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Calculating sinusoidity of a line
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I have a line in a 2D plane. I wanted to calculate the sinusoidity of the line. What i thought was to calculate the arc length and then divide this with the eucledean distance between the initial and final points of the line. Is this a correct procedure?
geometry
asked yesterday
Harikrishnan R
32
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favorite
I have a line in a 2D plane. I wanted to calculate the sinusoidity of the line. What i thought was to calculate the arc length and then divide this with the eucledean distance between the initial and final points of the line. Is this a correct procedure?
geometry
asked yesterday
Harikrishnan R
32
Define the sinusoidity. Currently, Google reports 61 occurrences of this word, which is a good sign that it doesn't exist.
– Yves Daoust
yesterday
how straight a curve is..
– Harikrishnan R
yesterday
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
yesterday
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have a line in a 2D plane. I wanted to calculate the sinusoidity of the line. What i thought was to calculate the arc length and then divide this with the eucledean distance between the initial and final points of the line. Is this a correct procedure?
geometry
asked yesterday
Harikrishnan R
32
I have a line in a 2D plane. I wanted to calculate the sinusoidity of the line. What i thought was to calculate the arc length and then divide this with the eucledean distance between the initial and final points of the line. Is this a correct procedure?
geometry
geometry
asked yesterday
Harikrishnan R
32
asked yesterday
Harikrishnan R
32
asked yesterday
Harikrishnan R
32
asked yesterday
Harikrishnan R
32
asked yesterday
Harikrishnan R
32
32
Define the sinusoidity. Currently, Google reports 61 occurrences of this word, which is a good sign that it doesn't exist.
– Yves Daoust
yesterday
how straight a curve is..
– Harikrishnan R
yesterday
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
yesterday
add a comment |
Define the sinusoidity. Currently, Google reports 61 occurrences of this word, which is a good sign that it doesn't exist.
– Yves Daoust
yesterday
how straight a curve is..
– Harikrishnan R
yesterday
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
yesterday
Define the sinusoidity. Currently, Google reports 61 occurrences of this word, which is a good sign that it doesn't exist.
– Yves Daoust
yesterday
Define the sinusoidity. Currently, Google reports 61 occurrences of this word, which is a good sign that it doesn't exist.
– Yves Daoust
yesterday
how straight a curve is..
– Harikrishnan R
yesterday
how straight a curve is..
– Harikrishnan R
yesterday
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
yesterday
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
yesterday
add a comment |
1 Answer
1
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oldest
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up vote
0
down vote
accepted
You can define the radius of curvature at any point where the second derivative is defined by $$R=left|frac {(1+y')^{3/2}}{y''}right|$$
Your approach is a fine algorithm. Whether it matches what you are looking for is up to you. Note that it will not distinguish two sides of a triangle from a rather smooth curve of the same arc length and end points.
answered yesterday
Ross Millikan
287k23195364
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
You can define the radius of curvature at any point where the second derivative is defined by $$R=left|frac {(1+y')^{3/2}}{y''}right|$$
Your approach is a fine algorithm. Whether it matches what you are looking for is up to you. Note that it will not distinguish two sides of a triangle from a rather smooth curve of the same arc length and end points.
answered yesterday
Ross Millikan
287k23195364
add a comment |
up vote
0
down vote
accepted
You can define the radius of curvature at any point where the second derivative is defined by $$R=left|frac {(1+y')^{3/2}}{y''}right|$$
Your approach is a fine algorithm. Whether it matches what you are looking for is up to you. Note that it will not distinguish two sides of a triangle from a rather smooth curve of the same arc length and end points.
answered yesterday
Ross Millikan
287k23195364
add a comment |
up vote
0
down vote
accepted
up vote
0
down vote
accepted
You can define the radius of curvature at any point where the second derivative is defined by $$R=left|frac {(1+y')^{3/2}}{y''}right|$$
Your approach is a fine algorithm. Whether it matches what you are looking for is up to you. Note that it will not distinguish two sides of a triangle from a rather smooth curve of the same arc length and end points.
answered yesterday
Ross Millikan
287k23195364
You can define the radius of curvature at any point where the second derivative is defined by $$R=left|frac {(1+y')^{3/2}}{y''}right|$$
Your approach is a fine algorithm. Whether it matches what you are looking for is up to you. Note that it will not distinguish two sides of a triangle from a rather smooth curve of the same arc length and end points.
answered yesterday
Ross Millikan
287k23195364
answered yesterday
Ross Millikan
287k23195364
answered yesterday
Ross Millikan
287k23195364
answered yesterday
Ross Millikan
287k23195364
287k23195364
add a comment |
add a comment |
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Define the sinusoidity. Currently, Google reports 61 occurrences of this word, which is a good sign that it doesn't exist.
– Yves Daoust
yesterday
how straight a curve is..
– Harikrishnan R
yesterday
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
yesterday