What is the name of the Japanese art of drawing a Katana?
"Specific martial arts for the katana include; battojutsu, iaido, iaijutsu and kenjutsu. While kenjutsu schools are challenging to find, schools for the other martial arts are even more challenging to find in the United States or anywhere outside Japan.
Battojutsu, literally meaning "the art/science of drawing a sword," and developed in the mid-15th century, is the aspect of swordsmanship focused upon the efficient draw of the sword, cutting down one’s enemy, and returning the sword to its scabbard (saya). The term came into use specifically during the Warring States Period (15th–17th cent.). Closely related to, but predating iaijutsu, battōjutsu training emphasizes defensive counter-attacking. Battojutsu training technically incorporates kata, but generally consist of only a few moves, focusing on stepping up to an enemy, drawing, performing one or more cuts, and sheathing the weapon. Battojutsu exercises tend to lack the elaborateness, as well as the aesthetic considerations of iaijutsu or iaido kata. Finally, note that use of the name alone is not dispositive; what is battōjutsu to one school may be iaijutsu to another.
Iaido, which is translated as "the way of mental presence and immediate reaction," is nominally the modernization of iaijutsu, but in practice is frequently identical to iaijutsu. The replacement of jutsu with do is part of the 20th century emphasis upon personal and spiritual development; an evolution that took place in many martial arts. In the case of iaido, some schools merely changed in name without altering the curriculum, and others embraced the wholesale change from a combat-orientation to spiritual growth.
Iaijutsu, approximately "the art/science of mental presence and immediate reaction", is also the Japanese art of drawing the sword. However, unlike battōjutsu, iaijutsu tends to be technically more complex, and there is a much stronger focus upon perfecting form. The primary technical aspects are smooth, controlled movements of drawing the sword from its scabbard, striking or cutting an opponent, removing blood from the blade, and then replacing the sword in the scabbard.
Kenjutsu literally means "the art/science of the sword". Although the term has been used as a general term to refer to swordsmanship as a whole, in modern times, kenjutsu is more often used to refer to the specific aspect of swordsmanship dealing with partnered sword training. It is the oldest form of training, and at its simplest level, consists of two partners with swords drawn, practicing combat drills. Historically practiced with wooden katana (bokken), this most often consists of pre-determined forms, called kata, or sometimes called kumitachi, and similar to the partner drills practiced in kendo. Among advanced students, kenjutsu training may also include increasing degrees of freestyle practice."
– "Patrick" of http://uk.answers.yahoo.com/