Best way to convert image to DXF

I’m trying to convert a jpg image to a dxf so I can creath a toolpath to draw it in Estlcam. Every way I’ve tried doesn’t output it correctly, I end up with the outlines.
I tried DXF converters online and I tried using Inkscape and the trace bitmap fuction. All result in an outline type DXF.
I’ve attached the JPG and the resulting DXF files. Anyone know how to get a DXF with the lines as they are in the original drawing?

EDIT: It won’t let me attach a DXF so I took a screen shot of the DXF open in Estlcam.

Not sure but I think you might need a “centerline trace” function vs. “outline trace”. I needed this a few years ago to convert jigsaw puzzle images to line work that could be used to create foam puzzles for the grandkids. I cut them with my foam needle cutter attachment for my CNC and it worked quite nicely. Google is your friend, of course, but IIRC I was using the command line versions of pstoedit and autotrace on my Ubuntu box. – David

Thanks, I went searching for software that could do centerline tracing and eventually found a decent solution.
I tried a few different applications/websites and got mostly terrible results. I didn’t get to try autotrace as it kept crashing. It was the windows version but I’ll set up a VM with linux if need be.
I eventually found a website with an embedded converter that worked perfectly. I tried running a few different images through it and got great results every time.
For anyone else wanting to do the same thing, the site is http://online.rapidresizer.com/tracer.php

Super! Glad it worked for you… and thanks for the link. – David

Here is one I have used in the past, but looks like yours does a much better job. Thanks for the link.
https://www.v1engineering.com/forum/topic/kvec-free-raster-to-vector-software/