JP5008772B2 - Still image animation method, apparatus and program - Google Patents

Still image animation method, apparatus and program Download PDF

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JP5008772B2
JP5008772B2 JP2011101209A JP2011101209A JP5008772B2 JP 5008772 B2 JP5008772 B2 JP 5008772B2 JP 2011101209 A JP2011101209 A JP 2011101209A JP 2011101209 A JP2011101209 A JP 2011101209A JP 5008772 B2 JP5008772 B2 JP 5008772B2
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英朋 境野
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本発明は、コンピュータグラフィック(CG)等の分野において、静止画の内の一部又は全部の画像を動画化する技術に関するものである。   The present invention relates to a technique for converting some or all of still images into moving images in the field of computer graphics (CG) and the like.

静止画にはさまざまな対象が映し出されているが、対象へ動きを加えることができれば静止画本来の情報を超えた付加価値を見出すことができる。従来では画像編集ツールを用いてメッシュに画像をマッピングし、そのメッシュの格子点をマウスで変形操作することで動きを加えることが中心的である。そのため、細かい変形では格子点の密度を高めていく必要があり、また動画化の際、画像フレーム間の動きが不連続になる問題が指摘されていた。特に、3次元的な構図が著しい対象については、奥行き情報について多くの手間と時間をかけて変形していくことが必要とされていた。   Various objects are shown in the still image, but if you can add movement to the object, you can find added value beyond the original information of the still image. Conventionally, an image editing tool is used to map an image to a mesh, and the movement is mainly performed by deforming the lattice points of the mesh with a mouse. For this reason, it is necessary to increase the density of lattice points for fine deformation, and it has been pointed out that the motion between image frames becomes discontinuous during animation. In particular, for a subject with a remarkable three-dimensional composition, it has been necessary to transform the depth information with much effort and time.

非特許文献1には、1枚の絵画中の波に動きを与える方法が提案され、スペクトル法により、乱数を介して複雑な動きをつくりだしている。しかし、乱数を用いているため、人為的に細かい動きを設定することができず、また波現象に表現が強く限定されている問題がある。   Non-Patent Document 1 proposes a method for imparting motion to a wave in a single picture, and a complex motion is created through random numbers using a spectral method. However, since random numbers are used, there is a problem that fine movement cannot be artificially set and the expression is strongly limited to the wave phenomenon.

非特許文献2には、滝の映像を繰り返し表現がでるようにインタラクティブに設定できるツールが示されている。しかし、非特許文献1と同様に、適用できる素材が特定の対象(ここでは滝)に限定されている問題がある。また、2次元的な扱いに留まっており、奥行き効果が含まれていない。   Non-Patent Document 2 discloses a tool that can be interactively set so that a waterfall image can be repeatedly expressed. However, like Non-Patent Document 1, there is a problem that applicable materials are limited to a specific target (here, a waterfall). Moreover, it is only two-dimensional and does not include the depth effect.

Y-Y.Chuang,B.D.Goldman,K.C.Zheng,B.Curless,D.H.Salesin,and R.Szeliski "Animating pictures with stochastic motion textures" ACM SIGGRAPH,pp.853-860,2005.Y-Y.Chuang, B.D.Goldman, K.C.Zheng, B.Curless, D.H.Salesin, and R.Szeliski "Animating pictures with stochastic motion textures" ACM SIGGRAPH, pp.853-860,2005. K.S.Bhat,S.M.Seitz,J.K.Hodgins,and P.K.Khosla,"Flow-based video synthesis and editing",ACM SIGGRAPH,pp.360-363,2004.K.S.Bhat, S.M.Seitz, J.K.Hodgins, and P.K.Khosla, "Flow-based video synthesis and editing", ACM SIGGRAPH, pp. 360-363, 2004.

本発明の目的は、2次元画像を動画化する際に奥行きを導入し任意の細かい動きを設定できるようにすることである。   An object of the present invention is to introduce a depth when moving a two-dimensional image into a moving image so that an arbitrary fine movement can be set.

