Hello all(adsbygoogle = window.adsbygoogle || []).push({});

I work in railway transport.

I am trying to re-design an existing railway curve; the existing curvature has several irregularities which result in the train being laterally displaced as it traverses the curve.

What I have done is taken x,y and z co-ordinates along the railway curve and named each point A, B C … and so on.

Using this data I want to re-design the curve so that the irregularities of the curve are removed, the only restriction I have is that I am only allowed to move the curve, at a particular point, tangent to the curve at that point.

Attached is a basic diagram of I am referring to.

• The red dots represent the points along the curve I have taken x y z co-ordinates.

• The blue line represents the tangent line at that point.

• The arrow which is 90 degrees to the tangent line represents the directions which the curve at that point can be moved to.

Can anybody shed any light on how I can manipulate the co-ordinates such that I can smooth out the curve but making sure that any movement is tangential.

Thank you or your help.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Help Re-Designing A Curve Using X Y Z Co-ordinates

Loading...

Similar Threads - Help Designing Curve | Date |
---|---|

Where can I get help with David Bachman's A Geometric Approach to Differential Forms? | Aug 31, 2015 |

Help me check a fact about Berry phase | May 22, 2015 |

Question about geometric algebra -- Can any one help? | Feb 25, 2015 |

Need some help understanding boundary operator on simplicies | Feb 2, 2015 |

How to design algebraic function with particular ramified covering? | Nov 13, 2012 |

**Physics Forums - The Fusion of Science and Community**