How to identify a face is circle using it's vertices [closed]
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Is there a way to identify whether a face is of circular shape and it's center?. All I have is the face and it's vertices.
surfaces
asked Dec 6 '18 at 15:16
ChanduChandu
1
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closed as unclear what you're asking by Hans Lundmark, Lord Shark the Unknown, KReiser, Rebellos, Cesareo Dec 7 '18 at 11:50
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
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$begingroup$
Is there a way to identify whether a face is of circular shape and it's center?. All I have is the face and it's vertices.
surfaces
asked Dec 6 '18 at 15:16
ChanduChandu
1
$endgroup$
closed as unclear what you're asking by Hans Lundmark, Lord Shark the Unknown, KReiser, Rebellos, Cesareo Dec 7 '18 at 11:50
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
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Are you asking, given the numerical coordinates of some points in the plane, how do you tell if they lie on a circle? If so, are you concerned about numerical imprecision?
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– kimchi lover
Dec 6 '18 at 15:45
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Yes. I am not concerned.
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– Chandu
Dec 6 '18 at 23:44
add a comment |
$begingroup$
Is there a way to identify whether a face is of circular shape and it's center?. All I have is the face and it's vertices.
surfaces
asked Dec 6 '18 at 15:16
ChanduChandu
1
$endgroup$
Is there a way to identify whether a face is of circular shape and it's center?. All I have is the face and it's vertices.
surfaces
surfaces
asked Dec 6 '18 at 15:16
ChanduChandu
1
asked Dec 6 '18 at 15:16
ChanduChandu
1
asked Dec 6 '18 at 15:16
ChanduChandu
1
asked Dec 6 '18 at 15:16
ChanduChandu
1
asked Dec 6 '18 at 15:16
ChanduChandu
1
1
closed as unclear what you're asking by Hans Lundmark, Lord Shark the Unknown, KReiser, Rebellos, Cesareo Dec 7 '18 at 11:50
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
closed as unclear what you're asking by Hans Lundmark, Lord Shark the Unknown, KReiser, Rebellos, Cesareo Dec 7 '18 at 11:50
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
$begingroup$
Are you asking, given the numerical coordinates of some points in the plane, how do you tell if they lie on a circle? If so, are you concerned about numerical imprecision?
$endgroup$
– kimchi lover
Dec 6 '18 at 15:45
$begingroup$
Yes. I am not concerned.
$endgroup$
– Chandu
Dec 6 '18 at 23:44
add a comment |
$begingroup$
Are you asking, given the numerical coordinates of some points in the plane, how do you tell if they lie on a circle? If so, are you concerned about numerical imprecision?
$endgroup$
– kimchi lover
Dec 6 '18 at 15:45
$begingroup$
Yes. I am not concerned.
$endgroup$
– Chandu
Dec 6 '18 at 23:44
$begingroup$
Are you asking, given the numerical coordinates of some points in the plane, how do you tell if they lie on a circle? If so, are you concerned about numerical imprecision?
$endgroup$
– kimchi lover
Dec 6 '18 at 15:45
$begingroup$
Are you asking, given the numerical coordinates of some points in the plane, how do you tell if they lie on a circle? If so, are you concerned about numerical imprecision?
$endgroup$
– kimchi lover
Dec 6 '18 at 15:45
$begingroup$
Yes. I am not concerned.
$endgroup$
– Chandu
Dec 6 '18 at 23:44
$begingroup$
Yes. I am not concerned.
$endgroup$
– Chandu
Dec 6 '18 at 23:44
add a comment |
2 Answers
2
active
oldest
votes
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Three non-aligned points are enough to unambiguously define a circle. You find the center as the intersection of two mediatrices. http://www.manufacturinget.org/2011/07/construct-circle-through-three-points/
When you have the center, you can check that all points are at the same distance from it.
answered Dec 7 '18 at 0:38
Yves DaoustYves Daoust
125k671223
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$begingroup$
This condition will identify a square face too as circle?
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– Chandu
Dec 7 '18 at 1:29
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@Chandu: are you serious ?
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– Yves Daoust
Dec 7 '18 at 8:47
add a comment |
$begingroup$
Given a list of $(x_i,y_i)$ pairs, representing points in the plain, see if you can predict $x_i^2+y_i^2$ with an affine function of $(x_i,y_i)$, by, say, least squares. If your points lie exactly on a circle, the residual sum of squares should equal 0.
answered Dec 7 '18 at 0:07
kimchi loverkimchi lover
9,84131128
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1
$begingroup$
The little that I can understand of this answer, is wrong.
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– Yves Daoust
Dec 7 '18 at 0:35
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Three non-aligned points are enough to unambiguously define a circle. You find the center as the intersection of two mediatrices. http://www.manufacturinget.org/2011/07/construct-circle-through-three-points/
When you have the center, you can check that all points are at the same distance from it.
answered Dec 7 '18 at 0:38
Yves DaoustYves Daoust
125k671223
$endgroup$
$begingroup$
This condition will identify a square face too as circle?
$endgroup$
– Chandu
Dec 7 '18 at 1:29
$begingroup$
@Chandu: are you serious ?
$endgroup$
– Yves Daoust
Dec 7 '18 at 8:47
add a comment |
$begingroup$
Three non-aligned points are enough to unambiguously define a circle. You find the center as the intersection of two mediatrices. http://www.manufacturinget.org/2011/07/construct-circle-through-three-points/
When you have the center, you can check that all points are at the same distance from it.
answered Dec 7 '18 at 0:38
Yves DaoustYves Daoust
125k671223
$endgroup$
$begingroup$
This condition will identify a square face too as circle?
