Coordinate Transformation

Introduction

This is still a draft.

This blog post is about coordinate transformation. I will use the Coordinate Transformation as a reference.

There are multiple types of coordinate transformation. The most common ones are the rotation, translation, and scaling. The rotation is used to rotate the coordinate system. The translation is used to translate the coordinate system. The scaling is used to scale the coordinate system.

The first one is world coordinate system. The world coordinate system is the coordinate system that is used to describe the world. The second one is the camera coordinate system. The camera coordinate system is the coordinate system that is used to describe the camera. The third one is the image coordinate system. The image coordinate system is the coordinate system that is used to describe the image.

The road coordinate system is the coordinate system that is used to describe the road. The road coordinate system is the coordinate system that is used to describe the road. The road coordinate system is the coordinate system that is used to describe the road. The road coordinate system is the coordinate system that is used to describe the road.

Frenet system commonly used in autonomous driving systems. The planning module uses the Frenet system to describe the road. The planning module uses the Frenet system to describe the road. The planning module uses the Frenet system to describe the road. The planning module uses the Frenet system to describe the road.

Transform world to camera coordinate system is done by the following equation: $$\begin{bmatrix} x_{camera} \ y_{camera} \ z_{camera} \end{bmatrix} = \begin{bmatrix} R_{camera_world} & T_{camera_world} \end{bmatrix} \begin{bmatrix} x_{world} \ y_{world} \ z_{world} \ 1 \end{bmatrix}$$

Transform world to frenet coordinate system is done by the following equation: $$\begin{bmatrix} s \ d \ \dot{s} \ \dot{d} \end{bmatrix} = \begin{bmatrix} R_{frenet_world} & T_{frenet_world} \end{bmatrix} \begin{bmatrix} x_{world} \ y_{world} \ z_{world} \ 1 \end{bmatrix}$$

Transform camera to frenet coordinate system is done by the following equation: $$\begin{bmatrix} s \ d \ \dot{s} \ \dot{d} \end{bmatrix} = \begin{bmatrix} R_{frenet_camera} & T_{frenet_camera} \end{bmatrix} \begin{bmatrix} x_{camera} \ y_{camera} \ z_{camera} \ 1 \end{bmatrix}$$

Transform frenet to world coordinate system is done by the following equation: $$\begin{bmatrix} x_{world} \ y_{world} \ z_{world} \end{bmatrix} = \begin{bmatrix} R_{world_frenet} & T_{world_frenet} \end{bmatrix} \begin{bmatrix} s \ d \ \dot{s} \ \dot{d} \end{bmatrix}$$

A reference line is a line that is used to describe the road. It is commonly described by baze points.

What is bazel curve? Spline wiki page is (https://en.wikipedia.org/wiki/Spline_(mathematics)). Spline is a curve that is used to interpolate the data points. The spline is a curve that is used to interpolate the data points. The spline is a curve that is used to interpolate the data points. The spline is a curve that is used to interpolate the data points.

Following code snippet generates a vehicle dynamics based on PhysX API: