JPH09138869A - Picture shaping method - Google Patents
Picture shaping methodInfo
- Publication number
- JPH09138869A JPH09138869A JP7296420A JP29642095A JPH09138869A JP H09138869 A JPH09138869 A JP H09138869A JP 7296420 A JP7296420 A JP 7296420A JP 29642095 A JP29642095 A JP 29642095A JP H09138869 A JPH09138869 A JP H09138869A
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- 238000007493 shaping process Methods 0.000 title claims abstract description 10
- 238000000034 method Methods 0.000 title claims description 9
- 239000011159 matrix material Substances 0.000 description 6
- 239000013256 coordination polymer Substances 0.000 description 4
- 238000010586 diagram Methods 0.000 description 4
- 238000004364 calculation method Methods 0.000 description 1
- 238000013507 mapping Methods 0.000 description 1
Landscapes
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Abstract
Description
【０００１】[0001]
【発明の属する技術分野】本発明は、写真等の静止画像
からある領域を切り出す手法であって、その領域を正面
から切り出す画像整形方法に関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method for cutting out a certain area from a still image such as a photograph, and to an image shaping method for cutting out the area from the front.
【０００２】[0002]
【従来の技術】コンピュータにて画像を扱うに当って、
そのツールの多くは、画像からある領域を切り出し、こ
の切り出した領域を保存するという機能を有する。この
場合、切り出す領域の指定は、ユーザがマウスを用いて
表示された画像上に長方形の切り出し領域を描いたり、
画像上に切り出し閉曲線を描くことにより行なわれる。2. Description of the Related Art When handling images on a computer,
Many of the tools have a function of cutting out an area from an image and saving the cut out area. In this case, the user specifies the cutout area by drawing a rectangular cutout area on the displayed image with the mouse.
It is performed by drawing out a closed curve on the image.
【０００３】[0003]
【発明が解決しようとする課題】上記画像の領域の切り
出しにあって、例えばカメラによる写真画像を対象とし
た場合、カメラは中心射影であるため、例えば直方体を
撮影した場合図２に示す画像が得られる。つまり、実際
は長方形である直方体の側面例えばＳは、写真上では長
方形として得られない。従って、前述した領域の切り出
し、保存を行なうツールでは、３次元空間中での長方形
として把握される側面を写真上の画像から長方形として
切り出すことができない。When cutting out the area of the image described above, for example, when a photographic image by a camera is targeted, the camera is a central projection, and therefore, for example, when a rectangular parallelepiped is photographed, the image shown in FIG. can get. That is, the side surface of the rectangular parallelepiped, which is actually a rectangle, for example, S cannot be obtained as a rectangle on the photograph. Therefore, the above-described tool for cutting out and saving the area cannot cut out the side surface recognized as a rectangle in the three-dimensional space as a rectangle from the image on the photograph.
【０００４】また、３次元コンピュータグラフィクス
（以下ＣＧと称す）の技術の一つにテクスチャマッピン
グがある。これは作成した３次元オブジェクトの表面
に、表面模様（テクスチャ）として画像を張り付ける技
術である。この場合、張り付けるテクスチャとしては、
通常ユーザが作成した２次元ＣＧを用いるのであるが、
この２次元ＣＧの作成には熟練した技術と多大な時間を
要する。このため、テクスチャとして写真から切り出し
た領域を用いることが考えられ、写真を用いることで２
次元ＣＧを作成する手間が省けると共により現実感のあ
る３次元ＣＧを作成することができる。しかしながら、
この場合も３次元ＣＧで例えば長方形の部分に張り付け
るテクスチャを、長方形とならない写真の画像から長方
形として切り出すことが必要となるが、前述したように
現存のツールではこの長方形としての切り出しをするこ
とができない。Texture mapping is one of the techniques of three-dimensional computer graphics (hereinafter referred to as CG). This is a technique for attaching an image as a surface pattern (texture) on the surface of the created three-dimensional object. In this case, as the texture to paste,
Normally, a two-dimensional CG created by a user is used,
Skilled techniques and a great deal of time are required to create this two-dimensional CG. For this reason, it is conceivable to use the area cut out from the photograph as the texture.
It is possible to save the trouble of creating a three-dimensional CG and create a more realistic three-dimensional CG. However,
In this case as well, it is necessary to cut out a texture to be attached to a rectangular portion with a three-dimensional CG as a rectangle from an image of a photograph that does not become a rectangle. I can't.
【０００５】本発明は、上述の問題に鑑み、例えば長方
形でない部分を正面から見た長方形に整形して切り出す
画像整形方法の提供を目的とする。In view of the above problems, it is an object of the present invention to provide an image shaping method for shaping a non-rectangular portion into a rectangular shape as seen from the front and cutting it out.
【０００６】[0006]
【課題を解決するための手段】上述の目的を達成する本
発明は、画像面ＡＤ上での整形のための切り出し領域Ｋ
Ｄを設定し、この領域ＫＤに当る３次元空間領域ＲＤを
決定し、この３次元空間領域ＲＤを正面とするカメラ位
置ＰＰを決定し、このカメラ位置ＰＰにカメラを回転・
移動させ、この移動後のカメラにより上記３次元空間領
域ＲＤから画像を形成したことを特徴とする。According to the present invention, which achieves the above-mentioned object, a cutout region K for shaping on an image plane AD is provided.
D is set, a three-dimensional space region RD corresponding to this region KD is determined, a camera position PP with this three-dimensional space region RD in front is determined, and the camera is rotated to this camera position PP.
It is characterized in that the image is formed from the three-dimensional space region RD by moving the camera after the movement.
【０００７】画像面ＡＤ上の整形すべき領域ＫＤを切り
出して一旦３次元空間に置き、この３次元空間にて領域
ＲＤを正面から見るようカメラを動かし、このカメラに
て画像を得るようにしており、正面の画像を得ることが
できる。A region KD to be shaped on the image plane AD is cut out and once placed in a three-dimensional space, the camera is moved so that the region RD can be seen from the front in this three-dimensional space, and an image is obtained by this camera. And a front image can be obtained.
【０００８】[0008]
【発明の実施の形態】ここで、図１を参照して発明の実
施の形態である整形アルゴリズムを説明する。まず、図
１において、領域を切り出す対象となる画像面（写真）
ＡＤについて座標系を設定する。この座標系は画像面Ａ
Ｄ平面上でのＵ−Ｖ直交座標であり、座標原点は画像面
中心に置く。ついで、画像面ＡＤ内において、切り出す
領域ＫＤをマウスなどにより指定する。すなわち、画像
面ＡＤ内での切り出す領域ＫＤの４頂点を画像面内のＵ
−Ｖ座標にて指定する。この４頂点は画像面上の領域Ｋ
Ｄ右下から反時計方向に（Ｕ０，Ｖ０），（Ｕ１，Ｖ
１），（Ｕ２，Ｖ２），（Ｕ３，Ｖ３）とする。この図
１の例では切り出し領域ＫＤは平行四辺形として得られ
る。BEST MODE FOR CARRYING OUT THE INVENTION Here, a shaping algorithm which is an embodiment of the invention will be described with reference to FIG. First, in FIG. 1, an image surface (photograph) as a target for cutting out an area
Set the coordinate system for AD. This coordinate system is image plane A
The coordinates are UV rectangular coordinates on the D plane, and the origin of the coordinates is located at the center of the image plane. Then, in the image plane AD, a region KD to be cut out is designated by a mouse or the like. That is, the four vertices of the cut out region KD in the image plane AD are set to U in the image plane.
-Specify by V coordinate. These four vertices are the area K on the image plane.
(U0, V0), (U1, V
1), (U2, V2), (U3, V3). In the example of FIG. 1, the cutout region KD is obtained as a parallelogram.
【０００９】他方、カメラ中心ＯＰを原点とした３次元
座標Ｘ，Ｙ，Ｚを設定し、この直交座標Ｘ，Ｙ，ＺのＺ
軸上に画像面中心ＤＰ（Ｕ−Ｖ座標原点）を置き、３次
元座標の原点ＯＰと画像面中心ＤＰとの距離を焦点距離
Ｆとする。このとき、画像面ＡＤの切り出し領域ＫＤの
４頂点に相当する３次元空間領域ＲＤの座標を座標右下
から反時計方向に（Ｘ０，Ｙ０，Ｚ０），（Ｘ１，Ｙ
１，Ｚ１），（Ｘ２，Ｙ２，Ｚ２），（Ｘ３，Ｙ３，Ｚ
３）とする。なお、カメラ中心である３次元座標原点Ｏ
は（０，０，０）である。On the other hand, three-dimensional coordinates X, Y, Z with the camera center OP as the origin are set, and Z of these orthogonal coordinates X, Y, Z is set.
