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Need to find the equation of a curve from a Hand drawing
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My uncle makes hand drawings of furniture on a large piece of chart paper at 1:1 scale. He has recently passed away. I have the task of converting those hand drawings into Autocad drawings. The straight lines are easy to draw. But the curves of the furniture are very hard to replicate exactly. I need to be as precise as possible.
Currently I mark points on the curve and measure the distance from a reference line and then recreate that on the computer.This is extremely time consuming.
Is there a mathematical way in which I can solve this problem.Either by getting the equation of the curve or something ?
geometry curves applications
asked 1 hour ago
Hussain Bhavnagarwala
132
New contributor
Hussain Bhavnagarwala is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |Â
up vote
2
down vote
favorite
My uncle makes hand drawings of furniture on a large piece of chart paper at 1:1 scale. He has recently passed away. I have the task of converting those hand drawings into Autocad drawings. The straight lines are easy to draw. But the curves of the furniture are very hard to replicate exactly. I need to be as precise as possible.
Currently I mark points on the curve and measure the distance from a reference line and then recreate that on the computer.This is extremely time consuming.
Is there a mathematical way in which I can solve this problem.Either by getting the equation of the curve or something ?
geometry curves applications
asked 1 hour ago
Hussain Bhavnagarwala
132
New contributor
Hussain Bhavnagarwala is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
1
This is an interesting problem, but I don't think that a mathematics community is really the right community to answer it. There is not an AutoCAD SE site (there seems to have been a proposal for one in the past, but it failed to attract much interest), but there are questions about CAD on SuperUser.
– Xander Henderson
1 hour ago
Doesn't Autocad support freeform curves and splines ?
– Yves Daoust
1 hour ago
It does support splines, not sure how to get the points that define the curve. I can get as many points from the real drawing but how do I ensure that it is accurate ?
– Hussain Bhavnagarwala
1 hour ago
add a comment |Â
up vote
2
down vote
favorite
up vote
2
down vote
favorite
My uncle makes hand drawings of furniture on a large piece of chart paper at 1:1 scale. He has recently passed away. I have the task of converting those hand drawings into Autocad drawings. The straight lines are easy to draw. But the curves of the furniture are very hard to replicate exactly. I need to be as precise as possible.
Currently I mark points on the curve and measure the distance from a reference line and then recreate that on the computer.This is extremely time consuming.
Is there a mathematical way in which I can solve this problem.Either by getting the equation of the curve or something ?
geometry curves applications
asked 1 hour ago
Hussain Bhavnagarwala
132
New contributor
Hussain Bhavnagarwala is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
My uncle makes hand drawings of furniture on a large piece of chart paper at 1:1 scale. He has recently passed away. I have the task of converting those hand drawings into Autocad drawings. The straight lines are easy to draw. But the curves of the furniture are very hard to replicate exactly. I need to be as precise as possible.
Currently I mark points on the curve and measure the distance from a reference line and then recreate that on the computer.This is extremely time consuming.
Is there a mathematical way in which I can solve this problem.Either by getting the equation of the curve or something ?
geometry curves applications
geometry curves applications
asked 1 hour ago
Hussain Bhavnagarwala
132
New contributor
Hussain Bhavnagarwala is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
Hussain Bhavnagarwala
132
New contributor
Hussain Bhavnagarwala is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
Hussain Bhavnagarwala
132
New contributor
Hussain Bhavnagarwala is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
Hussain Bhavnagarwala
132
asked 1 hour ago
Hussain Bhavnagarwala
132
132
New contributor
Hussain Bhavnagarwala is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Hussain Bhavnagarwala is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Hussain Bhavnagarwala is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
1
This is an interesting problem, but I don't think that a mathematics community is really the right community to answer it. There is not an AutoCAD SE site (there seems to have been a proposal for one in the past, but it failed to attract much interest), but there are questions about CAD on SuperUser.
– Xander Henderson
1 hour ago
Doesn't Autocad support freeform curves and splines ?
– Yves Daoust
1 hour ago
It does support splines, not sure how to get the points that define the curve. I can get as many points from the real drawing but how do I ensure that it is accurate ?
– Hussain Bhavnagarwala
1 hour ago
add a comment |Â
1
This is an interesting problem, but I don't think that a mathematics community is really the right community to answer it. There is not an AutoCAD SE site (there seems to have been a proposal for one in the past, but it failed to attract much interest), but there are questions about CAD on SuperUser.
