How to Convert Rectangular to Polar Coordinates in Photoshop?

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    Have you ever thought that with just one filter, you could instantly turn a regular photo into a dazzling ring or stripe effect? In this tutorial, we'll quickly show you how to use the Polar Coordinates filter to create a unique visual impact.

    Ready to explore Photoshop's secret tricks? Then let's get started.

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    In this article, you will learn:

    1. What Are Polar Coordinates?
    2. What's the Use of Polar Coordinates in Design?
    3. How to Use Polar Coordinates in Photoshop?
    4. Conclusion

    What Are Polar Coordinates?

    The idea is very simple:

    It turns an image from Cartesian Coordinates into Polar Coordinates, or the other way around.

    Cartesian coordinates vs polar coordinates

    In practice, the image's center point becomes the origin. Pixels left to right map to the radius. Pixels top to bottom map to the angle.

    When you apply the Polar Coordinates distortion, Photoshop warps the image based on the radius and angle you choose.

    In Photoshop, the Polar Coordinates filter gives you two effects:

    • Rectangular to Polar: It turns a flat, rectangular image into a circular "ring" image.
    • Polar to Rectangular: It turns a ring image back into a flat rectangle.

    You can think of it as taking the edges of your picture and wrapping them together to make a circle.

    cartesian to polar coordinates

    If you take a horizontal line image, apply Polar Coordinates, and join its ends, it turns into a ring.

    rectangular to polar coordinates

    If you take a vertical line image, apply Polar Coordinates, and join its ends, it turns into a radial pattern.

    vertical line to polar coordinates

    What's the Use of Polar Coordinates in Design?

    Polar Coordinates is a little‑known Photoshop trick. Designers typically use it for two effects: swirls and radial patterns.

    For example, a swirl like this:

    polar coordinates swirl pattern

    And a radial burst like this:

    Polar Coordinates radial pattern

    You can use these swirl and radial patterns as backgrounds in your design work.

    How to Use Polar Coordinates in Photoshop?

    The Polar Coordinates feature is found under Filter → Distort → Polar Coordinates in the top menu.

    how to use polar coordinates in Photoshop

    In the Polar Coordinates dialog, you'll see two options:

    • Rectangular to Polar
    • Polar to Rectangular

    Photoshop polar coordinates setting

    We almost always choose Rectangular to Polar (the first option). Why?

    Because we usually start with a normal image and turn it into a special effect. Rarely do we take an already warped image and convert it back to a regular photo.

    For example, let's take the photo below and apply a quick Rectangular to Polar test:

    rectangular to polar

    Here's the result:

    rectangular to polar coordinates​

    Of course, this is just the first step. You can build on it, like using this effect as a poster background.

    polar coordinates​ poster

    Why do we mostly use Rectangular to Polar instead of Polar to Rectangular? There's only one reason: it simply doesn't look good!

    polar to rectangular coordinates​

    Conclusion

    In this article, we've simply shared what Polar Coordinates are and how to use them in Photoshop. While Polar Coordinates is a lesser‑known Photoshop tool, give it a try in your design projects, especially Rectangular to Polar, which often delivers really striking results.

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