The image plane center DP (UV coordinate origin) is placed on the axis, and the distance between the origin OP of the three-dimensional coordinates and the image plane center DP is defined as the focal length F. At this time, the coordinates of the three-dimensional space area RD corresponding to the four vertices of the cutout area KD of the image plane AD are (X0, Y0, Z0), (X1, Y) in the counterclockwise direction from the lower right of the coordinates.
1, Z1), (X2, Y2, Z2), (X3, Y3, Z
3). Note that the origin of the three-dimensional coordinate O, which is the center of the camera,
Is (0,0,0).
【００１０】かかる図１にて設定された座標系Ｕ−Ｖ，
Ｘ−Ｙ−Ｚにおいて、３次元空間座標と画像面座標との
関係を求めるに、例えば頂点（Ｕ０，Ｖ０），（Ｘ０，
Ｙ０，Ｚ０）に着目するとＺ軸上にてＦ：Ｚ０はＵ軸及
びＸ軸上でＵ０：Ｘ０となる。これを一般式にて表わす
とＦ：Ｕｉ＝Ｚｉ：Ｘｉとなり次式を得る。 Ｕｉ＝ＸｉＦ／Ｚｉ ……（１） 同様にＶ軸とＹ軸についても、次式となる。 Ｖｉ＝ＹｉＦ／Ｚｉ ……（２）The coordinate system U-V, set in FIG.
In XYZ, in order to obtain the relationship between the three-dimensional space coordinates and the image plane coordinates, for example, vertices (U0, V0), (X0,
Focusing on (Y0, Z0), F: Z0 on the Z axis becomes U0: X0 on the U axis and the X axis. When this is expressed by a general formula, F: Ui = Zi: Xi, and the following formula is obtained. Ui = XiF / Zi (1) Similarly, for the V axis and the Y axis, the following equation is obtained. Vi = YiF / Zi (2)
【００１１】このように座標系どおしの関係を明確にし
て、画像面ＡＤにてユーザが指定した４頂点の３次元領
域ＲＤを推定する。画像面上にて指定した４頂点に相応
する３次元座標間の関係は、切り出し領域ＫＤが平行四
辺形であるため次式が成立する。 Ｘ０−Ｘ１＝Ｘ３−Ｘ２ Ｙ０−Ｙ１＝Ｙ３−Ｙ２ ……（３） Ｚ０−Ｚ１＝Ｚ３−Ｚ２ 上式（１），（２），（３）の式から次式［数１］の行
列が導かれる。In this way, the relationship between the coordinate systems is clarified, and the three-dimensional region RD of four vertices designated by the user on the image plane AD is estimated. The relationship between the three-dimensional coordinates corresponding to the four vertices designated on the image plane is the following expression because the cutout region KD is a parallelogram. X0-X1 = X3-X2 Y0-Y1 = Y3-Y2 (3) Z0-Z1 = Z3-Z2 From the formulas (1), (2), and (3), the matrix of the following formula [Formula 1] Is guided.
【数１】 (Equation 1)
【００１２】ここで、Ｚｄは予め任意の正の値を与えて
おく。こうして、（４）式の一次連立方程式を解くこと
によってＺ０，Ｚ１，Ｚ２，Ｚ３が求まり、この値Ｚ
０，Ｚ１，Ｚ２，Ｚ３を式（１）（２）に代入すること
で、Ｘ０，Ｘ１，Ｘ２，Ｘ３，Ｙ０，Ｙ１，Ｙ２，Ｙ３
が求まる。こうして、画像面ＡＤ上にて指定した４頂点
に相応する３次元座標（Ｘ０Ｙ０Ｚ０）（Ｘ１Ｙ１Ｚ
１）（Ｘ２Ｙ２Ｚ２）（Ｘ３Ｙ３Ｚ３）が求まった。ま
た、得られた３次元座標の幅Ｗ及び高さＨを求めておく
と、次式［数２］となる。Here, Zd is given an arbitrary positive value in advance. In this way, Z0, Z1, Z2, and Z3 are obtained by solving the linear simultaneous equation (4), and this value Z
By substituting 0, Z1, Z2, Z3 into the equations (1) and (2), X0, X1, X2, X3, Y0, Y1, Y2, Y3
Is found. Thus, the three-dimensional coordinates (X0Y0Z0) (X1Y1Z) corresponding to the four vertices designated on the image surface AD are obtained.