– Xander Henderson
1 hour ago
Doesn't Autocad support freeform curves and splines ?
– Yves Daoust
1 hour ago
It does support splines, not sure how to get the points that define the curve. I can get as many points from the real drawing but how do I ensure that it is accurate ?
– Hussain Bhavnagarwala
1 hour ago
1
1
This is an interesting problem, but I don't think that a mathematics community is really the right community to answer it. There is not an AutoCAD SE site (there seems to have been a proposal for one in the past, but it failed to attract much interest), but there are questions about CAD on SuperUser.
– Xander Henderson
1 hour ago
This is an interesting problem, but I don't think that a mathematics community is really the right community to answer it. There is not an AutoCAD SE site (there seems to have been a proposal for one in the past, but it failed to attract much interest), but there are questions about CAD on SuperUser.
– Xander Henderson
1 hour ago
Doesn't Autocad support freeform curves and splines ?
– Yves Daoust
1 hour ago
Doesn't Autocad support freeform curves and splines ?
– Yves Daoust
1 hour ago
It does support splines, not sure how to get the points that define the curve. I can get as many points from the real drawing but how do I ensure that it is accurate ?
– Hussain Bhavnagarwala
1 hour ago
It does support splines, not sure how to get the points that define the curve. I can get as many points from the real drawing but how do I ensure that it is accurate ?
– Hussain Bhavnagarwala
1 hour ago
add a comment |Â
3 Answers
3
active
oldest
votes
up vote
3
down vote
accepted
If your CAD software does not support freeform curves (which I doubt), go for natural cubic splines. https://en.wikipedia.org/wiki/Spline_(mathematics)#Algorithm_for_computing_natural_cubic_splines
You will define the curves from a set of interpolating points. When there are angular points, start a new spline (which they didn't do in the example below).
Note that cubic splines can be converted to cubic Beziers, which are quite commonplace. (You can also try Beziers straight away, but fitting to an existing curve can be more difficult.)
answered 1 hour ago
Yves Daoust
119k667215
Does using a larger set of interpolation points make the curve more accurate? , is there a way to find the minimum number of points that I would need to pick from the drawing to make it as accurate as possible.
– Hussain Bhavnagarwala
1 hour ago
"as accurate as possible" does not really make sense, you'd better say as "as accurate as useful". Yes, more points mean better accuracy, but I don't know how fast, unfortunately.
– Yves Daoust
53 mins ago
This method seems good as I have a cad software that has splines. I will then cross check it with original drawing and see if it matches as close as possible.
– Hussain Bhavnagarwala
47 mins ago
add a comment |Â
up vote
1
down vote
If You can guess the curve could be approximately the graph of a rational function of say degree $n$ i.e. the graph of a function of the form
$$f(x)=a_nx^n+a_n-1x^n-1+...+a_0$$
where $a_jinmathbbR$ for $j=0,...,n$ and $a_nneq 0$ and in Your case $ngeq 2$ and You find $n+1$ points on the curve $P_1(x_1,y_1),...,P_n+1(x_n+1,y_n+1)$ after a suitable choice of Your coordiante system, You get a system of linear equations
$$f(x_j)=a_nx_j^n+a_n-1x_j^n-1+...+a_0=y_j,j=1,...,n+1$$
that You can solve ( if it is solvable ) by Gaussian elimination.
answered 1 hour ago
Peter Melech
2,321813
Since the curve is hand drawn its not just a single smooth curve, its more like a spline with multiple node points. From the little mathematics that I know you are asking to find the order of the equation and then use n+1 points and then after that I am a bit lost. Is it possible to dumb it down a bit. I am not sure what is gaussian elimination or if I understood the last equation correctly.
– Hussain Bhavnagarwala
1 hour ago
I didn´t see the curve, but if it is for example piecewise smooth as I would suggest if it is about furniture, You could guess the degree ( piecewise)If You solve this system of linear equations You automatically get the equation to the curve namely $y=a_nx^n+...+a_0$, however this is only an idea how such a problem could be tackled mathematically and as pointed out in the comments using autocad or similar programs is much better suited to Your task
– Peter Melech
1 hour ago
2
Polynomial and rational interpolation quickly become unstable when then number of points increases. Piecewise interpolation is better behaved.
– Yves Daoust
1 hour ago
add a comment |Â
up vote
1
down vote
This is the Freedom Tower in $Iran-Tehran$.