$endgroup$
– Chandu
Dec 7 '18 at 1:29
$begingroup$
@Chandu: are you serious ?
$endgroup$
– Yves Daoust
Dec 7 '18 at 8:47
add a comment |
$begingroup$
Three non-aligned points are enough to unambiguously define a circle. You find the center as the intersection of two mediatrices. http://www.manufacturinget.org/2011/07/construct-circle-through-three-points/
When you have the center, you can check that all points are at the same distance from it.
answered Dec 7 '18 at 0:38
Yves DaoustYves Daoust
125k671223
$endgroup$
Three non-aligned points are enough to unambiguously define a circle. You find the center as the intersection of two mediatrices. http://www.manufacturinget.org/2011/07/construct-circle-through-three-points/
When you have the center, you can check that all points are at the same distance from it.
answered Dec 7 '18 at 0:38
Yves DaoustYves Daoust
125k671223
answered Dec 7 '18 at 0:38
Yves DaoustYves Daoust
125k671223
answered Dec 7 '18 at 0:38
Yves DaoustYves Daoust
125k671223
answered Dec 7 '18 at 0:38
Yves DaoustYves Daoust
125k671223
125k671223
$begingroup$
This condition will identify a square face too as circle?
$endgroup$
– Chandu
Dec 7 '18 at 1:29
$begingroup$
@Chandu: are you serious ?
$endgroup$
– Yves Daoust
Dec 7 '18 at 8:47
add a comment |
$begingroup$
This condition will identify a square face too as circle?
$endgroup$
– Chandu
Dec 7 '18 at 1:29
$begingroup$
@Chandu: are you serious ?
$endgroup$
– Yves Daoust
Dec 7 '18 at 8:47
$begingroup$
This condition will identify a square face too as circle?
$endgroup$
– Chandu
Dec 7 '18 at 1:29
$begingroup$
This condition will identify a square face too as circle?
$endgroup$
– Chandu
Dec 7 '18 at 1:29
$begingroup$
@Chandu: are you serious ?
$endgroup$
– Yves Daoust
Dec 7 '18 at 8:47
$begingroup$
@Chandu: are you serious ?
$endgroup$
– Yves Daoust
Dec 7 '18 at 8:47
add a comment |
$begingroup$
Given a list of $(x_i,y_i)$ pairs, representing points in the plain, see if you can predict $x_i^2+y_i^2$ with an affine function of $(x_i,y_i)$, by, say, least squares. If your points lie exactly on a circle, the residual sum of squares should equal 0.
answered Dec 7 '18 at 0:07
kimchi loverkimchi lover
9,84131128
$endgroup$
1
$begingroup$
The little that I can understand of this answer, is wrong.
$endgroup$
– Yves Daoust
Dec 7 '18 at 0:35
add a comment |
$begingroup$
Given a list of $(x_i,y_i)$ pairs, representing points in the plain, see if you can predict $x_i^2+y_i^2$ with an affine function of $(x_i,y_i)$, by, say, least squares. If your points lie exactly on a circle, the residual sum of squares should equal 0.
answered Dec 7 '18 at 0:07
kimchi loverkimchi lover
9,84131128
$endgroup$
1
$begingroup$
The little that I can understand of this answer, is wrong.
$endgroup$
– Yves Daoust
Dec 7 '18 at 0:35
add a comment |
$begingroup$
Given a list of $(x_i,y_i)$ pairs, representing points in the plain, see if you can predict $x_i^2+y_i^2$ with an affine function of $(x_i,y_i)$, by, say, least squares. If your points lie exactly on a circle, the residual sum of squares should equal 0.
answered Dec 7 '18 at 0:07
kimchi loverkimchi lover
9,84131128
$endgroup$
Given a list of $(x_i,y_i)$ pairs, representing points in the plain, see if you can predict $x_i^2+y_i^2$ with an affine function of $(x_i,y_i)$, by, say, least squares. If your points lie exactly on a circle, the residual sum of squares should equal 0.
answered Dec 7 '18 at 0:07
kimchi loverkimchi lover
9,84131128
edited Dec 7 '18 at 1:05
answered Dec 7 '18 at 0:07
kimchi loverkimchi lover
9,84131128
answered Dec 7 '18 at 0:07
kimchi loverkimchi lover
9,84131128
answered Dec 7 '18 at 0:07
kimchi loverkimchi lover
9,84131128
9,84131128
1
$begingroup$
The little that I can understand of this answer, is wrong.
$endgroup$
– Yves Daoust
Dec 7 '18 at 0:35
add a comment |
1
$begingroup$
The little that I can understand of this answer, is wrong.
$endgroup$
– Yves Daoust
Dec 7 '18 at 0:35
1
1
$begingroup$
The little that I can understand of this answer, is wrong.
$endgroup$
– Yves Daoust
Dec 7 '18 at 0:35
$begingroup$
The little that I can understand of this answer, is wrong.
$endgroup$
– Yves Daoust
Dec 7 '18 at 0:35
add a comment |
$begingroup$
Are you asking, given the numerical coordinates of some points in the plane, how do you tell if they lie on a circle? If so, are you concerned about numerical imprecision?
$endgroup$
– kimchi lover
Dec 6 '18 at 15:45
$begingroup$
Yes. I am not concerned.
$endgroup$
– Chandu
Dec 6 '18 at 23:44