Create smooth selections in PS from PAPER drawings ,convert to "smooth paths" then paste to AI

Question

*******Enhancement / FMR*********
Brief title for your desired feature:
selections converted to paths in PS, or AI.
How would you like the feature to work?
If you draw with hard edged brush or pen in PS and paste to AI , the trace tool in Ai works very well, for swirls, cartooning, hand drawn perspective illustrations etc,
but if you draw on paper and take a photo, which I do with a camera connected to the pc because it saves a small file size jpeg automatically into bridge, 250kb average,
and open it in PS, to do a magic wand selection of the lines, then refine edge to smooth and tighten it up. It looks great at this point,
Then paste this selection of pixels to Ai for tracing to get crisp vector edges from the selected pixel outline,
or convert the selection to paths first, then paste the paths into Ai,
in both scenarios the resulting trace outline has many jaggy edges, even if pasted into PS as paths, since the paths created in PS from the smoothly made selection still capture any diagonal pixelated edge even if the image is 300ppi and results in showing all the jaggies.
I have tried all the trace settings and variables in AI, from simple through to photoreal.Even if you expand these traced results and use the pathfinder shapemode / unite it still creates crinkle edges. Which results in an hour plus of work redrawing the whole thing.might aswell just use the pen tool to start with.
Trying to use the path/simplify tool is not useful as it smooths out all your shapes and changes the contours of the path too much regardless of angle threshold or curve precision, and the smooth function on the pencil tool changes the paths too much too when trying to smooth out the "jaggies" lines.
I`ve tried creating a "shape" out of the path in PS but its also jaggy as it just replicates the path already made.
tracing with the freeform pen tool in ps is faster than pen but creates uncontrolled edges.
** I was hoping there could be a setting to convert the selection to a vector path minus the jaggies or crinkles that occur on round or diagonal parts of the selection.
Why is this feature important to you?
allows me to freehand sketch on paper, create a selection in PS, convert to path, and paste that vector path into AI , problem is its a jaggy path,
image below is selection in PS
Convert to paths in PS, captures all the jaggies and crinkles,
this sample is hand drawn,
I smoothed and tightened the edges in "refine edge" in PS below. It looks to create a nice contour,
however converting to paths gets in very close and still picks up jaggies, due to the pixel build of imagery.
the result after refine edge dialogue below, I fill with green to copy paste this selection to AI, could also have pasted the channel but chose this, does same result anyway
in Ai below, regardless of trace type, it produces either uneven edges that dont match the pixel contours or if I make a 6 or 16 colour trace or photoreal it creates many jaggied bumpy edges, as I said earlier if I unite it all with path finder I still have to redo all the contours with pencil, the path/simplify command ruins the outlines shapes and corner points. MIght as well just start with pen tool in this case, the long but sure route.
However I`m hoping Adobe can create a formula for this purpose, to get that smooth selection to be a smooth path instead of jaggy bumpy. not sure if I`m making any sense here... is this understood?

Answer 1

the formula could be written to connect the inside corners of the selection steps with a smooth vector line on concave turns (if your viewing the selection from outside the shape, like a "dip" or valley,  and the  vector line would change to connect the outside of each step corner on convex turns (mounds or lumps, "hills") viewed from outside the selected shape. Then this result smoothed to create smooth transition for the vector line.
Like a very tight fit smooth moving average on a stock chart, but perfectly fit to the data as there is no time lag. perhaps look at wavelets, but respecting mitres, I`m not a maths person or programmer but have seen some things that made me consider these,
anyway this tool would speed up my work in PS and AI if possible,,thanks,,