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
asked Nov 18 at 1:51
Shaun McCance
61
add a comment |
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
asked Nov 18 at 1:51
Shaun McCance
61
The impossible question?!
– Shaun McCance
Nov 19 at 8:14
add a comment |
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
asked Nov 18 at 1:51
Shaun McCance
61
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
asked Nov 18 at 1:51
Shaun McCance
61
asked Nov 18 at 1:51
Shaun McCance
61
asked Nov 18 at 1:51
Shaun McCance
61
asked Nov 18 at 1:51
Shaun McCance
61
asked Nov 18 at 1:51
Shaun McCance
61
61
The impossible question?!
– Shaun McCance
Nov 19 at 8:14
add a comment |
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
add a comment |
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The impossible question?!
– Shaun McCance
Nov 19 at 8:14