And this is how I drew it with 202 equations:
Go to www.desmos.com and paste your picture in the background and try to trace the equation over that. At the beginning it may take some times but it will be easier as you practice more.
answered 57 mins ago
Seyed
6,19831222
Thank you Seyed. A quick question " Will the dimensions still remain the same ?". The reason behind this is that the drawings that I make will be further used for production of the furniture.
– Hussain Bhavnagarwala
55 mins ago
@HussainBhavnagarwala, the coordinates of $x$ and $y$ are in scale.
– Seyed
52 mins ago
How is this an answer ? You tell nothing about the equations.
– Yves Daoust
51 mins ago
@YvesDaoust, do I have to post all 202 equations in here?
– Seyed
50 mins ago
I am not sure how to use desmos yet , but will give it a try !! @Seyed could you guide me in the direction to learn this software.
– Hussain Bhavnagarwala
46 mins ago
 |Â
show 2 more comments
3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
3
down vote
accepted
If your CAD software does not support freeform curves (which I doubt), go for natural cubic splines. https://en.wikipedia.org/wiki/Spline_(mathematics)#Algorithm_for_computing_natural_cubic_splines
You will define the curves from a set of interpolating points. When there are angular points, start a new spline (which they didn't do in the example below).
Note that cubic splines can be converted to cubic Beziers, which are quite commonplace. (You can also try Beziers straight away, but fitting to an existing curve can be more difficult.)
answered 1 hour ago
Yves Daoust
119k667215
Does using a larger set of interpolation points make the curve more accurate? , is there a way to find the minimum number of points that I would need to pick from the drawing to make it as accurate as possible.
– Hussain Bhavnagarwala
1 hour ago
"as accurate as possible" does not really make sense, you'd better say as "as accurate as useful". Yes, more points mean better accuracy, but I don't know how fast, unfortunately.
– Yves Daoust
53 mins ago
This method seems good as I have a cad software that has splines. I will then cross check it with original drawing and see if it matches as close as possible.
– Hussain Bhavnagarwala
47 mins ago
add a comment |Â
up vote
3
down vote
accepted
If your CAD software does not support freeform curves (which I doubt), go for natural cubic splines. https://en.wikipedia.org/wiki/Spline_(mathematics)#Algorithm_for_computing_natural_cubic_splines
You will define the curves from a set of interpolating points. When there are angular points, start a new spline (which they didn't do in the example below).
Note that cubic splines can be converted to cubic Beziers, which are quite commonplace. (You can also try Beziers straight away, but fitting to an existing curve can be more difficult.)
answered 1 hour ago
Yves Daoust
119k667215
Does using a larger set of interpolation points make the curve more accurate? , is there a way to find the minimum number of points that I would need to pick from the drawing to make it as accurate as possible.
– Hussain Bhavnagarwala
1 hour ago
"as accurate as possible" does not really make sense, you'd better say as "as accurate as useful". Yes, more points mean better accuracy, but I don't know how fast, unfortunately.
– Yves Daoust
53 mins ago
This method seems good as I have a cad software that has splines. I will then cross check it with original drawing and see if it matches as close as possible.
– Hussain Bhavnagarwala
47 mins ago
add a comment |Â
up vote
3
down vote
accepted
up vote
3
down vote
accepted
If your CAD software does not support freeform curves (which I doubt), go for natural cubic splines. https://en.wikipedia.org/wiki/Spline_(mathematics)#Algorithm_for_computing_natural_cubic_splines
You will define the curves from a set of interpolating points. When there are angular points, start a new spline (which they didn't do in the example below).
Note that cubic splines can be converted to cubic Beziers, which are quite commonplace. (You can also try Beziers straight away, but fitting to an existing curve can be more difficult.)
answered 1 hour ago
Yves Daoust
119k667215
If your CAD software does not support freeform curves (which I doubt), go for natural cubic splines. https://en.wikipedia.org/wiki/Spline_(mathematics)#Algorithm_for_computing_natural_cubic_splines
You will define the curves from a set of interpolating points. When there are angular points, start a new spline (which they didn't do in the example below).
Note that cubic splines can be converted to cubic Beziers, which are quite commonplace. (You can also try Beziers straight away, but fitting to an existing curve can be more difficult.)
answered 1 hour ago
Yves Daoust
119k667215
edited 1 hour ago
answered 1 hour ago
Yves Daoust
119k667215
answered 1 hour ago
Yves Daoust
119k667215
answered 1 hour ago
Yves Daoust
119k667215
119k667215
Does using a larger set of interpolation points make the curve more accurate? , is there a way to find the minimum number of points that I would need to pick from the drawing to make it as accurate as possible.