1) (X2Y2Z2) (X3Y3Z3) was obtained. Further, when the width W and height H of the obtained three-dimensional coordinates are obtained, the following equation [Equation 2] is obtained.
【数２】 (Equation 2)
【００１３】以上の段階では画像面の切り出し領域ＫＤ
に相応する３次元座標ＲＤが得られた。したがって、つ
ぎにカメラ位置を３次元空間において切り出した領域Ｒ
Ｄの正面に移動させれば、その領域ＲＤの正面画像が得
られることになる。つまり、領域ＲＤの真正面にカメラ
が存在すれば、長方形の形状は、新たなカメラ位置での
写真中ではそのまま長方形となる。ここで、３次元空間
における領域ＲＤの中心ＣＰを（ＸＣ，ＹＣ，ＺＣ）と
すると、この座標は次式（６）にて得られる。 ＸＣ＝（Ｘ０＋Ｘ１＋Ｘ２＋Ｘ３）／４ ＹＣ＝（Ｙ０＋Ｙ１＋Ｙ２＋Ｙ３）／４ ……（６） ＺＣ＝（Ｚ０＋Ｚ１＋Ｚ２＋Ｚ３）／４ 他方、領域ＲＤと正面に向うカメラ中心の座標ＰＰを
（Ｘ・cam ，Ｙ・cam ，Ｚ・cam ）とすると、中心ＰＰ
と中心ＣＰとを結ぶベクトルは３次元空間領域ＲＤと直
交することになり、すなわちベクトルの内積が零となる
直交条件から次式［数３］を得る。In the above steps, the cutout area KD of the image surface
A three-dimensional coordinate RD corresponding to Therefore, next, a region R obtained by cutting out the camera position in the three-dimensional space is used.
If it is moved to the front of D, the front image of the region RD will be obtained. That is, if the camera is directly in front of the region RD, the rectangular shape will be the rectangular shape as it is in the photograph at the new camera position. Here, when the center CP of the region RD in the three-dimensional space is (XC, YC, ZC), this coordinate is obtained by the following equation (6). XC = (X0 + X1 + X2 + X3) / 4 YC = (Y0 + Y1 + Y2 + Y3) / 4 (6) ZC = (Z0 + Z1 + Z2 + Z3) / 4 On the other hand, the coordinates PP of the area RD and the camera center facing the front are (Xcam, Ycam, Z).・ Cam)
The vector connecting the center CP with is orthogonal to the three-dimensional space region RD, that is, the following expression [Equation 3] is obtained from the orthogonal condition that the inner product of the vector is zero.
【数３】 (Equation 3)
【００１４】また、カメラ中心ＰＰと領域中心ＣＰとの
距離を焦点距離と同じＦとすると次式（８）が成立す
る。 （Ｘ・cam −ＸＣ)2＋（Ｙ・cam −ＹＣ)2＋（Ｚ・cam −ＺＣ)2＝Ｆ2 ……（８） この式（７）（８）を解くことによって、カメラ移動後
の３次元座標原点（Ｘ・cam ，Ｙ・cam ，Ｚ・cam ）が
求まる。When the distance between the camera center PP and the area center CP is F, which is the same as the focal length, the following equation (8) is established. (X · cam −XC) 2 + (Y · cam −YC) 2 + (Z · cam −ZC) 2 = F 2 (8) After solving the equations (7) and (8), the camera is moved. The three-dimensional coordinate origin (X · cam, Y · cam, Z · cam) of is obtained.
【００１５】こうして、３次元空間領域ＲＤを正面にみ
るカメラ位置が決まったので、ついで、カメラの回転・
移動を表わす行列ＲＴを求める。カメラの移動によって
中心（０００）が（−Ｘ・cam ，−Ｙ・cam ，−Ｚ・ca
m ）に移り、領域ＲＤの頂点（Ｘ０Ｙ０Ｚ０）が（−Ｗ
／２，−Ｈ／２，Ｆ）になり、頂点（Ｘ１，Ｙ１，Ｚ
１）が（Ｗ／２，−Ｈ／２，Ｆ）になり、頂点（Ｘ２，
Ｙ２，Ｚ２）が（Ｗ／２，Ｈ／２，Ｆ）になり、そして
頂点（Ｘ３，Ｙ３，Ｚ３）が（−Ｗ／２，Ｈ／２，Ｆ）
になる。この結果、３次元空間中での回転・移動を表わ
す４行４列の行列ＲＴは次式［数４］の行列にて得られ
る。In this way, the position of the camera when the three-dimensional space region RD is viewed from the front is determined.
A matrix RT representing movement is obtained. When the camera moves, the center (000) becomes (-X.cam, -Y.cam, -Z.ca).
m), the vertex (X0Y0Z0) of the region RD is (-W
/ 2, -H / 2, F), and the vertices (X1, Y1, Z
1) becomes (W / 2, -H / 2, F), and the vertex (X2,
Y2, Z2) becomes (W / 2, H / 2, F), and the vertex (X3, Y3, Z3) becomes (-W / 2, H / 2, F).
become. As a result, the matrix RT of 4 rows and 4 columns representing the rotation / movement in the three-dimensional space is obtained by the matrix of the following expression [Formula 4].
【数４】 (Equation 4)
【００１６】カメラの回転・移動後、この正面から見た
３次元空間領域ＲＤの画像面ＡＤの座標（ｎ，ｍ）にお
ける画素値value ［ｎ］［ｍ］を求める。これは、カメ
ラ移動前での３次元空間中の対応する座標値（Ｘｂ，Ｙ
ｂ，Ｚｂ）を求め、その点の元の画像上での投影された
ピクセルの画素値を参照することにより得られる。カメ
ラの回転・移動を表わす行列ＲＴの逆行列をＲＴinv と
し、このＲＴinv のｎ行ｍ列の要素をＲＴinv ［ｎ］
［ｍ］とし、また元の画像の座標（ｐ，ｑ）における画
素値をvalue ・ init［ｐ］［ｑ］とする。この結果カメ
ラ移動後での３次元空間領域ＲＤの画像面ＡＤに対応す
る画素値を次式［数５］にて求めることができる。After the rotation and movement of the camera, the pixel value value [n] [m] at the coordinates (n, m) of the image plane AD of the three-dimensional space region RD viewed from the front is obtained. This is the corresponding coordinate value (Xb, Y in the three-dimensional space before the camera is moved.
b, Zb) and refer to the pixel value of the projected pixel on the original image of that point. Let RTinv be the inverse matrix of the matrix RT that represents the rotation and movement of the camera, and let RTinv [n] be the element at row n and column m of this RTinv.
Let [m] be the pixel value at the coordinates (p, q) of the original image be value.init [p] [q]. As a result, the pixel value corresponding to the image plane AD of the three-dimensional space area RD after the camera movement can be obtained by the following equation [Equation 5].
【数５】 (Equation 5)
【００１７】この［数５］による計算を−Ｗ／２≦ｎ≦
Ｗ／２，−Ｈ／２≦ｍ≦Ｈ／２の範囲に行なうことによ
り切り出した領域を長方形に整形した画像が得られる。The calculation by this [Equation 5] is -W / 2≤n≤
By performing in the range of W / 2, −H / 2 ≦ m ≦ H / 2, an image in which the cut out region is shaped into a rectangle can be obtained.
【００１８】図３，図４は本発明を写真に適用し、この
写真の領域（太線）を切り出し、正面画像に整形した例
を示している。FIGS. 3 and 4 show an example in which the present invention is applied to a photograph and a region (thick line) of this photograph is cut out and shaped into a front image.
【００１９】[0019]
【発明の効果】以上説明したように本発明によれば、３
次元空間中で一定の形状をした領域のテクスチャを、領
域の真正面から撮影していない画像から恰も正面から撮
影したように切り出すことができる。また、この切り出
したテクスチャを用いて現実感あるＣＧを作成すること
ができる。As described above, according to the present invention, 3
The texture of a region having a certain shape in the dimensional space can be cut out from an image that is not photographed directly in front of the region as if it were photographed from the front. Also, a realistic CG can be created by using the cut-out texture.
