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main.tex
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main.tex
@ -224,19 +224,22 @@ In recent years, fueled by advancements in deep learning and the availability of
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\begin{subfigure}{\subwidth}
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\begin{subfigure}{\subwidth}
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\includegraphics[width=\imgwidth, height=\imgheight]{thsis_figure/view_nms/all2_gt.jpg}
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\includegraphics[width=\imgwidth, height=\imgheight]{thsis_figure/view_nms/all2_gt.jpg}
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\caption{GT}
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\end{subfigure}
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\end{subfigure}
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\begin{subfigure}{\subwidth}
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\begin{subfigure}{\subwidth}
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\includegraphics[width=\imgwidth, height=\imgheight]{thsis_figure/view_nms/all2_pred50.jpg}
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\includegraphics[width=\imgwidth, height=\imgheight]{thsis_figure/view_nms/all2_pred50.jpg}
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\caption{NMS50}
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\end{subfigure}
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\begin{subfigure}{\subwidth}
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\begin{subfigure}{\subwidth}
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\includegraphics[width=\imgwidth, height=\imgheight]{thsis_figure/view_nms/all2_pred15.jpg}
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\includegraphics[width=\imgwidth, height=\imgheight]{thsis_figure/view_nms/all2_pred15.jpg}
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\caption{NMS15}
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\end{subfigure}
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\end{subfigure}
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\begin{subfigure}{\subwidth}
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\begin{subfigure}{\subwidth}
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\includegraphics[width=\imgwidth, height=\imgheight]{thsis_figure/view_nms/all2_nmsfree.jpg}
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\includegraphics[width=\imgwidth, height=\imgheight]{thsis_figure/view_nms/all2_nmsfree.jpg}
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\caption{NMSFree}
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\end{subfigure}
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\end{subfigure}
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\vspace{0.5em}
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\vspace{0.5em}
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\caption{hhh}
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\caption{hhh}
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\end{figure*}
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\end{figure*}
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@ -339,7 +342,6 @@ In recent years, fueled by advancements in deep learning and the availability of
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\end{subfigure}
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\end{subfigure}
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\vspace{0.5em}
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\vspace{0.5em}
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\caption{hhh}
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\caption{hhh}
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\end{figure*}
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\end{figure*}
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@ -399,18 +401,18 @@ Lanes are thin and long curves, a suitable lane prior helps the model to extract
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\textbf{Polar Coordinate system.} Since the lane anchor are set to be straight by default, it could be described by the straight line parameter. Previous work uses a ray to describe a 2D line anchor, and the parameters of a ray contain the start point's coordinates and the orientation/angle, i.e., $\left\{\theta, P_{xy}\right\}$, as shown in Figure \ref{coord} (a). \cite{}\cite{} define the start points locates on the three image boundary. And \cite{} points out that this not reasonable because the real start point of a lane could be in any location within an image. In our analysis, using a ray may cause ambiguity in describing a line because a line may have infinite start points and the start point of the lane is subjective. As illustrated in Figure \ref{coord} (a), the yellow and darkgreen start points with the same orientation $\theta$ describe the same line, and either of them could be chosen in different datasets. This ambiguity arises because a straight line has two degrees of freedom while a ray has three degrees of freedom. To address this issue, as shown in Figure \ref{coord} (b), we use polar coordinate systems to describe a lane anchor with two parameters for radius and angle $\left\{\theta, r\right\}$, where $\theta \in \left[-\frac{\pi}{2}, \frac{\pi}{2}\right)$ and $r \in \left(-\infty, +\infty\right)$.
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\textbf{Polar Coordinate system.} Since the lane anchor are set to be straight by default, it could be described by the straight line parameter. Previous work uses a ray to describe a 2D line anchor, and the parameters of a ray contain the start point's coordinates and the orientation/angle, i.e., $\left\{\theta, P_{xy}\right\}$, as shown in Figure \ref{coord} (a). \cite{}\cite{} define the start points locates on the three image boundary. And \cite{} points out that this not reasonable because the real start point of a lane could be in any location within an image. In our analysis, using a ray may cause ambiguity in describing a line because a line may have infinite start points and the start point of the lane is subjective. As illustrated in Figure \ref{coord} (a), the yellow and darkgreen start points with the same orientation $\theta$ describe the same line, and either of them could be chosen in different datasets. This ambiguity arises because a straight line has two degrees of freedom while a ray has three degrees of freedom. To address this issue, as shown in Figure \ref{coord} (b), we use polar coordinate systems to describe a lane anchor with two parameters for radius and angle $\left\{\theta, r\right\}$, where $\theta \in \left[-\frac{\pi}{2}, \frac{\pi}{2}\right)$ and $r \in \left(-\infty, +\infty\right)$.