– Hussain Bhavnagarwala
1 hour ago
"as accurate as possible" does not really make sense, you'd better say as "as accurate as useful". Yes, more points mean better accuracy, but I don't know how fast, unfortunately.
– Yves Daoust
53 mins ago
This method seems good as I have a cad software that has splines. I will then cross check it with original drawing and see if it matches as close as possible.
– Hussain Bhavnagarwala
47 mins ago
add a comment |Â
Does using a larger set of interpolation points make the curve more accurate? , is there a way to find the minimum number of points that I would need to pick from the drawing to make it as accurate as possible.
– Hussain Bhavnagarwala
1 hour ago
"as accurate as possible" does not really make sense, you'd better say as "as accurate as useful". Yes, more points mean better accuracy, but I don't know how fast, unfortunately.
– Yves Daoust
53 mins ago
This method seems good as I have a cad software that has splines. I will then cross check it with original drawing and see if it matches as close as possible.
– Hussain Bhavnagarwala
47 mins ago
Does using a larger set of interpolation points make the curve more accurate? , is there a way to find the minimum number of points that I would need to pick from the drawing to make it as accurate as possible.
– Hussain Bhavnagarwala
1 hour ago
Does using a larger set of interpolation points make the curve more accurate? , is there a way to find the minimum number of points that I would need to pick from the drawing to make it as accurate as possible.
– Hussain Bhavnagarwala
1 hour ago
"as accurate as possible" does not really make sense, you'd better say as "as accurate as useful". Yes, more points mean better accuracy, but I don't know how fast, unfortunately.
– Yves Daoust
53 mins ago
"as accurate as possible" does not really make sense, you'd better say as "as accurate as useful". Yes, more points mean better accuracy, but I don't know how fast, unfortunately.
– Yves Daoust
53 mins ago
This method seems good as I have a cad software that has splines. I will then cross check it with original drawing and see if it matches as close as possible.
– Hussain Bhavnagarwala
47 mins ago
This method seems good as I have a cad software that has splines. I will then cross check it with original drawing and see if it matches as close as possible.
– Hussain Bhavnagarwala
47 mins ago
add a comment |Â
up vote
1
down vote
If You can guess the curve could be approximately the graph of a rational function of say degree $n$ i.e. the graph of a function of the form
$$f(x)=a_nx^n+a_n-1x^n-1+...+a_0$$
where $a_jinmathbbR$ for $j=0,...,n$ and $a_nneq 0$ and in Your case $ngeq 2$ and You find $n+1$ points on the curve $P_1(x_1,y_1),...,P_n+1(x_n+1,y_n+1)$ after a suitable choice of Your coordiante system, You get a system of linear equations
$$f(x_j)=a_nx_j^n+a_n-1x_j^n-1+...+a_0=y_j,j=1,...,n+1$$
that You can solve ( if it is solvable ) by Gaussian elimination.
answered 1 hour ago
Peter Melech
2,321813
Since the curve is hand drawn its not just a single smooth curve, its more like a spline with multiple node points. From the little mathematics that I know you are asking to find the order of the equation and then use n+1 points and then after that I am a bit lost. Is it possible to dumb it down a bit. I am not sure what is gaussian elimination or if I understood the last equation correctly.
– Hussain Bhavnagarwala
1 hour ago
I didn´t see the curve, but if it is for example piecewise smooth as I would suggest if it is about furniture, You could guess the degree ( piecewise)If You solve this system of linear equations You automatically get the equation to the curve namely $y=a_nx^n+...+a_0$, however this is only an idea how such a problem could be tackled mathematically and as pointed out in the comments using autocad or similar programs is much better suited to Your task
– Peter Melech
1 hour ago
2
Polynomial and rational interpolation quickly become unstable when then number of points increases. Piecewise interpolation is better behaved.
– Yves Daoust
1 hour ago
add a comment |Â
up vote
1
down vote
If You can guess the curve could be approximately the graph of a rational function of say degree $n$ i.e. the graph of a function of the form
$$f(x)=a_nx^n+a_n-1x^n-1+...+a_0$$
where $a_jinmathbbR$ for $j=0,...,n$ and $a_nneq 0$ and in Your case $ngeq 2$ and You find $n+1$ points on the curve $P_1(x_1,y_1),...,P_n+1(x_n+1,y_n+1)$ after a suitable choice of Your coordiante system, You get a system of linear equations
$$f(x_j)=a_nx_j^n+a_n-1x_j^n-1+...+a_0=y_j,j=1,...,n+1$$
that You can solve ( if it is solvable ) by Gaussian elimination.
answered 1 hour ago
Peter Melech
2,321813
Since the curve is hand drawn its not just a single smooth curve, its more like a spline with multiple node points. From the little mathematics that I know you are asking to find the order of the equation and then use n+1 points and then after that I am a bit lost. Is it possible to dumb it down a bit. I am not sure what is gaussian elimination or if I understood the last equation correctly.
– Hussain Bhavnagarwala
1 hour ago
I didn´t see the curve, but if it is for example piecewise smooth as I would suggest if it is about furniture, You could guess the degree ( piecewise)If You solve this system of linear equations You automatically get the equation to the curve namely $y=a_nx^n+...+a_0$, however this is only an idea how such a problem could be tackled mathematically and as pointed out in the comments using autocad or similar programs is much better suited to Your task
– Peter Melech
1 hour ago
2
Polynomial and rational interpolation quickly become unstable when then number of points increases. Piecewise interpolation is better behaved.
– Yves Daoust
1 hour ago
add a comment |Â
up vote
1
down vote
up vote
1
down vote
If You can guess the curve could be approximately the graph of a rational function of say degree $n$ i.e. the graph of a function of the form
$$f(x)=a_nx^n+a_n-1x^n-1+...+a_0$$
where $a_jinmathbbR$ for $j=0,...,n$ and $a_nneq 0$ and in Your case $ngeq 2$ and You find $n+1$ points on the curve $P_1(x_1,y_1),...,P_n+1(x_n+1,y_n+1)$ after a suitable choice of Your coordiante system, You get a system of linear equations
$$f(x_j)=a_nx_j^n+a_n-1x_j^n-1+...+a_0=y_j,j=1,...,n+1$$
that You can solve ( if it is solvable ) by Gaussian elimination.
answered 1 hour ago
Peter Melech
2,321813
If You can guess the curve could be approximately the graph of a rational function of say degree $n$ i.e. the graph of a function of the form
$$f(x)=a_nx^n+a_n-1x^n-1+...+a_0$$
where $a_jinmathbbR$ for $j=0,...,n$ and $a_nneq 0$ and in Your case $ngeq 2$ and You find $n+1$ points on the curve $P_1(x_1,y_1),...,P_n+1(x_n+1,y_n+1)$ after a suitable choice of Your coordiante system, You get a system of linear equations
$$f(x_j)=a_nx_j^n+a_n-1x_j^n-1+...+a_0=y_j,j=1,...,n+1$$
that You can solve ( if it is solvable ) by Gaussian elimination.
answered 1 hour ago
Peter Melech
2,321813
answered 1 hour ago
Peter Melech
2,321813
answered 1 hour ago
Peter Melech
2,321813
answered 1 hour ago
Peter Melech
2,321813
2,321813
Since the curve is hand drawn its not just a single smooth curve, its more like a spline with multiple node points. From the little mathematics that I know you are asking to find the order of the equation and then use n+1 points and then after that I am a bit lost. Is it possible to dumb it down a bit. I am not sure what is gaussian elimination or if I understood the last equation correctly.
– Hussain Bhavnagarwala
1 hour ago
I didn´t see the curve, but if it is for example piecewise smooth as I would suggest if it is about furniture, You could guess the degree ( piecewise)If You solve this system of linear equations You automatically get the equation to the curve namely $y=a_nx^n+...+a_0$, however this is only an idea how such a problem could be tackled mathematically and as pointed out in the comments using autocad or similar programs is much better suited to Your task
– Peter Melech
1 hour ago
2
Polynomial and rational interpolation quickly become unstable when then number of points increases. Piecewise interpolation is better behaved.
– Yves Daoust
1 hour ago
add a comment |Â
Since the curve is hand drawn its not just a single smooth curve, its more like a spline with multiple node points. From the little mathematics that I know you are asking to find the order of the equation and then use n+1 points and then after that I am a bit lost. Is it possible to dumb it down a bit. I am not sure what is gaussian elimination or if I understood the last equation correctly.
