2の累乗数列2を得て図4(c)の点1〜9の間に
ついて1/2で線形補間手段13による線形補間処理を
行なって画素5を補間し、それ以外の画素(2,3,
4,6,7,8)については単純補間手段14による補
間処理を行なうことにより解像度の確保と補間時間の高
速化が実現できる。Next, FIG.
This is similar to the case of FIG. 5C, and as shown in FIG.
First, the interpolation multiplier calculating unit 12 obtains the maximum value 2 of the power of 2 closest to the magnification 11 from 11-4U ≧ 0, obtains a power-of-two sequence 2 in the range, and obtains points 1 to 1 in FIG. The pixel 5 is interpolated by performing the linear interpolation processing by the linear interpolation means 13 by に つ い て in the interval of 9 and the other pixels (2, 3,
For (4, 6, 7, 8), the interpolation processing by the simple interpolation means 14 can be performed to secure the resolution and to speed up the interpolation time.
【0048】また、本実施形態では補間倍数算出手段1
2でR−4U≧0として拡大倍数に最も近い2の累乗数
の最大値を求め、次に、それより小さい2の累乗数の最
大値を求めたが、これに限られず、R−8U≧0,R−
16U≧0としてこの式を満足する2の累乗値を求める
ように構成する事もできる。ここで、どこまで2の累乗
数列の最大値の値を変更できるか、即ち、線形補間手段
による線形補間処理の回数を減らせるかは、単純補間を
繰返す範囲をどこまで拡大できるかということにかかわ
り、それは装置全体の解像度によって規定される。単純
補間の繰り返しが3〜4程度の場合が本実施形態に相当
する。In this embodiment, the interpolation multiple calculating means 1
2, the maximum value of the power of 2 closest to the magnification is calculated as R-4U ≧ 0, and then the maximum value of the power of 2 smaller than that is obtained. However, the present invention is not limited to this, and R-8U ≧ 0, R-
It is also possible to adopt a configuration in which 16U ≧ 0 and a power-of-two value that satisfies this expression is obtained. Here, how far the maximum value of the power-of-two sequence can be changed, that is, whether the number of times of linear interpolation processing by the linear interpolation means can be reduced depends on how far the range in which simple interpolation can be repeated can be expanded. It is defined by the overall device resolution. The case where the repetition of the simple interpolation is about 3 to 4 corresponds to the present embodiment.
【0049】上記説明ではX方向についてのみ述べた
が、Y方向についてもX方向の補間で得た画素を原画素
とみなしてX方向の場合と同様にして補間処理を行なう
ことができる。なお、Y方向の補間処理を先に行ない、
X方向の補間処理を後に行なうように構成することもで
きる。Although only the X direction has been described in the above description, the interpolation process can be performed in the Y direction in the same manner as in the X direction, by regarding pixels obtained by interpolation in the X direction as original pixels. Note that the interpolation process in the Y direction is performed first,
The interpolation processing in the X direction may be performed later.
【0050】更に、実施の形態1,2では補間倍数算出
手段12を計算手段(プログラム)として説明したがそ
れに限られず、入力装置6から入力するよう構成しても
よい。Further, in the first and second embodiments, the interpolation multiple calculating means 12 is described as a calculating means (program). However, the present invention is not limited to this.
【0051】以上本発明の一実施例について説明した
が、本発明は上記実施例に限定されるものではなく、種
々の変形実施が可能であることはいうまでもない。Although one embodiment of the present invention has been described above, the present invention is not limited to the above embodiment, and it goes without saying that various modifications can be made.
【0052】[0052]
【実施例】図6は高速補間処理の一実施例を示す図であ
り、上述した実施形態1の方法、すなわち、R−4U≧
0,S−4V≧0を満足させる2累乗値の最大値を拡大
倍数8×8について計算し、線形補間で2倍、単純補間
で4倍して、計8倍の拡大率を得た例である。FIG. 6 is a diagram showing an example of the high-speed interpolation processing. The method of the first embodiment, that is, R-4U ≧
Example in which the maximum value of the power of two that satisfies 0, S−4V ≧ 0 is calculated for an enlargement factor of 8 × 8, and is doubled by linear interpolation and quadrupled by simple interpolation to obtain a total magnification of eight times. It is.