上記目的を達成するために、請求項1にかかる発明の静止画の動画化方法は、動画化装置により、1枚の2次元画像を取り込んで蓄積し、該取り込んだ2次元画像を遠くの速度と手前の速度とが奥行き情報に基づいて非線形になるように3次元座標に変換し、前記2次元画像の内の動きを加えたい一部又は全部の画像に1又は2以上の同一又は異なる3次元の速度場を、奥行きを算出する項を加えた3次元移流方程式

Figure 0005008772
により設定し、
Figure 0005008772
の有限差分法による離散化表現により時間発展解を求めることで、前記動きを加えたい画像を前記速度場に応じて変形する、ことを特徴とする静止画の動画化方法である
請求項2にかかる発明の静止画の動画化装置は、1枚の2次元画像を取り込むデータ入力手段と、該取り込んだ2次元画像を蓄積するデータ蓄積手段と、前記取り込んだ2次元画像を遠くの速度と手前の速度とが奥行き情報に基づいて非線形になるように3次元座標に変換する座標変換手段と、前記2次元画像の内の動きを加えたい一部又は全部の画像に1又は2以上の同一又は異なる3次元の速度場を、奥行きを算出する項を加えた3次元移流方程式
Figure 0005008772
により設定する動き設定手段と、
Figure 0005008772
の有限差分法による離散化表現により時間発展解を求めることで、前記動きを加えたい画像を前記速度場に応じて変形するデータを得る動画化計算手段と、を備えることを特徴とする静止画の動画化装置である
請求項3にかかる発明の静止画の動画化プログラムは、1枚の2次元画像を取り込むデータ入力ステップと、該取り込んだ2次元画像を蓄積するデータ蓄積ステップと、前記取り込んだ2次元画像を遠くの速度と手前の速度とが奥行き情報に基づいて非線形になるように3次元座標に変換する座標変換ステップと、前記2次元画像の内の動きを加えたい一部又は全部の画像に1又は2以上の同一又は異なる3次元の速度場を、奥行きを算出する項を加えた3次元移流方程式
Figure 0005008772
により設定する動き設定ステップと、
Figure 0005008772
の有限差分法による離散化表現により時間発展解を求めることで、前記動きを加えたい画像を前記速度場に応じて変形するデータを得る動画化計算ステップと、をコンピュータに実行させるための静止画の動画化プログラムである。 In order to achieve the above object, a still image moving image method according to a first aspect of the present invention includes a moving image capturing apparatus that captures and accumulates a single two-dimensional image, and that captures the captured two-dimensional image at a distant speed. Is converted into a three-dimensional coordinate so that the front speed is nonlinear based on the depth information, and one or two or more of the same or different three or more images to be added to the motion in the two-dimensional image are added. 3D advection equation with a 3D velocity field and a term to calculate depth
Figure 0005008772
Set by
Figure 0005008772
This is a still image animation method characterized in that a time evolution solution is obtained by a discretization expression using the finite difference method, and the image to which the motion is to be added is deformed according to the velocity field.
According to a second aspect of the present invention, there is provided a still image moving image conversion apparatus comprising: a data input unit that captures a single two-dimensional image; a data storage unit that stores the captured two-dimensional image; Coordinate conversion means for converting the speed and the previous speed into three-dimensional coordinates so as to be nonlinear based on the depth information, and 1 or 2 for some or all of the images to which motion in the two-dimensional image is to be added. Three-dimensional advection equation with the same or different three-dimensional velocity field plus a term to calculate depth
Figure 0005008772
Movement setting means set by
Figure 0005008772
By determining the time evolution solution by the discrete representation by finite difference method, a still image, characterized in that it comprises a moving value calculating means for obtaining data to be modified in accordance with the image to be added to the motion to the velocity field This is an animation device .
Still image video programs of the invention according to claim 3, a data input step of capturing a two-dimensional image of one, and a data蓄Sekisu step of storing a two-dimensional image captured said, the captured two-dimensional image coordinate variable 換Su steps of converting the 3-dimensional coordinates to be non-linear based on distant velocity and before the speed and the depth information, the two-dimensional part want to make movements or all of the images in the image 3D advection equation with one or two or more same or different 3D velocity fields plus a term to calculate depth
Figure 0005008772
A motion setting step set by
Figure 0005008772
A still image for causing a computer to execute a moving image calculation step for obtaining data for deforming the image to which the motion is to be added according to the velocity field by obtaining a time evolution solution by a discretization expression of the finite difference method of This is an animation program .

