Refer to the UIColor documentation.
In Swift, you have to call a convenience initializer. This is because in Swift, all Objective-C class methods which return an instance of their class become convenience initializers.
Here’s how it looks in Swift:
self.view.backgroundColor = UIColor(patternImage: UIImage(named: "background.png"))
+ (UIColor *)colorWithPatternImage:(UIImage *)image returns a UIColor instance, so it will become a convenience initializer in Swift. Similarly, UIImage imageNamed: becomes init(patternImage image: UIImage!).