– Hussain Bhavnagarwala
1 hour ago
I didn´t see the curve, but if it is for example piecewise smooth as I would suggest if it is about furniture, You could guess the degree ( piecewise)If You solve this system of linear equations You automatically get the equation to the curve namely $y=a_nx^n+...+a_0$, however this is only an idea how such a problem could be tackled mathematically and as pointed out in the comments using autocad or similar programs is much better suited to Your task
– Peter Melech
1 hour ago
2
Polynomial and rational interpolation quickly become unstable when then number of points increases. Piecewise interpolation is better behaved.
– Yves Daoust
1 hour ago
Since the curve is hand drawn its not just a single smooth curve, its more like a spline with multiple node points. From the little mathematics that I know you are asking to find the order of the equation and then use n+1 points and then after that I am a bit lost. Is it possible to dumb it down a bit. I am not sure what is gaussian elimination or if I understood the last equation correctly.
– Hussain Bhavnagarwala
1 hour ago
Since the curve is hand drawn its not just a single smooth curve, its more like a spline with multiple node points. From the little mathematics that I know you are asking to find the order of the equation and then use n+1 points and then after that I am a bit lost. Is it possible to dumb it down a bit. I am not sure what is gaussian elimination or if I understood the last equation correctly.
– Hussain Bhavnagarwala
1 hour ago
I didn´t see the curve, but if it is for example piecewise smooth as I would suggest if it is about furniture, You could guess the degree ( piecewise)If You solve this system of linear equations You automatically get the equation to the curve namely $y=a_nx^n+...+a_0$, however this is only an idea how such a problem could be tackled mathematically and as pointed out in the comments using autocad or similar programs is much better suited to Your task
– Peter Melech
1 hour ago
I didn´t see the curve, but if it is for example piecewise smooth as I would suggest if it is about furniture, You could guess the degree ( piecewise)If You solve this system of linear equations You automatically get the equation to the curve namely $y=a_nx^n+...+a_0$, however this is only an idea how such a problem could be tackled mathematically and as pointed out in the comments using autocad or similar programs is much better suited to Your task
– Peter Melech
1 hour ago
2
2
Polynomial and rational interpolation quickly become unstable when then number of points increases. Piecewise interpolation is better behaved.
– Yves Daoust
1 hour ago
Polynomial and rational interpolation quickly become unstable when then number of points increases. Piecewise interpolation is better behaved.
– Yves Daoust
1 hour ago
add a comment |Â
up vote
1
down vote
This is the Freedom Tower in $Iran-Tehran$.
And this is how I drew it with 202 equations:
Go to www.desmos.com and paste your picture in the background and try to trace the equation over that. At the beginning it may take some times but it will be easier as you practice more.
answered 57 mins ago
Seyed
6,19831222
Thank you Seyed. A quick question " Will the dimensions still remain the same ?". The reason behind this is that the drawings that I make will be further used for production of the furniture.
– Hussain Bhavnagarwala
55 mins ago
@HussainBhavnagarwala, the coordinates of $x$ and $y$ are in scale.
– Seyed
52 mins ago
How is this an answer ? You tell nothing about the equations.
– Yves Daoust
51 mins ago
@YvesDaoust, do I have to post all 202 equations in here?
– Seyed
50 mins ago
I am not sure how to use desmos yet , but will give it a try !! @Seyed could you guide me in the direction to learn this software.
– Hussain Bhavnagarwala
46 mins ago
 |Â
show 2 more comments
up vote
1
down vote
This is the Freedom Tower in $Iran-Tehran$.
And this is how I drew it with 202 equations:
Go to www.desmos.com and paste your picture in the background and try to trace the equation over that. At the beginning it may take some times but it will be easier as you practice more.
answered 57 mins ago
Seyed
6,19831222
Thank you Seyed. A quick question " Will the dimensions still remain the same ?". The reason behind this is that the drawings that I make will be further used for production of the furniture.
– Hussain Bhavnagarwala
55 mins ago
@HussainBhavnagarwala, the coordinates of $x$ and $y$ are in scale.
– Seyed
52 mins ago
How is this an answer ? You tell nothing about the equations.
– Yves Daoust
51 mins ago
@YvesDaoust, do I have to post all 202 equations in here?
– Seyed
50 mins ago
I am not sure how to use desmos yet , but will give it a try !! @Seyed could you guide me in the direction to learn this software.
– Hussain Bhavnagarwala
46 mins ago
 |Â
show 2 more comments
up vote
1
down vote
up vote
1
down vote
This is the Freedom Tower in $Iran-Tehran$.