本発明によれば、2次元画像の3次元座標系への変換と、動きを加えたい画像への3次元の速度場の設定と、偏微分方程式を用いて動きを加えたい部分の画像を速度場に応じて変形することにより、自然な動画化の時間発展した結果のデータを得ることができる。手、顔の表情、その他の動きであっても、その3次元の速度場を検出して2次元画像の動画化処理に直接適用できる。   According to the present invention, conversion of a two-dimensional image into a three-dimensional coordinate system, setting of a three-dimensional velocity field to an image to which motion is to be added, and speed of an image of a portion to which motion is to be added using a partial differential equation By transforming according to the field, it is possible to obtain data as a result of time evolution of natural animation. Even a hand, facial expression, and other movements can be directly applied to animation processing of a two-dimensional image by detecting the three-dimensional velocity field.

本発明は、カメラを通じてあるいは既に撮影された1枚の2次元画像を取り込んで蓄積し、該取り込んだ2次元画像を3次元座標に変換し、該2次元画像の内の動きを加えたい一部又は全部の画像に1又は2以上の同一又は異なる3次元の速度場を設定し、偏微分方程式(3次元移流方程式)を用いて前記動きを加えたい画像を前記速度場に応じて変形する動画化の計算を行い時間発展したデータを得、これを動画表示するものである。   The present invention captures and accumulates a two-dimensional image that has already been taken through a camera or a camera, converts the captured two-dimensional image into a three-dimensional coordinate, and adds a motion within the two-dimensional image. Alternatively, one or two or more same or different three-dimensional velocity fields are set for all the images, and the moving image is deformed according to the velocity field using the partial differential equation (three-dimensional advection equation). The time-developed data is obtained by calculating the conversion, and this is displayed as a moving image.

これを実現するための装置構成の実施例を図1に示す。本装置は、カメラを通じてあるいは既に撮影された1枚の2次元画像を取り込むデータ入力手段101と、取り込んだ画像を蓄積するデータ蓄積手段102と、該2次元画像を3次元座標に変換する座標変換手段103と、該2次元画像の内の動きを加えたい一部又は全部の画像に1又は2以上の同一又は異なる3次元の速度場を設定する動き設定手段104と、偏微分方程式(3次元移流方程式)を用いて前記動きを加えたい画像を前記速度場に応じて変形する動画化の計算を行い時間発展したデータを得る動画化計算手段105と、結果を表示する表示手段106とを備える。   An embodiment of the device configuration for realizing this is shown in FIG. The apparatus includes a data input unit 101 that captures a two-dimensional image that has already been captured through a camera, a data storage unit 102 that stores the captured image, and a coordinate conversion that converts the two-dimensional image into three-dimensional coordinates. Means 103, motion setting means 104 for setting one or two or more same or different three-dimensional velocity fields in a part or all of the images to be subjected to motion in the two-dimensional image, and partial differential equations (three-dimensional A moving image calculation means 105 that obtains time-developed data by calculating a moving image that deforms the image to be added according to the velocity field using an advection equation), and a display means 106 that displays the result. .

これらの手段は、演算処理装置、外部記憶装置、メモリ等を備えたコンピュータにより実現できるものであり、本実施例の格子点モデル変形・移動の処理はプログラムによって実効される。このプログラムはコンピュータの外部記憶装置に記憶されており、記録媒体に記録することも、ネットワークを介して提供することも可能である。   These means can be realized by a computer having an arithmetic processing unit, an external storage device, a memory, and the like, and the lattice point model deformation / movement processing of this embodiment is executed by a program. This program is stored in an external storage device of a computer, and can be recorded on a recording medium or provided via a network.

