Calculating curvature and offsets of curve segment











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Given a pair of coordinates a linear interpolation between these, or indeed interpolation of a circular profile given a radius, is simple enough, but...



how would one calculate the intermittent coordinates if the line has some curvature based on the effect of outlying points?



You see this concept in CAD programs where lines are controlled by node points. I am interested in a 1st level improvement of the accuracy from a chord line based on the nearest points outside this rather than a full weighting of all influencing coordinates.



I've had a hunt for this but as a programmer rather than a mathematician I am a little unsure of both the maths behind it and what terminology to actually search for






coordinate-systems curvature







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  • The impossible question?!
    – Shaun McCance
    Nov 19 at 8:14















up vote
1
down vote

favorite












Given a pair of coordinates a linear interpolation between these, or indeed interpolation of a circular profile given a radius, is simple enough, but...



how would one calculate the intermittent coordinates if the line has some curvature based on the effect of outlying points?



You see this concept in CAD programs where lines are controlled by node points. I am interested in a 1st level improvement of the accuracy from a chord line based on the nearest points outside this rather than a full weighting of all influencing coordinates.



I've had a hunt for this but as a programmer rather than a mathematician I am a little unsure of both the maths behind it and what terminology to actually search for






coordinate-systems curvature







share|cite|improve this question






















  • The impossible question?!
    – Shaun McCance
    Nov 19 at 8:14













up vote
1
down vote

favorite









up vote
1
down vote

favorite











Given a pair of coordinates a linear interpolation between these, or indeed interpolation of a circular profile given a radius, is simple enough, but...



how would one calculate the intermittent coordinates if the line has some curvature based on the effect of outlying points?



You see this concept in CAD programs where lines are controlled by node points. I am interested in a 1st level improvement of the accuracy from a chord line based on the nearest points outside this rather than a full weighting of all influencing coordinates.



I've had a hunt for this but as a programmer rather than a mathematician I am a little unsure of both the maths behind it and what terminology to actually search for






coordinate-systems curvature







share|cite|improve this question













Given a pair of coordinates a linear interpolation between these, or indeed interpolation of a circular profile given a radius, is simple enough, but...



how would one calculate the intermittent coordinates if the line has some curvature based on the effect of outlying points?



You see this concept in CAD programs where lines are controlled by node points. I am interested in a 1st level improvement of the accuracy from a chord line based on the nearest points outside this rather than a full weighting of all influencing coordinates.



I've had a hunt for this but as a programmer rather than a mathematician I am a little unsure of both the maths behind it and what terminology to actually search for






coordinate-systems curvature




coordinate-systems curvature






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Nov 18 at 1:51









Shaun McCance

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  • The impossible question?!
    – Shaun McCance
    Nov 19 at 8:14


















  • The impossible question?!
    – Shaun McCance
    Nov 19 at 8:14
















The impossible question?!
– Shaun McCance
Nov 19 at 8:14




The impossible question?!
– Shaun McCance
Nov 19 at 8:14















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