【0053】図6でA,B,C,Dは原画素であり、原
画素Aに着目すると当初1画素で有った画素Aが縦横8
倍されて64画素に増加している。In FIG. 6, A, B, C, and D are the original pixels.
It has been multiplied to 64 pixels.
【0054】この例では、先ず、補間倍数算出手段12
で補間倍数を1/2とし、次に、線形補間手段13によ
り図中のア,イ,ウの3点を算出し、そのあと単純補間
手段14で原画素Aとア,イ,ウの3つの補間画素の4
画素を基準に右下方向に4倍にコピーをする(実際には
先ずX方向にコピーし、次にY方向にコピーする)こと
により隣り合う原画素A,B,D,Cの間について補間
処理を行ない図6の結果を得ている。In this example, first, the interpolation multiple calculating means 12
Then, the interpolation multiple is reduced to 1/2, then the three points A, A, and C in the figure are calculated by the linear interpolation means 13, and then the original pixel A and the three points A, A, and C are calculated by the simple interpolation means 14. Four of the interpolation pixels
Interpolate between adjacent original pixels A, B, D, and C by copying four times in the lower right direction based on the pixel (actually, first copy in the X direction and then copy in the Y direction). The processing is performed to obtain the result of FIG.
【0055】次に、原画素Bと隣合う原画素との間につ
いても同様の処理を繰返し、原画素C,Dについても同
様の処理を繰返すことによりビットマップ上の拡大画素
を補間することができる。Next, the same processing is repeated between the original pixel B and the adjacent original pixel, and the same processing is repeated for the original pixels C and D, thereby interpolating the enlarged pixel on the bit map. it can.
【0056】[0056]
【発明の効果】以上説明したように本発明によれば、ビ
ットマップ上の拡大画像に対し2の累乗値で線形補間処
理により画素を補間した後、残ったビットマップ上の部
分に画素の水増しによる単純補間処理を行なうので、拡
大画像の解像度をある水準以上に保って画像品質を維持
させることができ、且つ、拡大倍率に拘らず高速な画素
の補間が可能となった。As described above, according to the present invention, after the pixels are interpolated by a linear interpolation process with respect to the magnified image on the bitmap by a power of 2, the remaining pixels on the bitmap are inflated. Since the simple interpolation process is performed, the image quality can be maintained while maintaining the resolution of the enlarged image at a certain level or higher, and high-speed pixel interpolation can be performed regardless of the magnification.
【図1】画素高速補間手段の構成を示すブロック図であ
る。FIG. 1 is a block diagram illustrating a configuration of a pixel high-speed interpolation unit.
【図2】本発明の拡大画像の高速画素補間方式を適用可
能な画像処理装置の一例である。FIG. 2 is an example of an image processing apparatus to which a high-speed pixel interpolation method for an enlarged image according to the present invention can be applied.
【図3】ビットマップ拡大手段の説明図である。FIG. 3 is an explanatory diagram of a bitmap enlarging unit.
【図4】補間倍数算出手段,線形補間手段および単純補
間手段による画素補間処理の説明図である。FIG. 4 is an explanatory diagram of pixel interpolation processing by an interpolation multiple calculation unit, a linear interpolation unit, and a simple interpolation unit;
【図5】補間倍数算出手段,線形補間手段および単純補
間手段による高速画素補間処理の説明図である。FIG. 5 is an explanatory diagram of high-speed pixel interpolation processing by an interpolation multiple calculation unit, a linear interpolation unit, and a simple interpolation unit.
【図6】高速画素補間処理の実施例である。FIG. 6 is an example of high-speed pixel interpolation processing.
【図7】線形補間法の説明図である。FIG. 7 is an explanatory diagram of a linear interpolation method.
