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b/src/year2/machine-learning-for-computer-vision/ml4cv.tex @@ -14,5 +14,6 @@ \include{./sections/_transformers.tex} \include{./sections/_object_detection.tex} \include{./sections/_segmentation.tex} + \include{./sections/_depth_estimation.tex} \end{document} \ No newline at end of file diff --git a/src/year2/machine-learning-for-computer-vision/sections/_depth_estimation.tex b/src/year2/machine-learning-for-computer-vision/sections/_depth_estimation.tex new file mode 100644 index 0000000..3307f69 --- /dev/null +++ b/src/year2/machine-learning-for-computer-vision/sections/_depth_estimation.tex @@ -0,0 +1,121 @@ +\chapter{Depth estimation} + + +\begin{description} + \item[Stereo correspondence] \marginnote{Stereo correspondence} + Given an ideal stereo setup, the depth of each point in the world can be obtained by solving a correspondence problem along rows. Given two points $(u_L, v_L)$ and $(u_R, v_R=v_L)$ in the left and right image, respectively, representing the projection of the same 3D point, its distance $z$ from the camera can be determined using the disparity $d$: + \[ + \begin{gathered} + d = u_L - u_R \\ + z = \frac{bf}{d} + \end{gathered} + \] + where $b$ is the baseline (i.e., camera distance) and $f$ is the focal length. + + \begin{figure}[H] + \centering + \includegraphics[width=0.65\linewidth]{./img/stereo_correspondence.png} + \end{figure} +\end{description} + +\begin{remark} + Due to the lack of data, existing models are trained on synthetic data and fine-tuned afterwards on real data. +\end{remark} + + + +\section{Monocular depth estimation} + +\begin{description} + \item[Monocular (single-view) depth estimation] \marginnote{Monocular (single-view) depth estimation} + Reconstruct the 3D structure of a scene from a single image. + + \begin{remark} + In principle, this is an ill-posed problem. However, humans are able to solve it through learning. + \end{remark} +\end{description} + + +\begin{remark} + Traditional supervised frameworks (e.g., encoder-decoder) to solve monocular depth estimation have some limitations: + \begin{itemize} + \item They require a large amount of realistic synthetic data. + \item They require expensive hardware for depth measurement when fine-tuning on real data. + \end{itemize} +\end{remark} + + +\subsection{Monodepth} + +\begin{description} + \item[Supervised stereo pipeline] \marginnote{Supervised stereo pipeline} + \phantom{} + \begin{description} + \item[Naive approach] + A possible solution for depth estimation is to feed a CNN with a pair of synchronized images and make it predict the left (or right) disparity. However, this approach requires to know the ground-truth disparity, which is expensive to obtain. + + \begin{figure}[H] + \centering + \includegraphics[width=0.7\linewidth]{./img/_stereo_pipeline_naive.pdf} + \end{figure} + + \item[Reconstruction approach] + Make the model predict the left disparity which is then used to reconstruct the right image. This works as a pixel $(u, v)$ in the left image with disparity $\tilde{d}$ should appear as the same to the pixel $(u+\tilde{d}, v)$ in the right image. + + \begin{figure}[H] + \centering + \includegraphics[width=0.45\linewidth]{./img/_stereo_pipeline_reconstruction.pdf} + \end{figure} + \end{description} +\end{description} + +\begin{description} + \item[Monodepth] + Network that takes as input the left (or right) image of a stereo vision system and predicts the left (or right) disparity. + + \begin{description} + \item[Training (naive)] + Once the left disparity has been predicted, it is used to reconstruct the right image. + + \begin{figure}[H] + \centering + \includegraphics[width=0.8\linewidth]{./img/_monodepth_naive.pdf} + \caption{Naive training flow} + \end{figure} + + \begin{remark} + Forward mapping creates holes and is ambiguous as disparities are non-integer values. + \end{remark} + + \begin{description} + \item[(Backward) bilinear