“…For instance, surgical robot applications will benefit from the development of manipulators capable of avoiding collision with different elements involved in surgery (Lueth and Bier, 1999). Considerable research activity has been carried out in order to obtain optimal paths with serial robots, and the corresponding literature is very rich (Barraquand and Latombe, 1991;Berenson et al, 2009;Bohlin and Kavraki, 2000;Ceccarelli et al, 1996;Da Graça et al, 2010;Fang and Dissanayake, 1998;Gu and Ceccarelli, 2012;Khatib, 1986;Lahouar et al, 2006;Lin et al, 1983;Ong and Gilbert, 1998;Saramago and Valder, 2001;Saramago and Ceccarelli, 2004;Savavanan et al, 2008;Shin and Mckay, 1986;Simeon et al, 2000).…”