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3D transformations for Python

Project description

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A Python library for transformations in three dimensions.

The library focuses on readability and debugging, not on computational efficiency. If you want to have an efficient implementation of some function from the library you can easily extract the relevant code and implement it more efficiently in a language of your choice.

The library integrates well with the scientific Python ecosystem with its core libraries Numpy, Scipy and Matplotlib. We rely on Numpy for linear algebra and on Matplotlib to offer plotting functionalities. Scipy is used if you want to automatically compute new transformations from a graph of existing transformations.

Heterogenous software systems that consist of proprietary and open source software are often combined when we work with transformations. For example, suppose you want to transfer a trajectory demonstrated by a human to a robot. The human trajectory could be measured from an RGB-D camera, fused with IMU sensors that are attached to the human, and then translated to joint angles by inverse kinematics. That involves at least three different software systems that might all use different conventions for transformations. Sometimes even one software uses more than one convention. The following aspects are of crucial importance to glue and debug transformations in systems with heterogenous and often incompatible software:

  • Compatibility: Compatibility between heterogenous softwares is a difficult topic. It might involve, for example, communicating between proprietary and open source software or different languages.
  • Conventions: Lots of different conventions are used for transformations in three dimensions. These have to be determined or specified.
  • Conversions: We need conversions between these conventions to communicate transformations between different systems.
  • Visualization: Finally, transformations should be visually verified and that should be as easy as possible.

pytransform3d assists in solving these issues. Its documentation clearly states all of the used conventions, it makes conversions between rotation and transformation conventions as easy as possible, it is tightly coupled with Matplotlib to quickly visualize (or animate) transformations and it is written in Python with few dependencies. Python is a widely adopted language. It is used in many domains and supports a wide spectrum of communication to other software.

In addition, pytransform3d offers...

  • the TransformManager which manages complex chains of transformations
  • the TransformEditor which allows to modify transformations graphically (additionally requires PyQt4)
  • the UrdfTransformManager which is able to load transformations from URDF files (additionally requires beautifulsoup4)

pytransform3d is used in various domains, for example:

  • specifying motions of a robot
  • learning robot movements from human demonstration
  • sensor fusion for human pose estimation


Clone the repository and go to the main folder.

Install dependencies with:

pip install -r requirements.txt

Install the package with:

python install


The API documentation can be found here.

The docmentation of this project can be found in the directory doc. Note that currently sphinx 1.6.7 is required to build the documentation. To build the documentation, run e.g. (on unix):

cd doc
make html

The HTML documentation is now located at doc/build/html/index.html. Note that sphinx is required to build the documentation.


This is just one simple example. You can find more examples in the subfolder examples/.

import numpy as np
import matplotlib.pyplot as plt
import pytransform3d.rotations as pr
import pytransform3d.transformations as pt
from pytransform3d.transform_manager import TransformManager

random_state = np.random.RandomState(0)

ee2robot = pt.transform_from_pq(
    np.hstack((np.array([0.4, -0.3, 0.5]), pr.random_quaternion(random_state))))
cam2robot = pt.transform_from_pq(
    np.hstack((np.array([0.0, 0.0, 0.8]), pr.q_id)))
object2cam = pt.transform_from(
    pr.matrix_from_euler_xyz(np.array([0.0, 0.0, 0.5])),
                             np.array([0.5, 0.1, 0.1]))

tm = TransformManager()
tm.add_transform("end-effector", "robot", ee2robot)
tm.add_transform("camera", "robot", cam2robot)
tm.add_transform("object", "camera", object2cam)

ee2object = tm.get_transform("end-effector", "object")

ax = tm.plot_frames_in("robot", s=0.1)
ax.set_xlim((-0.25, 0.75))
ax.set_ylim((-0.5, 0.5))
ax.set_zlim((0.0, 1.0))



You can use nosetests to run the tests of this project in the root directory:


A coverage report will be located at cover/index.html. Note that you have to install nose to run the tests and coverage to obtain the code coverage report. The branch coverage is currently 100% for code that is not related to the GUI.


If you wish to report bugs, please use the issue tracker at Github. If you would like to contribute to pytransform3d, just open an issue or a merge request.

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