Dual Euler parametreleri

E.Study mapping states the one to one correspondence between lines of the real three spaceand the points of the Dual Unit Sphere. In this study, using the Study mappingwe obtain the relation between the Euler parameters of the Dual Unit Sphere andthe screws of the corresponding motion in the real three space. In the last chapter, theexponential mapping is used to obtain the relation between the dual orthogonal matricesand the dual skew-symmetric matrices for the rotations of the Dual Unit Sphere.Keywords: Study mapping, Dual Unit Sphere, Euler parameters, dual orthogonal matrix,skew-symmetric matrix, exponential mapping.