このプログラムは、カメラを通じてあるいは既に撮影された1枚の2次元画像を取り込むステップと、該2次元画像を3次元座標に変換するステップと、前記2次元画像の内の動きを加えたい一部又は全部の画像に1又は2以上の同一又は異なる3次元の速度場を設定するステップと、偏微分方程式(3次元移流方程式)を用いて前記動きを加えたい画像を前記速度場に応じて変形する動画化の計算を行い時間発展したデータを得るステップと、を備える。   The program includes a step of capturing a two-dimensional image that has already been photographed through a camera or a step, a step of converting the two-dimensional image into a three-dimensional coordinate, The step of setting one or two or more same or different three-dimensional velocity fields in all the images and the partial differential equation (three-dimensional advection equation) are used to transform the image to which the motion is to be added according to the velocity field. And a step of calculating animation to obtain time-developed data.

図2は2次元画像を3次元座標に変換し、画像の一部に3次元速度場を設定した例の説明図である。2次元の画像に、弱透視投影や平行透視投影の考え方(参考文献:OpenCVプログラミングブック製作チーム、「OpenCV」、毎日コミュニケーションズ、111頁、2007年9月21日)を当てはめることで、奥行きについての3次元情報を加味できるようにする。図2(a)に示す1枚の2次元画像(上空から雲を見た図)に、マウスを使って、予め用意されている複数の3次元の速度場から1つをGUIのメニューによって選択して設定する。ここでは渦場201を選択した。図2(b)に示す2次元画像は3次元座標系に変換されている。この後、画像と速度場の双方をなじませた画像とし、次に、偏微分方程式として3次元移流方程式を使って、速度場(渦場201)にしたがって、図2(c)に示すように画像を変形させていくと、図3(d)、(e)に示すように、時間発展した動画を容易につくることができる。図3(e)では図3(d)の雲の一部が速度場に応じて変形している。なお、3次元の速度場は、2次元画像の内の動きを加えたい一部のみならず、全部の画像に設定することができる。また、1つの3次元の速度場に限られず、2以上の同一又は異なる3次元の速度場を異なる領域に設定することもできる。   FIG. 2 is an explanatory diagram of an example in which a two-dimensional image is converted into three-dimensional coordinates and a three-dimensional velocity field is set in a part of the image. By applying the concept of weak perspective projection and parallel perspective projection (reference: OpenCV programming book production team, “OpenCV”, Mainichi Communications, 111 pages, September 21, 2007) to a two-dimensional image. Enable to add 3D information. Use the mouse to select one of the two-dimensional images shown in Fig. 2 (a) from the 3D velocity field prepared in advance using the GUI menu. And set. Here, the vortex field 201 is selected. The two-dimensional image shown in FIG. 2B is converted into a three-dimensional coordinate system. After this, the image and the velocity field are blended, and then the three-dimensional advection equation is used as the partial differential equation, and according to the velocity field (vortex field 201), as shown in FIG. If the image is deformed, a time-developed moving image can be easily created as shown in FIGS. 3 (d) and 3 (e). In FIG. 3 (e), part of the cloud in FIG. 3 (d) is deformed according to the velocity field. Note that the three-dimensional velocity field can be set not only for a part of the two-dimensional image to which a motion is desired but also for all the images. Further, the present invention is not limited to one three-dimensional velocity field, and two or more same or different three-dimensional velocity fields can be set in different regions.

3次元移流方程式は、

Figure 0005008772
と表される。tは時間、x、yは画素上の位置、zは奥行き、u=(u,v,w)は速度ベクトル項である。画像濃淡値Ii,j,kがベクトルuによって移流式により画像に伝播される。 The three-dimensional advection equation is
Figure 0005008772
It is expressed. t is time, x and y are positions on a pixel, z is depth, and u = (u, v, w) is a velocity vector term. The image gray values I i, j, k are propagated to the image by the advection equation by the vector u.

移流方程式は、次の式(2)のように、有限差分法による離散化表現により時間発展解を求めることで、画像が段階的に外部から内部へ伝播する。初期画像は外部の既知領域である。

Figure 0005008772
ここで、nは離散化時間を表し、n=0を初期値とする。Δtは時間ステップ幅で1.0とした。右辺は空間の1次微分である。なお、格子幅は1.0とした。 In the advection equation, an image is propagated stepwise from the outside to the inside by obtaining a time evolution solution by a discretization expression by the finite difference method as in the following equation (2). The initial image is an external known area.
Figure 0005008772
Here, n represents the discretization time, and n = 0 is an initial value. Δt is 1.0 in terms of time step width. The right side is the first derivative of space. The lattice width was 1.0.

