The present thesis deals with the construction of camera movements around a fixed object. The movements are described by means of rational curves. The thesis presents how that is performed by using P-curves and quaternions. It describes Bernstein basis polynomials, the meaning of control points and the control polygon, and also the comparison of curve representation in Bernstein basis and in standard basis. Adapted and directed frames are defined as well as the difference between them. In addition, rotation minimizing frames and the conditions for their constructions are described. In conclusion, a simple interpolation problem of a P-curve construction is presented, which interpolates the first and the last point and can be equipped with a rotation minimizing directed frame. The results are shown in several numerical examples.
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