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 Nov 19 at 15:31
Harikrishnan R
33
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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 Nov 19 at 15:31
Harikrishnan R
33
Define the sinusoidity. Currently, Google reports 61 occurrences of this word, which is a good sign that it doesn't exist.
– Yves Daoust
Nov 19 at 15:47
how straight a curve is..
– Harikrishnan R
Nov 19 at 16:40
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
Nov 19 at 17:18
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 Nov 19 at 15:31
Harikrishnan R
33
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 Nov 19 at 15:31
Harikrishnan R
33
asked Nov 19 at 15:31
Harikrishnan R
33
asked Nov 19 at 15:31
Harikrishnan R
33
asked Nov 19 at 15:31
Harikrishnan R
33
asked Nov 19 at 15:31
Harikrishnan R
33
33
Define the sinusoidity. Currently, Google reports 61 occurrences of this word, which is a good sign that it doesn't exist.
– Yves Daoust
Nov 19 at 15:47
how straight a curve is..
– Harikrishnan R
Nov 19 at 16:40
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
Nov 19 at 17:18
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
Nov 19 at 15:47
how straight a curve is..
– Harikrishnan R
Nov 19 at 16:40
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
Nov 19 at 17:18
Define the sinusoidity. Currently, Google reports 61 occurrences of this word, which is a good sign that it doesn't exist.
– Yves Daoust
Nov 19 at 15:47
Define the sinusoidity. Currently, Google reports 61 occurrences of this word, which is a good sign that it doesn't exist.
– Yves Daoust
Nov 19 at 15:47
how straight a curve is..
– Harikrishnan R
Nov 19 at 16:40
how straight a curve is..
– Harikrishnan R
Nov 19 at 16:40
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
Nov 19 at 17:18
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
Nov 19 at 17:18
add a comment |
1 Answer
1
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 Nov 19 at 17:18
Ross Millikan
288k23195364
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 Nov 19 at 17:18
Ross Millikan
288k23195364
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 Nov 19 at 17:18
Ross Millikan
288k23195364
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 Nov 19 at 17:18
Ross Millikan
288k23195364
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 Nov 19 at 17:18
Ross Millikan
288k23195364
answered Nov 19 at 17:18
Ross Millikan
288k23195364
answered Nov 19 at 17:18
Ross Millikan
288k23195364
answered Nov 19 at 17:18
Ross Millikan
288k23195364
288k23195364
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
Nov 19 at 15:47
how straight a curve is..
– Harikrishnan R
Nov 19 at 16:40
If you have no precise requirement, this method is not worse than another.
– Yves Daoust
Nov 19 at 17:18