2次元画像を3次元座標に変換することで、2次元画像上で、遠くの速度と手前の速度とが、奥行き情報に基づいて非線形に自然に変換される。これまでは2次元速度場のままだったため、このような動画化は困難であった。   By converting the two-dimensional image into the three-dimensional coordinates, the far speed and the near speed are naturally converted nonlinearly on the two-dimensional image based on the depth information. Until now, it has been a two-dimensional velocity field, so such animation has been difficult.

図3は3次元速度場の例の説明図である。図3(a)は渦場、図3(b)は発散場を示す。ユーザはマウスを使って、GUIのメニューを利用して、自在にその大きさや密度を変更できる。また、これ以外の自由曲線も3次元的に設定できる。流体現象に限らず、顔変形なども適用できる。   FIG. 3 is an explanatory diagram of an example of a three-dimensional velocity field. 3 (a) shows the vortex field, and FIG. 3 (b) shows the divergent field. The user can freely change the size and density by using the mouse and using the GUI menu. Other free curves can also be set three-dimensionally. Not only fluid phenomenon but also face deformation can be applied.

図4はカメラ401,402で撮像した映像から動き推定法より動きベクトル(3次元速度場)を検出する例の説明図である。映像中で、手403,404を動かして、3次元的な動き情報を得ることができる(参考文献:徐剛、辻三郎、「3次元ビジョン」、共立出版、112−113頁、2001)。405は動きベクトルである。このように、2台のカメラ401,402を用いることで、奥行き情報を容易に獲得できる。つまり、オプティカルフローを3次元的に得ることができる。これを入力情報としてGUIメニューで選択できるように保存しておき、3次元の速度場として適用することで、2次元画像中の一部または全部の画像をユーザの意思に沿って複雑な動きを行わせるように動画化することができる。   FIG. 4 is an explanatory diagram of an example in which a motion vector (three-dimensional velocity field) is detected from the images captured by the cameras 401 and 402 by a motion estimation method. By moving the hands 403 and 404 in the video, it is possible to obtain three-dimensional motion information (reference: Xugang, Saburo Tsubame, “3D Vision”, Kyoritsu Shuppan, pages 112-113, 2001). Reference numeral 405 denotes a motion vector. Thus, depth information can be easily acquired by using the two cameras 401 and 402. That is, an optical flow can be obtained three-dimensionally. This is stored as input information so that it can be selected on the GUI menu, and by applying it as a three-dimensional velocity field, some or all of the images in the two-dimensional image are subjected to complicated movements according to the user's intention. It can be animated to make it happen.

本発明の装置構成の実施例のブロック図である。It is a block diagram of the Example of the apparatus structure of this invention. 2次元画像に3次元座標系を当てはめ、3次元の速度場を設定し、時間展開した画像を得る説明図である。It is explanatory drawing which sets the three-dimensional coordinate system to the two-dimensional image, sets the three-dimensional velocity field, and obtains the image developed in time. 3次元の速度場の例を示す説明図である。It is explanatory drawing which shows the example of a three-dimensional velocity field. カメラで撮像した2次元画像から動き推定法より3次元の速度場を検出する説明図である。It is explanatory drawing which detects a 3-dimensional velocity field from the 2-dimensional image imaged with the camera by the motion estimation method.