sampling] + Compute the right image by determining each pixel of the output backwards and by interpolating it in the left image. + + \begin{remark} + By reconstructing the right image backwards, the estimated disparity will be with respect to the right image, which is not available during inference. + \end{remark} + + \begin{figure}[H] + \centering + \includegraphics[width=0.65\linewidth]{./img/_monodepth_train_naive.pdf} + \caption{Backward reconstruction from the right image} + \end{figure} + \end{description} + + \item[Training (correct)] + Once the left disparity has been predicted, it is used to reconstruct the left image by backward mapping from the right image (which is available at train time). + + \begin{figure}[H] + \centering + \includegraphics[width=0.65\linewidth]{./img/_monodepth_train_correct.pdf} + \caption{Backward reconstruction from the left image} + \end{figure} + + \begin{figure}[H] + \centering + \includegraphics[width=0.7\linewidth]{./img/_monodepth_correct.pdf} + \caption{Actual training flow} + \end{figure} + \end{description} + +\end{description} \ No newline at end of file diff --git a/src/year2/machine-learning-for-computer-vision/sections/_object_detection.tex b/src/year2/machine-learning-for-computer-vision/sections/_object_detection.tex index f970a5d..bea97ce 100644 --- a/src/year2/machine-learning-for-computer-vision/sections/_object_detection.tex +++ b/src/year2/machine-learning-for-computer-vision/sections/_object_detection.tex @@ -1131,7 +1131,7 @@ \begin{subappendices} - \section{EfficientDet} + \section{Appendix: EfficientDet} \begin{remark} When working with object detection, there are many options to scale a model: \begin{descriptionlist} diff --git a/src/year2/machine-learning-for-computer-vision/sections/_segmentation.tex b/src/year2/machine-learning-for-computer-vision/sections/_segmentation.tex index da9591b..8607840 100644 --- a/src/year2/machine-learning-for-computer-vision/sections/_segmentation.tex +++ b/src/year2/machine-learning-for-computer-vision/sections/_segmentation.tex @@ -406,4 +406,261 @@ \caption{DeepLab v3+} \end{subfigure} \end{figure} -\end{description} \ No newline at end of file +\end{description} + + + +\section{Instance segmentation} + +\begin{description} + \item[Instance segmentation] \marginnote{Instance segmentation} + Task of segmenting and classifying all instances of the objects of interest (i.e., intersection between object detection and semantic segmentation). + + \begin{figure}[H] + \centering + \includegraphics[width=0.7\linewidth]{./img/obj_detection_and_segmentation.png} + \end{figure} +\end{description} + + +\subsection{Mask R-CNN} + +\begin{description} + \item[Mask R-CNN] \marginnote{Mask R-CNN} + Architecture based on faster R-CNN with a modification to RoI pool and the addition of a CNN head to predict the segmentation mask. + + \begin{description} + \item[RoI align] \marginnote{RoI align} + Modification to RoI pool to avoid quantization. It works as follows: + \begin{enumerate} + \item Divide the proposal into equal subregions without snapping to grid. + \begin{figure}[H] + \centering + \includegraphics[width=0.7\linewidth]{./img/_roi_align1.pdf} + \end{figure} + \item Sample some values following a regular grid within each subregion. Use bilinear interpolation to determine the values of the sampled points (as they are most likely not be pixel-perfect). + \begin{figure}[H] + \centering + \includegraphics[width=0.7\linewidth]{./img/_roi_align2.pdf} + \end{figure} + \item Max or average pool the sampled values in each subregion. + \begin{figure}[H] + \centering + \includegraphics[width=0.7\linewidth]{./img/_roi_align3.pdf} + \end{figure} + \end{enumerate} + + \item[Mask head] \marginnote{Mask head} + Fully-convolutional network that takes the output of RoI align and predicts a binary mask with resolution $28 \times 28$ for each class. It is composed of convolutions, a transposed convolution, and a scoring layer. + + In practice, the bounding box predicted by the standard R-CNN flow is used to determine how to warp the segmentation mask onto the original image. + + \begin{remark} + Empirical experiments show that solving a multi-label problem (i.e., multiple sigmoids) is better than a multi-class problem (i.e., softmax). + \end{remark} + + \begin{figure}[H] + \centering + \includegraphics[width=0.85\linewidth]{./img/_mask_rcnn_head.pdf} + \end{figure} + \end{description} + + \begin{figure}[H] + \centering + \includegraphics[width=0.85\linewidth]{./img/_mask_rcnn.pdf} + \caption{Overall architecture of mask R-CNN} + \end{figure} + + \begin{description} + \item[Training] + The R-CNN flow is trained in the standard way. + + Given the ground-truth class $c$ and mask $m$, and the predicted mask $\hat{m}$, the mask head is trained using the following loss: + \[ \mathcal{L}_\text{mask}(c, m) = \frac{1}{28 \times 28} \sum_{u=0}^{27} \sum_{v=0}^{27} \mathcal{L}_\text{BCE}\left( \hat{m}_{c}[u, v], m[u, v] \right) \] + In other words, the ground-truth mask is compared against the predicted mask for the correct class. + + \item[Inference] + The class prediction of R-CNN is used to select the correct channel of the mask head. The bounding box of R-CNN is used to decide how to warp the segmentation mask onto the image. + \end{description} +\end{description} + +\begin{remark} + By attaching a different head to predict keypoints, this framework can be adapted for human pose estimation. +\end{remark} + + + +\section{Panoptic segmentation} + +\begin{description} + \item[Things] \marginnote{Things} + Countable object categories that can be split into individual instances. + + \item[Stuff] \marginnote{Stuff} + Uncountable amorphous regions (e.g., background) + + \item[Panoptic segmentation] \marginnote{Panoptic segmentation} + Task of classifying each pixel of the image. Objects of interest (i.e., things) are treated as in instance segmentation. Background and non-relevant textures (i.e., stuff) are treated as in semantic segmentation. + + \begin{figure}[H] + \centering + \includegraphics[width=0.5\linewidth]{./img/segmentation_types.png} + \end{figure} +\end{description} + + +\subsection{Panoptic feature pyramid network} + +\begin{description} + \item[Panoptic feature pyramid network] \marginnote{Panoptic feature pyramid network} + Modification of mask R-CNN with an additional path for stuff prediction that works as follows: + \begin{enumerate} + \item Rescale and merge FPN feature maps. + \item Pass the result through a fully-convolutional network to predict stuff masks. + \end{enumerate} + + When generating the predictions, the mask head (for things prediction) has the priority over the stuff head. + + \begin{figure}[H] + \centering + \includegraphics[width=0.85\linewidth]{./img/_panoptic_fpn.pdf} + \end{figure} +\end{description} + + +\subsection{MaskFormer} + +\begin{remark} + With convolutions, semantic segmentation has been solved by classifying each pixel into a class. On the other hand, instance and panoptic segmentation partition the image into masks and classify them. + + It is intuitive to show that solving a mask classification problem can solve all types of segmentation. +\end{remark} + +\begin{description} + \item[MaskFormer] \marginnote{MaskFormer} + Modification of DETR for pixel-wise predictions. + + \begin{description} + \item[Architecture (naive)] + An additional path is inserted at the output of the transformer decoder that passes each of its output into a multi layer perceptron to predict a binary mask. + + \begin{remark} + This approach attempts to predict full-resolution masks from spatially coarse features. + \end{remark} + + \begin{figure}[H] + \centering + \includegraphics[width=0.75\linewidth]{./img/_maskformer_naive.pdf} + \end{figure} + + \item[Architecture (pixel decoder)] + The following operations are added: + \begin{enumerate} + \item A pixel decoder is used to compute pixel-wise embeddings from the output of the CNN backbone. + \item An MLP is added to compute mask embeddings from the outputs of the transformer decoder. + \item The dot product between mask and pixel embeddings allows to compute the output binary masks. + \end{enumerate} + + \begin{figure}[H] + \centering + \includegraphics[width=0.75\linewidth]{./img/_maskformer_decoder.pdf} + \end{figure} + + \item[Inference] + Given the output class probabilities $\vec{p}_1, \dots, \vec{p}_N$ and masks $\matr{m}_1, \dots, \matr{m}_N$, inference is done as follows: + \begin{enumerate} + \item Determine the class $c_i$ of the $i$-th mask from the distribution $\vec{p}_i$. + \item Classify each pixel $(u, v)$ as follows: + \begin{enumerate} + \item For each mask $i$ that is not background, compute the following score: + \[ s_i = \vec{p}_i(c_i) \cdot \matr{m}_i(u, v) \] + \item Select the mask with the highest score $s_i$ as the one associated to the pixel. + \end{enumerate} + \end{enumerate} + + \begin{remark} + Up-sampling might be needed to match the shape of the mask to the original image. + \end{remark} + + \begin{figure}[H] + \centering + \includegraphics[width=0.8\linewidth]{./img/_maskformer_inference.pdf} + \end{figure} + \end{description} + + \begin{remark} + Although it is able to solve all types of segmentation, MaskFormer do not have state-of-the-art results and it is hard to train. + \end{remark} +\end{description} + + +\subsection{Masked-attention mask transformer (Mask2Former)} + +\begin{description} + \item[Mask2Former] \marginnote{Mask2Former} + Modification of MaskFormer with the addition of: + \begin{itemize} + \item Masked attention in the transformer decoder for faster training and better results. + \item Multi-scale high-resolution features in the pixel-decoder for multi-scale detection. + \item Training speed-up by not supervising all pixels (i.e., not all pixels of the mask are trained at once, like a sort of dropout). + \end{itemize} + + \begin{figure}[H] + \centering + \includegraphics[width=0.45\linewidth]{./img/_mask2former.pdf} + \end{figure} +\end{description} + + + +\begin{subappendices} + +\section{Appendix: Spatial pyramid pooling layer} + \begin{description} + \item[Spatial pyramid pooling layer (SPP)] \marginnote{Spatial pyramid pooling layer (SPP)} + Method to obtain a representation with a fixed-resolution containing different scales. + + The input image is first passed through the CNN backbone. Then, the feature map is max-pooled with a fixed number of variable-size windows before being flattened. + + \begin{remark} + This can be seen as an extension of global average pooling to preserve spatially localized information. + \end{remark} + + \begin{figure}[H] + \centering + \includegraphics[width=0.5\linewidth]{./img/_spp.pdf} + \end{figure} + \end{description} + + + \subsection{DeepLab v2 ASPP} + + ASPP in DeepLab v2 emulates SPP through dilated convolutions with increasing rate that are concatenated and aggregated through a $1 \times 1$ convolution. + + \begin{figure}[H] + \centering + \includegraphics[width=0.5\linewidth]{./img/aspp_deeplabv2.png} + \end{figure} + + \begin{remark} + When the dilation rate grows, the actual number of relevant weights that are not applied to the padding decreases. + + \begin{figure}[H] + \centering + \includegraphics[width=0.8\linewidth]{./img/_dilated_conv_weights.pdf} + \end{figure} + \end{remark} + + + \subsection{DeepLab v3 ASPP} + + ASPP on DeepLab v3 is formed by dilated convolutions and a path that computes global image features to emulate larger dilation rates (i.e., avoid wasting computation on padding with dilated convolutions with a large rate). + + \begin{figure}[H] + \centering + \includegraphics[width=0.75\linewidth]{./img/_deeplabv3_aspp.pdf} + \caption{ + ASPP with stride-16. With stride-8, rates are doubled. + } + \end{figure} +\end{subappendices}