I don’t know two to control it with OH, but I work in lighting so if any pros here can use my thoughts and come up with a solution then I might try it also. You can easily cut LED strips and then solder new connectors. Strip usually comes in 5m runs and has places to cut every 3cm, its pretty obvious if you look at it closely. Then you will need a controller per section. The other type of strip that might help you is called WS2812 or WS2812B, this has individually addressable chips and means you can have one controller sending the message to each with an RGB value. Wsz2812 is more expensive than regular strip but will allow you to do what you want quite well. Think a single line of TV pixels.
EDIT
Sorry just saw a pro answer with the WS2812 solution. Love to hear how it works with openhab!