From 56e1fb7821ee77af74961342e195b9c56e13b55d Mon Sep 17 00:00:00 2001 From: Rory Smith Date: Mon, 19 Mar 2018 12:24:13 +0000 Subject: [PATCH 1/2] Added support for projective warp via full homogeneous coordinates. --- README.md | 21 ++++++++++------ Sanity Check.ipynb | 13 ++++++---- img/after_2.png | Bin 0 -> 680360 bytes img/projective.png | Bin 0 -> 21253 bytes transformer.py | 59 ++++++++++++++++++++++++++++++++++----------- 5 files changed, 67 insertions(+), 26 deletions(-) create mode 100644 img/after_2.png create mode 100644 img/projective.png diff --git a/README.md b/README.md index fc0deec..e2e4099 100644 --- a/README.md +++ b/README.md @@ -16,9 +16,9 @@ This is a **Tensorflow** implementation of [Spatial Transformer Networks](https: The STN is composed of 3 elements. -- **localization network**: takes the feature map as input and outputs the parameters of the affine transformation that should be applied to that feature map. +- **localization network**: takes the feature map as input and outputs the parameters of the transformation that should be applied to that feature map. -- **grid generator:** generates a grid of (x,y) coordinates using the parameters of the affine transformation that correspond to a set of points where the input feature map should be sampled to produce the transformed output feature map. +- **grid generator:** generates a grid of (x,y) coordinates using the parameters of the transformation that correspond to a set of points where the input feature map should be sampled to produce the transformed output feature map. - **bilinear sampler:** takes as input the input feature map and the grid generated by the grid generator and produces the output feature map using bilinear interpolation. @@ -36,13 +36,20 @@ It can be constrained to one of *attention* by writing it in the form where the parameters `s`, `t_x` and `t_y` can be regressed to allow cropping, translation, and isotropic scaling. +A more general projective transformation can also be specified through the transformation matrix B + +

+ +

+ ## Explore -Run the [Sanity Check](https://github.com/kevinzakka/spatial-transformer-network/blob/master/Sanity%20Check.ipynb) to get a feel of how the spatial transformer can be plugged into any existing code. For example, here's the result of a 45 degree rotation: +Run the [Sanity Check](https://github.com/kevinzakka/spatial-transformer-network/blob/master/Sanity%20Check.ipynb) to get a feel of how the spatial transformer can be plugged into any existing code. For example, here's the result of a 45 degree rotation and a projective warp:

- Drawing - Drawing + Drawing + Drawing + Drawing

## API @@ -56,12 +63,12 @@ out = spatial_transformer_network(input_feature_map, theta, out_dims) **Parameters** - `input_feature_map`: the output of the layer preceding the localization network. If the STN layer is the first layer of the network, then this corresponds to the input images. Shape should be (B, H, W, C). -- `theta`: this is the output of the localization network. Shape should be (B, 6) +- `theta`: this is the output of the localization network. Shape should be (B, X) where X is the number of free parameters (usually 6 or 8). - `out_dims`: desired (H, W) of the output feature map. Useful for upsampling or downsampling. If not specified, then output dimensions will be equal to `input_feature_map` dimensions. **Note** -You must define a localization network right before using this layer. The localization network is usually a ConvNet or a FC-net that has 6 output nodes (the 6 parameters of the affine transformation). +You must define a localization network right before using this layer. The localization network is usually a ConvNet or a FC-net that has 6 output nodes (the 6 parameters of an affine transformation). You need to initialize the localization network to the identity transform before starting the training process. Here's a small sample code for illustration purposes. diff --git a/Sanity Check.ipynb b/Sanity Check.ipynb index 73abbaa..da76e1a 100644 --- a/Sanity Check.ipynb +++ b/Sanity Check.ipynb @@ -120,7 +120,10 @@ "theta = np.array([[np.cos(angleRad), -np.sin(angleRad), 0], [np.sin(angleRad), np.cos(angleRad), 0]])\n", "\n", "# # identity transform\n", - "# theta = np.array([[1., 0, 0], [0, 1., 0]])" + "# theta = np.array([[1., 0, 0], [0, 1., 0]])\n", + "\n", + "# # perspective transform\n", + "# theta = np.array([[1, 0, 0], [0, 1, 0], [0.6, 0, 1]])" ] }, { @@ -134,13 +137,13 @@ "# create localisation network and convolutional layer\n", "with tf.variable_scope('spatial_transformer_0'):\n", "\n", - " # create a fully-connected layer with 6 output nodes\n", - " n_fc = 6\n", - " W_fc1 = tf.Variable(tf.zeros([H*W*C, n_fc]), name='W_fc1')\n", - "\n", " # affine transformation\n", " theta = theta.astype('float32')\n", " theta = theta.flatten()\n", + " \n", + " # create a fully-connected layer with the correct number of output nodes\n", + " n_fc = theta.shape[0]\n", + " W_fc1 = tf.Variable(tf.zeros([H*W*C, n_fc]), name='W_fc1')\n", "\n", " b_fc1 = tf.Variable(initial_value=theta, name='b_fc1')\n", " h_fc1 = tf.matmul(tf.zeros([B, H*W*C]), W_fc1) + b_fc1\n", diff --git a/img/after_2.png b/img/after_2.png new file mode 100644 index 0000000000000000000000000000000000000000..18d0b04dbb7d0c855beeeb2a93dcd724fff5ed03 GIT binary patch literal 680360 zcmeFYbySb z%X{AQz4!ap;rxI9xLHruO6HlpXJ*fD%j}s6Q~*i5#2~>yK|y&bB`L0ig7PHd{(Jij z{l4UM8rvBK89Uy{(D4l`#s6WMFLkQx#kl6=#YLpI#5WST3?-Q2()yxCm%-{bvZC}2!uv<24C1Dy`wVWYE4gFd%5-E zJ&Fiwzy{t6;vw2T9OF)xuu5*3cjlODqwn=>KA*g!$264)+mtvyPt<>t?W&e*_ZV9L zHF=Gcn;`o4G3K`y>LhN|Ko$U~2+w+Gt;=6D&Tk|T(L*{mpdl6=EAXQr zGHY$Bo)Dr?C}Vx%ZRD71ci86o$Iu$Yz;{ep0QSt9gPOuO6(A2yPw0<0iw--SN6o(2 zpC7$q?)}Uo`LwzAcFyZuMr-Y8=pIiFuPFqa*%Kb*U6sy+0#9H zviLrEd3!rbf2g&BXaT3Fwxi{XdI6;cl(-)79%}tZQqazsk4IqpMlaJ$XTGlCx&l}M 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za=AWSL(i746@ykV5p2{(&d7ip2MvcG+y4OkMU%grIT85r{pO&bs5GYgQ_wGiZ-Oe7 zfy%(*V89>TJPG(~I)C9fooz6E6W|YDRssH^vdR)-ASX}_$v;4L7_)WXvV=IRU9Ai( zRt8FA@lHB9+jSuMud3fj7ORTP+%HcSif$C56Vc~k9`(f&O#T62pR6^yGEf 2D (divide by w) + x_s = batch_grids[:, 0, :, :] / batch_grids[:, 2, :, :] + y_s = batch_grids[:, 1, :, :] / batch_grids[:, 2, :, :] - return batch_grids + return x_s, y_s def bilinear_sampler(img, x, y): """ From 91bca6f9a8279a6a35d57a25824688dbc1a9066b Mon Sep 17 00:00:00 2001 From: Rory Smith Date: Mon, 19 Mar 2018 12:34:16 +0000 Subject: [PATCH 2/2] Increase clarity in readme --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index e2e4099..fb3192e 100644 --- a/README.md +++ b/README.md @@ -44,7 +44,7 @@ A more general projective transformation can also be specified through the trans ## Explore -Run the [Sanity Check](https://github.com/kevinzakka/spatial-transformer-network/blob/master/Sanity%20Check.ipynb) to get a feel of how the spatial transformer can be plugged into any existing code. For example, here's the result of a 45 degree rotation and a projective warp: +Run the [Sanity Check](https://github.com/kevinzakka/spatial-transformer-network/blob/master/Sanity%20Check.ipynb) to get a feel of how the spatial transformer can be plugged into any existing code. For example, here's the result of a 45 degree rotation and a separate projective warp:

Drawing