Calculus help needed for photography project - curves on a graph

[loungeroom]

Hello everyone,

I am undertaking a photography project at university to overlay curved graphs from equations onto the pattern of the subject in the picture.

I have zero mathematics skills and I have been trying to use Desmos to overlay a curve graph over an image. I can get so far in creating curves from sin/cos and using sliders to fine tune where I want the curved line to go, however my question is:

Is there a way to create a curve function from a list of points on the grid and output it as a function?

I have provided an example of a badly drawn curve on the picture.

Thank you, Bob

 

[Ishuda]

Hello everyone,

I am undertaking a photography project at university to overlay curved graphs from equations onto the pattern of the subject in the picture.

I have zero mathematics skills and I have been trying to use Desmos to overlay a curve graph over an image. I can get so far in creating curves from sin/cos and using sliders to fine tune where I want the curved line to go, however my question is:

Is there a way to create a curve function from a list of points on the grid and output it as a function?

I have provided an example of a badly drawn curve on the picture.

Thank you, Bob

Yes there is. Typically for things like this one might use b-splines. However, there are an infinite number of functions which would go through the points.

 

[Deleted member 4993]

Hello everyone,

I am undertaking a photography project at university to overlay curved graphs from equations onto the pattern of the subject in the picture.

I have zero mathematics skills and I have been trying to use Desmos to overlay a curve graph over an image. I can get so far in creating curves from sin/cos and using sliders to fine tune where I want the curved line to go, however my question is:

Is there a way to create a curve function from a list of points on the grid and output it as a function?

I have provided an example of a badly drawn curve on the picture.

Thank you, Bob

This is a job for FRACTAL Monster!!

 

[loungeroom]

update on curves

Hello guys,

I have been looking into Bezier Curves and they seem to be the shape that I am after.

However is there a way to plot these curves in Desmos and output it as a function such as f(x)=sin(x)+3x rather than some thing like a list of points:
[FONT=KaTeX_Main]

[FONT=KaTeX_Main]y0.53x35.3x215.77x9.[FONT=KaTeX_Math]y=0.53[FONT=KaTeX_Math]x​3​​−5.3[FONT=KaTeX_Math]x[/FONT]​2​​+15.77[FONT=KaTeX_Math]x[/FONT]−9[/FONT][/FONT]

Hope this is clear enough!
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