A use for Photoshop's Polar Coordinates filter

In a recent Photoshop training session at a manufacturing client, they had some artwork that they needed to "wrap" around a roughly-cone-shaped vase. They had the artwork below, which shows the artwork as you would see it looking at the side of the vase.

However, their vendor wanted the artwork supplied as it would look viewed straight up from the bottom of the vase. They wanted the artwork to appear like this:

The client had tried numerous solutions to no avail. They had tried some of the 3d features of Photoshop Extended, but while good for creating a package mockup, that wasn't exactly what they needed. Here is how we solved the problem:

1. Choose Image > Canvas Size, and make the canvas as tall as it is wide.

2. Select the image, and use Edit > Free Transform to stretch the image to fill the new canvas.

3. Choose Filter > Distort > Polar Coordinates, and choose the Rectangular to Polar option, and click the OK button.

That's all there is to it!