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\begin{figure}[t]
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\begin{figure}[t]
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\centering
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\centering
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\def\subwidth{0.24\textwidth}
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\def\imgwidth{\linewidth}
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\def\imgheight{0.4\linewidth}
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\begin{subfigure}{\subwidth}
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\begin{subfigure}{\subwidth}
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\centering
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\includegraphics[width=\imgwidth]{thsis_figure/coord/ray.png}
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\includegraphics[width=1\linewidth]{thsis_figure/coord/ray.png}
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\caption{}
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\caption{}
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\end{subfigure}
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\end{subfigure}
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\hfill
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\begin{subfigure}{\subwidth}
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\begin{subfigure}{\subwidth}
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\centering
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\includegraphics[width=\imgwidth]{thsis_figure/coord/polar.png}
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\includegraphics[width=1\linewidth]{thsis_figure/coord/polar.png}
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\caption{}
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\caption{}
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\end{subfigure}
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\end{subfigure}
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\caption{Different descriptions for anchor parameters. (a) Ray: start point and orientation. (b) polar: radius and angle.}
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\caption{Different descriptions for anchor parameters. (a) Ray: start point and orientation. (b) polar: radius and angle.}
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@ -460,7 +462,7 @@ where $BCE\left( \cdot , \cdot \right) $ denotes the binary cross entropy loss a
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\begin{figure}[t]
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\begin{figure}[t]
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\centering
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\centering
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\includegraphics[width=0.48\textwidth]{thsis_figure/coord/localpolar.png}
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\includegraphics[width=\linewidth]{thsis_figure/coord/localpolar.png}
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\caption{Label construction for local polar proposal module.}
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\caption{Label construction for local polar proposal module.}
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\label{lphlabel}
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\label{lphlabel}
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\end{figure}
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\end{figure}
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@ -490,21 +492,21 @@ Then the feature points can be sample on the line anchor. The y coordinate of po
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\begin{figure}[t]
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\begin{figure}[t]
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\centering
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\centering
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\includegraphics[width=0.49\textwidth]{thsis_figure/triplet_head.png} % 替换为你的图片文件名
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\includegraphics[width=\linewidth]{thsis_figure/triplet_head.png} % 替换为你的图片文件名
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\caption{The main architecture of global head}
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\caption{The main architecture of global head}
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\label{triplet}
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\label{triplet}
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\end{figure}
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\end{figure}
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\begin{figure}[t]
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\begin{figure}[t]
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\centering
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\centering
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\includegraphics[width=0.4\textwidth]{thsis_figure/gnn.png} % 替换为你的图片文件名
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\includegraphics[width=\linewidth]{thsis_figure/gnn.png} % 替换为你的图片文件名
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\caption{The main architecture of our model.}
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\caption{The main architecture of our model.}
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\label{gnn}
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\label{gnn}
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\end{figure}
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\end{figure}
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\begin{figure}[t]
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\begin{figure}[t]
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\centering
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\centering
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\includegraphics[width=0.49\textwidth]{thsis_figure/GLaneIoU.png} % 替换为你的图片文件名
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\includegraphics[width=\linewidth]{thsis_figure/GLaneIoU.png} % 替换为你的图片文件名
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\caption{Illustrations of GLaneIoU re-defined in our work.}
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\caption{Illustrations of GLaneIoU re-defined in our work.}
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\label{glaneiou}
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\label{glaneiou}
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\end{figure}
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\end{figure}
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@ -529,7 +531,7 @@ In the testing stage, anchors with the top-$k_{l}$ confidence are the chosed as
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\begin{figure}[t]
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\centering
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\centering
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\includegraphics[width=0.48\textwidth]{thsis_figure/anchor_num_method.png}
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\includegraphics[width=\linewidth]{thsis_figure/anchor_num_method.png}
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\caption{Anchor Number and f1-score of different methods on CULane.}
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\caption{Anchor Number and f1-score of different methods on CULane.}
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\label{anchor_num_method}
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\label{anchor_num_method}
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\end{figure}
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\end{figure}
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@ -559,7 +561,7 @@ In the testing stage, anchors with the top-$k_{l}$ confidence are the chosed as
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\begin{table*}[htbp]
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\begin{table*}[htbp]
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\centering
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\centering
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\caption{Dataset \& preprocess}
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\caption{Dataset \& preprocess}
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\begin{adjustbox}{width=0.9\linewidth}
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\begin{adjustbox}{width=\linewidth}
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\begin{tabular}{l|l|ccccc}
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\begin{tabular}{l|l|ccccc}
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\toprule
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\toprule
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\multicolumn{2}{c|}{\textbf{Dataset}} & CULane & TUSimple & LLAMAS & DL-Rail & Curvelanes \\
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\multicolumn{2}{c|}{\textbf{Dataset}} & CULane & TUSimple & LLAMAS & DL-Rail & Curvelanes \\
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