【図１】本発明方法の説明図。FIG. 1 is an explanatory diagram of the method of the present invention.
【図２】直方体の写真画像を示す図。FIG. 2 is a diagram showing a photographic image of a rectangular parallelepiped.
【図３】写真画像の実際例を示す図。FIG. 3 is a diagram showing an actual example of a photographic image.
【図４】整形後の画像を示す図。FIG. 4 is a diagram showing an image after shaping.
Ｘ，Ｙ，Ｚ ３次元座標 Ｕ，Ｖ ２次元座標 ＯＰ カメラ中心（３次元座標原点） ＤＰ 画像中心 ＣＰ ３次元空間領域中心 ＰＰ 移動後のカメラ中心 ＡＤ 画像面 ＫＤ 画像面上での切り出し領域 ＲＤ ３次元空間での切り出し領域 X, Y, Z 3D coordinate U, V 2D coordinate OP Camera center (3D coordinate origin) DP Image center CP 3D spatial region center PP Camera center after movement AD Image plane KD Cutout region on image plane RD Cutout area in three-dimensional space
Claims (1)
領域ＫＤを設定し、 この領域ＫＤに当る３次元空間領域ＲＤを決定し、 この３次元空間領域ＲＤを正面とするカメラ位置ＰＰを
決定し、 このカメラ位置ＰＰにカメラを回転・移動させ、 この移動後のカメラにより上記３次元空間領域ＲＤから
画像を形成した、 画像整形方法。1. A cutout region KD for shaping on an image plane AD is set, a three-dimensional space region RD corresponding to this region KD is determined, and a camera position PP with the three-dimensional space region RD in front is set. An image shaping method in which the camera is determined and rotated and moved to this camera position PP, and an image is formed from the three-dimensional space region RD by the moved camera.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP7296420A JPH09138869A (en) | 1995-11-15 | 1995-11-15 | Picture shaping method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP7296420A JPH09138869A (en) | 1995-11-15 | 1995-11-15 | Picture shaping method |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JPH09138869A true JPH09138869A (en) | 1997-05-27 |
Family
ID=17833319
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP7296420A Withdrawn JPH09138869A (en) | 1995-11-15 | 1995-11-15 | Picture shaping method |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPH09138869A (en) |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO1999063488A1 (en) * | 1998-06-02 | 1999-12-09 | Sony Corporation | Image processing device and image processing method |
| WO2003069556A1 (en) * | 2002-02-15 | 2003-08-21 | Fujitsu Limited | Image conversion method and device, image recognition device, robot control device and image projection device |
| WO2005029408A1 (en) * | 2003-09-18 | 2005-03-31 | Brother Kogyo Kabushiki Kaisha | Image processing device and imaging device |
| JP2015065579A (en) * | 2013-09-25 | 2015-04-09 | 株式会社富士通ゼネラル | Picture data conversion device and operation support device, navigation device, and camera device |
-
1995
- 1995-11-15 JP JP7296420A patent/JPH09138869A/en not_active Withdrawn
Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO1999063488A1 (en) * | 1998-06-02 | 1999-12-09 | Sony Corporation | Image processing device and image processing method |
| US6556195B1 (en) | 1998-06-02 | 2003-04-29 | Sony Corporation | Image processing device and image processing method |
| WO2003069556A1 (en) * | 2002-02-15 | 2003-08-21 | Fujitsu Limited | Image conversion method and device, image recognition device, robot control device and image projection device |
| US7561754B2 (en) | 2002-02-15 | 2009-07-14 | Fujitsu Limited | Image transformation apparatus for image transformation of projected image by preventing distortion |
| US7567728B2 (en) | 2002-02-15 | 2009-07-28 | Fujitsu Limited | Method and apparatus using image transformation of picked up image into image enabling position |
| WO2005029408A1 (en) * | 2003-09-18 | 2005-03-31 | Brother Kogyo Kabushiki Kaisha | Image processing device and imaging device |
| US7627196B2 (en) | 2003-09-18 | 2009-12-01 | Brother Kogyo Kabushiki Kaisha | Image processing device and image capturing device |
| JP2015065579A (en) * | 2013-09-25 | 2015-04-09 | 株式会社富士通ゼネラル | Picture data conversion device and operation support device, navigation device, and camera device |
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