101:データ入力手段、102:データ蓄積手段、103:座標変換手段、104:動き設定手段、105:動画化計算手段、106:表示手段
201:渦場
401,402:カメラ、403:404:手、405:動きベクトル
101: Data input means, 102: Data storage means, 103: Coordinate conversion means, 104: Motion setting means, 105: Animation calculation means, 106: Display means 201: Vortex field 401, 402: Camera, 403: 404: Hand 405: Motion vector

Claims (3)

動画化装置により、1枚の2次元画像を取り込んで蓄積し、該取り込んだ2次元画像を遠くの速度と手前の速度とが奥行き情報に基づいて非線形になるように3次元座標に変換し、前記2次元画像の内の動きを加えたい一部又は全部の画像に1又は2以上の同一又は異なる3次元の速度場を、奥行きを算出する項を加えた3次元移流方程式
Figure 0005008772
により設定し、
Figure 0005008772
の有限差分法による離散化表現により時間発展解を求めることで、前記動きを加えたい画像を前記速度場に応じて変形する、
ことを特徴とする静止画の動画化方法。
An animation device captures and accumulates a single 2D image, converts the captured 2D image into 3D coordinates so that the distant speed and the near speed become nonlinear based on depth information, A three-dimensional advection equation in which one or two or more same or different three-dimensional velocity fields are added to a part or all of the two-dimensional images to which motion is to be added, and a term for calculating the depth is added.
Figure 0005008772
Set by
Figure 0005008772
By transforming the image to which the motion is to be added according to the velocity field by obtaining a time evolution solution by a discretized representation by the finite difference method of
A still image animation method characterized by the above.
1枚の2次元画像を取り込むデータ入力手段と、
該取り込んだ2次元画像を蓄積するデータ蓄積手段と、
前記取り込んだ2次元画像を遠くの速度と手前の速度とが奥行き情報に基づいて非線形になるように3次元座標に変換する座標変換手段と、
前記2次元画像の内の動きを加えたい一部又は全部の画像に1又は2以上の同一又は異なる3次元の速度場を、奥行きを算出する項を加えた3次元移流方程式
Figure 0005008772
により設定する動き設定手段と、
Figure 0005008772
の有限差分法による離散化表現により時間発展解を求めることで、前記動きを加えたい画像を前記速度場に応じて変形するデータを得る動画化計算手段と、
を備えることを特徴とする静止画の動画化装置。
Data input means for capturing a single two-dimensional image;
Data storage means for storing the captured two-dimensional image;
Coordinate conversion means for converting the captured two-dimensional image into three-dimensional coordinates so that the distant speed and the near speed become nonlinear based on the depth information;
A three-dimensional advection equation in which one or two or more same or different three-dimensional velocity fields are added to a part or all of the two-dimensional images to which motion is to be added, and a term for calculating the depth is added.
Figure 0005008772
Movement setting means set by
Figure 0005008772
An animation calculation means for obtaining data for deforming the image to which the motion is to be added according to the velocity field by obtaining a time evolution solution by a discretization expression of the finite difference method of
An apparatus for converting a still image into a moving image.
1枚の2次元画像を取り込むデータ入力ステップと、
該取り込んだ2次元画像を蓄積するデータ蓄積ステップと、
前記取り込んだ2次元画像を遠くの速度と手前の速度とが奥行き情報に基づいて非線形になるように3次元座標に変換する座標変換ステップと、
前記2次元画像の内の動きを加えたい一部又は全部の画像に1又は2以上の同一又は異なる3次元の速度場を、奥行きを算出する項を加えた3次元移流方程式
Figure 0005008772
により設定する動き設定ステップと、
Figure 0005008772
の有限差分法による離散化表現により時間発展解を求めることで、前記動きを加えたい画像を前記速度場に応じて変形するデータを得る動画化計算ステップと、
コンピュータに実行させるための静止画の動画化プログラム。
A data input step for capturing one two-dimensional image;
A data蓄Sekisu step of storing a two-dimensional image captured said,
Coordinate variable 換Su steps of converting the 3-dimensional coordinates to be non-linear based on distant velocity and before the speed and the depth information a two-dimensional image captured above,
A three-dimensional advection equation in which one or two or more same or different three-dimensional velocity fields are added to a part or all of the two-dimensional images to which motion is to be added, and a term for calculating the depth is added.
Figure 0005008772
A motion setting step set by
Figure 0005008772
An animation calculation step for obtaining data for transforming the image to which the motion is to be added according to the velocity field by obtaining a time evolution solution by a discretized representation by the finite difference method of
A still image animation program that allows a computer to execute the program.
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