And this is how I drew it with 202 equations:
Go to www.desmos.com and paste your picture in the background and try to trace the equation over that. At the beginning it may take some times but it will be easier as you practice more.
answered 57 mins ago
Seyed
6,19831222
This is the Freedom Tower in $Iran-Tehran$.
And this is how I drew it with 202 equations:
Go to www.desmos.com and paste your picture in the background and try to trace the equation over that. At the beginning it may take some times but it will be easier as you practice more.
answered 57 mins ago
Seyed
6,19831222
edited 55 mins ago
answered 57 mins ago
Seyed
6,19831222
answered 57 mins ago
Seyed
6,19831222
answered 57 mins ago
Seyed
6,19831222
6,19831222
Thank you Seyed. A quick question " Will the dimensions still remain the same ?". The reason behind this is that the drawings that I make will be further used for production of the furniture.
– Hussain Bhavnagarwala
55 mins ago
@HussainBhavnagarwala, the coordinates of $x$ and $y$ are in scale.
– Seyed
52 mins ago
How is this an answer ? You tell nothing about the equations.
– Yves Daoust
51 mins ago
@YvesDaoust, do I have to post all 202 equations in here?
– Seyed
50 mins ago
I am not sure how to use desmos yet , but will give it a try !! @Seyed could you guide me in the direction to learn this software.
– Hussain Bhavnagarwala
46 mins ago
 |Â
show 2 more comments
Thank you Seyed. A quick question " Will the dimensions still remain the same ?". The reason behind this is that the drawings that I make will be further used for production of the furniture.
– Hussain Bhavnagarwala
55 mins ago
@HussainBhavnagarwala, the coordinates of $x$ and $y$ are in scale.
– Seyed
52 mins ago
How is this an answer ? You tell nothing about the equations.
– Yves Daoust
51 mins ago
@YvesDaoust, do I have to post all 202 equations in here?
– Seyed
50 mins ago
I am not sure how to use desmos yet , but will give it a try !! @Seyed could you guide me in the direction to learn this software.
– Hussain Bhavnagarwala
46 mins ago
Thank you Seyed. A quick question " Will the dimensions still remain the same ?". The reason behind this is that the drawings that I make will be further used for production of the furniture.
– Hussain Bhavnagarwala
55 mins ago
Thank you Seyed. A quick question " Will the dimensions still remain the same ?". The reason behind this is that the drawings that I make will be further used for production of the furniture.
– Hussain Bhavnagarwala
55 mins ago
@HussainBhavnagarwala, the coordinates of $x$ and $y$ are in scale.
– Seyed
52 mins ago
@HussainBhavnagarwala, the coordinates of $x$ and $y$ are in scale.
– Seyed
52 mins ago
How is this an answer ? You tell nothing about the equations.
– Yves Daoust
51 mins ago
How is this an answer ? You tell nothing about the equations.
– Yves Daoust
51 mins ago
@YvesDaoust, do I have to post all 202 equations in here?
– Seyed
50 mins ago
@YvesDaoust, do I have to post all 202 equations in here?
– Seyed
50 mins ago
I am not sure how to use desmos yet , but will give it a try !! @Seyed could you guide me in the direction to learn this software.
– Hussain Bhavnagarwala
46 mins ago
I am not sure how to use desmos yet , but will give it a try !! @Seyed could you guide me in the direction to learn this software.
– Hussain Bhavnagarwala
46 mins ago
 |Â
show 2 more comments
Hussain Bhavnagarwala is a new contributor. Be nice, and check out our Code of Conduct.
Hussain Bhavnagarwala is a new contributor. Be nice, and check out our Code of Conduct.
Hussain Bhavnagarwala is a new contributor. Be nice, and check out our Code of Conduct.
Hussain Bhavnagarwala is a new contributor. Be nice, and check out our Code of Conduct.
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1
This is an interesting problem, but I don't think that a mathematics community is really the right community to answer it. There is not an AutoCAD SE site (there seems to have been a proposal for one in the past, but it failed to attract much interest), but there are questions about CAD on SuperUser.
– Xander Henderson
1 hour ago
Doesn't Autocad support freeform curves and splines ?
– Yves Daoust
1 hour ago
It does support splines, not sure how to get the points that define the curve. I can get as many points from the real drawing but how do I ensure that it is accurate ?
– Hussain Bhavnagarwala
1 hour ago