Skip to main content

Kinematics

  • Chapter
  • First Online:
Advanced Methods in Computer Graphics

Overview

The term “kinematics” refers to the study of the translational and rotational motion of objects without reference to mass, force or torque. Kinematics equations are used to describe three-dimensional motion of a multi-body system in terms of translational and rotational motions, linear and angular velocities. Kinematics analysis becomes important in the animation of articulated models and skeletal structures containing serial chains of joints and links.

To set the context for developing the kinematics equations for graphics applications, we first give an outline of robot manipulators comprising a chain of joints. Both forward and inverse kinematics equations of joint chains are then discussed in detail. Iterative numerical algorithms for computing joint angles for a given target position are also presented. These methods are useful for performing goal-directed motion in an animation sequence.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 84.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Aristidou, A. (2011). FABRIK: A fast iterative solver for the inverse kinematics problem. Graphical Models, 73(5), 243–260.

    Article  Google Scholar 

  • Bottema, O., & Roth, B. (1979). Theoretical kinematics. Amsterdam/Oxford: North-Holland Publishing Co.

    MATH  Google Scholar 

  • Cardwell, O., & R. Mukundan. (2011). Visualization and analysis of inverse kinematics algorithms using performance metric maps. The 19th international conference in Central Europe on computer graphics, visualization and computer vision, WSCG-2011, Czech Republic.

    Google Scholar 

  • Crane, C. D., & Duffy, J. (1998). Kinematic analysis of robot manipulators. Cambridge: Cambridge University Press.

    Book  MATH  Google Scholar 

  • Jazar, R. N. (2010). Theory of applied robotics: Kinematics, dynamics, and control (2nd ed.). New York: Springer.

    MATH  Google Scholar 

  • Korein, J. U., & Badler, N. I. (1982). Techniques for generating the goal-directed motion of articulated structures. IEEE Computer Graphics and Applications, 2(9), 71–81.

    Article  Google Scholar 

  • Lander, J. (1998, November). Making kine more flexible. Game Developer, 1, 15–22.

    Google Scholar 

  • Maciejewski, A. A., & Klein, C. A. (1989). The singular value decomposition: Computation and applications to robotics. International Journal of Robotics Research, 8, 63–79.

    Google Scholar 

  • Orin, D. E., & Schrader, W. W. (1984). Efficient computation of the Jacobian for robot manipulators. International Journal of Robotics Research, 3, 66–75.

    Article  Google Scholar 

  • Parent, R. (2002). Computer animation: Algorithms and techniques. San Francisco/London: Morgan Kaufmann Publishers.

    Google Scholar 

  • Welman, C. (1989). Inverse kinematics and geometric constraints for articulated figure manipulation. Master of Science thesis, Simon Fraser University.

    Google Scholar 

  • Yamane, K. (2010). Simulating and generating motions of human figures. Berlin/Heidelberg: Springer.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ramakrishnan Mukundan .

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag London Limited

About this chapter

Cite this chapter

Mukundan, R. (2012). Kinematics. In: Advanced Methods in Computer Graphics. Springer, London. https://doi.org/10.1007/978-1-4471-2340-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-2340-8_6

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2339-2

  • Online ISBN: 978-1-4471-2340-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics