GroupDocs.Metadata for Java also allows managing XMP metadata in JPEG2000 images. For more details please refer to the following guide: Working with XMP Metadata.
Working with EXIF metadata
The GroupDocs.Metadata API supports handling EXIF metadata in JPEG2000 images. Please find appropriate code samples in the Working with EXIF Metadata section.
More resources
GitHub examples
You may easily run the code above and see the feature in action in our GitHub examples: