1. Invisalign: A leading clear aligner brand known for its advanced SmartTrack technology, Invisalign is highly popular in North America, Europe, and Asia Pacific. Its global market share is estimated to be over 80%.

2. ClearCorrect: A US-based company that has become a leading competitor of Invisalign. ClearCorrect offers affordable and high-quality aligners with a significant market presence in North America and Europe.

3. SmileDirectClub: Another US-based company focusing on providing affordable, at-home treatments for minor to moderate orthodontic cases. The main market is North America.

4. Candid: Offering at-home aligner treatments, Candid also has a network of physical locations called Candid Studios. The primary market is the United States.

5. Byte: Known for its at-home aligner treatments and proprietary HyperByte® technology for faster treatment, Byte has a presence mainly in the United States.

6. Smilelove: Offering affordable, at-home treatments and a customer-friendly approach, Smilelove is gradually expanding its presence in the United States.

7. WonderSmile: Based in Australia and focusing on the Asia-Pacific region, WonderSmile offers in-office treatments and remote care options through its advanced 3D treatment planning technology.

 8. OrthoSnap: A US-based clear aligner system using a unique manufacturing process that eliminates the need for attachments on teeth. Mainly marketed in the United States.

9. K Line Europe: A German invisible aligner brand that has a strong presence in Europe and the Middle East, K Line Europe offers technologically advanced orthodontic solutions.

10. Angelalign: As a leading Chinese invisible aligner brand, Angelalign has a strong presence across Asia, especially in China, Singapore, and Malaysia.

11. Geniova: Based in Spain, Geniova has developed a hybrid aligner system that combines the best features of braces and aligners, offering treatments across Europe.

12. eXceed: Originating from Sweden, eXceed applies advanced technology for custom-made aligners. They have a significant market share in Europe and are expanding worldwide.

13. Harmonie: A French invisible aligner company with a presence mainly in Europe, offering technologically advanced aligners for aesthetic treatments.

14. NewSmile: A Canadian brand, NewSmile offers affordable aligner options and at-home treatments primarily in the Canadian market.

15. Zendura Dental: This US-based company specializes in innovative dental materials and offers aligners in North America and select global markets.

16. Dentsply Sirona: A well-known dental supply manufacturer, Dentsply Sirona offers the SureSmile clear aligner system, primarily available in the US and European markets.

17. Straight Teeth Direct: A European-based tele-orthodontic company offering remote Orthodontic treatments, Straight Teeth Direct has a significant market share in Europe.

18. Ezsmile: A Chinese invisible aligner brand, Ezsmile focuses on the Asian market with competitive prices and advanced technology.

19. Straumann Group: A Swiss dental company offering a clear aligner system called ClearCorrect, the Straumann Group focuses primarily on Europe and North America.

20. Orthocaps: Based in Germany, Orthocaps offers its TwinAligner® system to provide customized aligners for patients. Its primary market is Europe.

Keep in mind that market shares are constantly changing, and brand presence may vary between regions. This list is not exhaustive and only provides an overview of some of the top invisible orthodontic brands globally.