So it should be well fitting on the blade. Good shape is necessary.
The decoration on it is secondary.
Double habaki
This type is made of two pieces.
(gold foiled)
(solid gold)
Dai-tsuki habaki (based style)
This is one type of double habaki. It has flat base at the bottom of habaki.
"dai-tsuki" means "based".
(solid gold)
(The shape of blade is not a matter of habaki style.)
Koshi-Yujo style
It has the special file work on the lower part of it.
This file mark is called "Yujo". It was a famous metal worker's name.
And "koshi" means lower part.
(silver) 
(gold
foiled)
Kaga style
It was in a fashion in Kaga province.
The crossing deep grooves is its characteristic.
(gold foiled)
Tachi style
It is common on tachi style mounts.
The shape is slim and neat.
(yamagane:
un-refined copper)
Rock style
The design looks like rock.
(gold foiled)
The lower part is the rock style.
Yoko-yasuri style
