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October 3, 2003, 03:40 
Normal to a curve

#1 
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Is there any mathematical formula available for getting a normal or perpendicular to a curve from some arbitrary points. Thanks for any help Pr


October 3, 2003, 11:53 
Re: Normal to a curve

#2 
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Map the curve to an easy shape, and the mapping if matrix F.
! ==> Normal ! recall: n = cofF . N / mu in rheology class note ! Fij = dx_i/dxi_j = XY_XIETA ! ! T ! F . N ! n =  ! T !  F . N  ! n is the unit normal vector that you want, N is the unit normal vector in reference domain. 

October 4, 2003, 13:01 
Re: Normal to a curve

#3 
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Given some points on a curve, use your favorite method to numerically evaluate the gradient.


October 6, 2003, 05:52 
Re: Normal to a curve

#4 
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n = (GRAD Phi)/GRAD Phi). See Anton, "Calculus" for an excellent explaination of all sorts of this type of idea.


October 6, 2003, 06:08 
Re: Normal to a curve

#5 
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Hey thanks for the solution. But actually I want to argue with your answer. You had written for gradients.I can calculate gradient of curve at certain discrete points at which function or curve is defined.let us say I have 50 points I can get 50 values. But from arbitrary point(A) which does not lie on the curve I want to find the normal.so one or more lines from point A to the 50 points on the curve will be normal. This procedure becomes time consuming when curve ponts increases. So I want to ask here is there any other method to do this. Pr


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