Calculating curvature and offsets of curve segment
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
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 |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3003055%2fcalculating-curvature-and-offsets-of-curve-segment%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
The impossible question?!
– Shaun McCance
Nov 19 at 8:14