【図8】線形補間法の説明図である。FIG. 8 is an explanatory diagram of a linear interpolation method.
【図9】単純補間法の説明図である。FIG. 9 is an explanatory diagram of a simple interpolation method.
1 制御部 2 メモリー 3 プログラム格納部 6 入力手段 7 データ送信手段 10 画素高速補間手段 11 ビットマップ拡大手段 12 補間倍数算出手段 13 線形補間手段 14 単純補間手段 31、32 ビットマップ DESCRIPTION OF SYMBOLS 1 Control part 2 Memory 3 Program storage part 6 Input means 7 Data transmission means 10 Pixel high-speed interpolation means 11 Bit map enlargement means 12 Interpolation multiple calculation means 13 Linear interpolation means 14 Simple interpolation means 31, 32 Bit map
───────────────────────────────────────────────────── フロントページの続き (51)Int.Cl.6 識別記号 FI G09G 5/36 520 B41J 3/00 A H04N 1/21 3/12 L 1/387 101 G06F 15/66 355C (72)発明者 遠藤 岳男 長野県諏訪市大和3丁目3番5号 セイコ ーエプソン株式会社内 (72)発明者 松枝 裕司 長野県諏訪市大和3丁目3番5号 セイコ ーエプソン株式会社内 (72)発明者 堀井 和哉 長野県諏訪市大和3丁目3番5号 セイコ ーエプソン株式会社内──────────────────────────────────────────────────の Continuation of the front page (51) Int.Cl. 6 Identification code FI G09G 5/36 520 B41J 3/00 A H04N 1/21 3/12 L 1/387 101 G06F 15/66 355C (72) Inventor Takeo Endo 3-5-5 Yamato, Suwa City, Nagano Prefecture Seiko Epson Corporation (72) Inventor Yuji Matsueda 3-3-5 Yamato Suwa City, Nagano Prefecture Inside Seiko Epson Corporation (72) Kazuya Horii Inventor Kazuya Horii Nagano Prefecture 3-5-5 Yamato, Suwa City Inside Seiko Epson Corporation
Claims (5)
素をX方向にR倍,Y方向にS倍拡大したビットマップ
の拡大画像の補間方式であって、 RーαU≧0,SーαV≧0となる2の累乗値U,Vが
存在する場合には隣り合う画素同士で、2からUまでの
2の累乗値の逆数でX方向に、2からVまでの2の累乗
値の逆数でY方向に線形補間を繰返して新たな画素をそ
れぞれ決定し、これら線形補間により補間できないビッ
トマップ上の部分について原画素および上記線形補間に
より得た画素を用いて単純補間することを特徴とする拡
大画像の画素高速補間方式。1. An interpolation method for an enlarged image of a bitmap in which original pixels developed into an m × n bitmap are enlarged R times in an X direction and S times in a Y direction, wherein R−αU ≧ 0, S -If there are powers of 2 U and V satisfying αV ≧ 0, the power of 2 from 2 to V in the X direction is the reciprocal of the power of 2 from 2 to U between adjacent pixels. Iteratively repeats linear interpolation in the Y direction with the reciprocal of to determine new pixels, and performs simple interpolation using the original pixels and the pixels obtained by the above linear interpolation for the portions on the bitmap that cannot be interpolated by these linear interpolations. Pixel high-speed interpolation method for enlarged images.
方式において、2の累乗値U,Vの係数αが2または4
であることを特徴とする拡大画像の画素高速補間方式。2. A high-speed pixel interpolation method for an enlarged image according to claim 1, wherein the coefficient α of the power of two U, V is 2 or 4.
A high-speed pixel interpolation method for an enlarged image.
部、およびプリンタへのデータ送信手段を備え、 メモリー上に展開されたm×nのビットマップを更にX
方向にR倍,Y方向にS倍拡大するビットマップ拡大手
段と、 RーαU≧0,SーαV≧0となる2の累乗数Uおよび
/またはVが存在する場合に、2からU,Vまでの2の
累乗数を得る補間倍数算出手段と、 累乗数Uが存在する場合には隣り合う画素同士で2から
Uまでの2の累乗値の逆数でX方向に線形補間を繰返
し、累乗数Vが存在する場合には隣り合う画素同士で2
からVまでの2の累乗値の逆数でY方向に線形補間を繰
返して新たな画素をそれぞれ決定してビットマップに位
置付ける線形補間手段と、 原画素および線形補間手段により得た補間画素のそれぞ
れについてX方向およびY方向に隣り合う画素との間に
上記線形補間手段では補間されなかったビットマップ部
分が存在する場合に、当該補間されなかった部分を上記
それぞれの画素で単純補間する単純補間手段と、からな
る画素高速補間手段を有することを特徴とする画像処理
装置。3. A control unit, an image memory, a program storage unit, and a means for transmitting data to a printer, wherein the m × n bit map developed on the memory is further converted to X
Bitmap enlarging means for enlarging R times in the direction and S times in the Y direction; and when there are powers of two U and / or V satisfying R−αU ≧ 0 and S−αV ≧ 0, 2 to U, An interpolation multiple calculating means for obtaining a power of 2 up to V; and if a power U is present, adjacent pixels repeat linear interpolation in the X direction with a reciprocal of a power of 2 from 2 to U; When the number V exists, two pixels are used between adjacent pixels.
Linear interpolation is repeated in the Y direction with the reciprocal of a power of 2 from V to V to determine a new pixel and position it in the bitmap; and for each of the original pixel and the interpolation pixel obtained by the linear interpolation When there is a bitmap portion that is not interpolated by the linear interpolation unit between pixels adjacent in the X direction and the Y direction, a simple interpolation unit that simply interpolates the non-interpolated portion with the respective pixels. An image processing apparatus comprising: a pixel high-speed interpolation unit comprising:
て、2の累乗値U,Vの係数αが2または4であること
を特徴とする画像処理装置。4. The image processing apparatus according to claim 3, wherein the coefficient α of the powers of two U, V is 2 or 4.
の制御動作を機能させる請求項3または4に記載の画素
高速処理手段を格納したことを特徴とする記憶媒体。5. A storage medium storing the pixel high-speed processing means according to claim 3, wherein the control operation of the control unit of the image processing apparatus according to claim 3 functions.
Priority Applications (1)
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JP27646896A JP3815514B2 (en) | 1996-10-18 | 1996-10-18 | High-speed pixel interpolation method and image processing apparatus for enlarged image |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP27646896A JP3815514B2 (en) | 1996-10-18 | 1996-10-18 | High-speed pixel interpolation method and image processing apparatus for enlarged image |
Publications (2)
Publication Number | Publication Date |
---|---|
JPH10126612A true JPH10126612A (en) | 1998-05-15 |
JP3815514B2 JP3815514B2 (en) | 2006-08-30 |
Family
ID=17569877
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JP (1) | JP3815514B2 (en) |
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US6510254B1 (en) | 1998-04-06 | 2003-01-21 | Seiko Epson Corporation | Apparatus and method for image data interpolation and medium on which image data interpolation program is recorded |
US6768559B1 (en) | 1998-04-20 | 2004-07-27 | Seiko Epson Corporation | Medium on which printing control program is recorded, printing controller, and printing controlling method |
-
1996
- 1996-10-18 JP JP27646896A patent/JP3815514B2/en not_active Expired - Lifetime
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US6510254B1 (en) | 1998-04-06 | 2003-01-21 | Seiko Epson Corporation | Apparatus and method for image data interpolation and medium on which image data interpolation program is recorded |
US6614553B2 (en) | 1998-04-06 | 2003-09-02 | Seiko Epson Corporation | Apparatus and method for image data interpolation and medium on which image data interpolation program is recorded |
US6768559B1 (en) | 1998-04-20 | 2004-07-27 | Seiko Epson Corporation | Medium on which printing control program is recorded, printing controller, and printing controlling method |
Also Published As
Publication number | Publication date |
---|---|
JP3815514B2 (en) | 2006-08-30 |
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