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docs: update expired links and fix internal links (autowarefoundation…
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…#2842)

* fix(doc/link): update apollo documentation link

Signed-off-by: Kotaro Yoshimoto <pythagora.yoshimoto@gmail.com>

* fix(doc/link): fix internal link

Signed-off-by: Kotaro Yoshimoto <pythagora.yoshimoto@gmail.com>

* chore(doc): comment-out a figure that does not exist

Signed-off-by: Kotaro Yoshimoto <pythagora.yoshimoto@gmail.com>

* chore(doc): add {} to avoid recognize as a markdown link

Signed-off-by: Kotaro Yoshimoto <pythagora.yoshimoto@gmail.com>

* chore(doc): add {} to avoid recognize as a markdown link

Signed-off-by: Kotaro Yoshimoto <pythagora.yoshimoto@gmail.com>

* chore(doc): fix the hash of apollo link

Co-authored-by: Yukihiro Saito <yukky.saito@gmail.com>
Signed-off-by: Kotaro Yoshimoto <pythagora.yoshimoto@gmail.com>

* chore(doc): fix the hash of apollo link

Co-authored-by: Yukihiro Saito <yukky.saito@gmail.com>
Signed-off-by: Kotaro Yoshimoto <pythagora.yoshimoto@gmail.com>

* chore(doc): replace TierIV with TIER IV

Co-authored-by: Kenji Miyake <31987104+kenji-miyake@users.noreply.github.com>

---------

Signed-off-by: Kotaro Yoshimoto <pythagora.yoshimoto@gmail.com>
Co-authored-by: Yukihiro Saito <yukky.saito@gmail.com>
Co-authored-by: Kenji Miyake <31987104+kenji-miyake@users.noreply.github.com>
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3 people authored and nabetetsu committed Mar 1, 2023
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Two convex polygon's intersection can be visualized on the image below as the blue area:

<img src="convex_polygon_intersection.png">
<!-- <img src="convex_polygon_intersection.png"> -->

## Purpose / Use cases

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2 changes: 1 addition & 1 deletion perception/lidar_apollo_instance_segmentation/README.md
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Expand Up @@ -9,7 +9,7 @@ based on CNN based model and obstacle clustering method.

## Inner-workings / Algorithms

See the [original design](https://github.com/ApolloAuto/apollo/blob/master/docs/specs/3d_obstacle_perception.md) by Apollo.
See the [original design](https://github.com/ApolloAuto/apollo/blob/r6.0.0/docs/specs/3d_obstacle_perception.md) by Apollo.

## Inputs / Outputs

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Expand Up @@ -30,4 +30,4 @@ The package exports a boolean `lidar_apollo_segmentation_tvm_BUILT` cmake variab

## Reference

Lidar segmentation is based off a core algorithm by [Apollo](https://github.com/ApolloAuto/apollo/blob/master/docs/specs/3d_obstacle_perception.md), with modifications from [TierIV] (<https://github.com/tier4/lidar_instance_segmentation_tvm>) for the TVM backend.
Lidar segmentation is based off a core algorithm by [Apollo](https://github.com/ApolloAuto/apollo/blob/r6.0.0/docs/specs/3d_obstacle_perception.md), with modifications from [TIER IV] (<https://github.com/tier4/lidar_instance_segmentation_tvm>) for the TVM backend.
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Expand Up @@ -184,7 +184,7 @@ ros2 run accel_brake_map_calibrator actuation_cmd_publisher.py

## Calibration Method

Two algorithms are selectable for the acceleration map update, [update_offset_four_cell_around](#update_offset_each_cell) and [update_offset_each_cell](update_offset_each_cell). Please see the link for datails.
Two algorithms are selectable for the acceleration map update, [update_offset_four_cell_around](#update_offset_four_cell_around-1) and [update_offset_each_cell](#update_offset_each_cell). Please see the link for datails.

### Data Preprocessing

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$$
\begin{align}
\theta[n]=&
\theta[n-1]+\frac{p[n-1]x^{(n)}}{\lambda+p[n-1](x^{(n)})^2}(y^{(n)}-\theta[n-1]x^{(n)})\\
p[n]=&\frac{p[n-1]}{\lambda+p[n-1](x^{(n)})^2}
\theta[n-1]+\frac{p[n-1]x^{(n)}}{\lambda+p[n-1]{(x^{(n)})}^2}(y^{(n)}-\theta[n-1]x^{(n)})\\
p[n]=&\frac{p[n-1]}{\lambda+p[n-1]{(x^{(n)})}^2}
\end{align}
$$

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