I have this image in Illustrator:
The stripes are individual ungrouped objects that are perfectly aligned to each other and has no stroke.
When I export the file to emf, insert it in PowerPoint, and ungroup the object the image gets distorted in this way:
I tried exporting the image 10x larger and resizing back to normal size after ungrouping, but it didn't improve the quality. The stripes that have white space between them vary by the zoom level in PowerPoint.