# Precising of the vertebral body geometry by using Bézier curves

## Main Article Content

## Abstract

The biomechanical investigation of the human spine requires first of all the proper geometry of the focused object. The paper deals with a geometrical model developing of the human lumbar vertebral body by using B\'ezier curves - the tool for the curves creation of demanded shape and properties. The background theory and algorithm for the B\'ezier curves and their compound generation are introduced, the resulting geometry and the corresponding biomechanical computation results are performed.

## Article Details

How to Cite

Tješová, M., & Minárová, M.
(2016).
Precising of the vertebral body geometry by using Bézier curves.

*Proceedings Of The Conference Algoritmy,*, 55-61. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/394/311
Section

Articles

## References

[1] W. Cheney, D.Kincaid, Numerical Mathematics and Computing, fifth edition, Thomsom Learning (2004).

[2] W. Herzog, Clinical biomechanics of spinal manipulation, Churcill livingstone (2000).

[3] http://www.ams.org/samplings/feature-column/fcarc-bezier.

[4] http://fractal.dam.fmph.uniba.sk/ kg/kudlickova/

[5] M. Kurutz, Finite Element Analysis, David Moratal (Ed.) (2001).

[6] M. Minárová. J. Sumec, M. Tješová, Behavior of the Intervertebral Disc within the Motion Segment L3-L4 of the Human Spine under Various Types of Physiological Load. Transac- tions os the VB - TU Ostrava, Civil Engineering series, vol. 11, No.2 (2012).

[7] D. sinelnikov, Atlas of human anatomy, Avicenum/Mir, Prague/Moscow (1980).

[8] J. Sumec, M.Sokol, J. Jíra, Computer simulation of lumbar spine function, Proc. IAESTED conference Biomechanics, pp. 109-113 (2003).

[9] M. Tješová, Geometrical model of the human lumbar spine and its biomechanical response, Diploma thesis SUT Bratislava, (2014)

[2] W. Herzog, Clinical biomechanics of spinal manipulation, Churcill livingstone (2000).

[3] http://www.ams.org/samplings/feature-column/fcarc-bezier.

[4] http://fractal.dam.fmph.uniba.sk/ kg/kudlickova/

[5] M. Kurutz, Finite Element Analysis, David Moratal (Ed.) (2001).

[6] M. Minárová. J. Sumec, M. Tješová, Behavior of the Intervertebral Disc within the Motion Segment L3-L4 of the Human Spine under Various Types of Physiological Load. Transac- tions os the VB - TU Ostrava, Civil Engineering series, vol. 11, No.2 (2012).

[7] D. sinelnikov, Atlas of human anatomy, Avicenum/Mir, Prague/Moscow (1980).

[8] J. Sumec, M.Sokol, J. Jíra, Computer simulation of lumbar spine function, Proc. IAESTED conference Biomechanics, pp. 109-113 (2003).

[9] M. Tješová, Geometrical model of the human lumbar spine and its biomechanical response, Diploma thesis SUT Bratislava, (2014)