Method for the evaluation of projection data of an object being examined, determined in particular by means of x-ray computed tomography, comprising the steps: - provision of projection data (g) of an object (f) being examined which are determined along a trajectory (φ) in a multiplicity of projection positions (λ) relative to a co-ordinate origin, - determination of a respective trajectory function (t) for the projection positions (λ), for each of a multiplicity of positions (y) from a reconstruction region (Ω) of dimension n by -- establishing an offset d, which corresponds to the value of a scalar product between the position (y) and the projection position (λ), and a direction vector (r) at the co-ordinate origin, -- establishing a hyperplane of dimension n-1 which runs perpendicular to the direction vector (r) and has the offset d to the co-ordinate origin, -- establishing a number (s) of intersection points where the hyperplane intersects with the trajectory (φ), -- establishing a derivative vector (φ') of the trajectory (φ) according to its trajectory path and calculating the derivative vector (φ') in the projection position (λ), -- establishing an absolute value of a scalar product between the derivative vector (φ') and the position (y) and dividing the absolute value by the number (s), and - transforming the trajectory functions (t) into a frequency domain of dimension n relative to the positions (y), - evaluation of the projection data (g) by means of the transformed trajectory functions to calculate at least one property of the object (f). - provision of projection data (g) of an object (f) being examined which are determined along a trajectory (φ) in a multiplicity of projection positions (λ) relative to a co-ordinate origin, - determination of a respective trajectory function (t) for the projection positions (λ), for each of a multiplicity of positions (y) from a reconstruction region (Ω) of dimension n by -- establishing an offset d, which corresponds to the value of a scalar product between the position (y) and the projection position (λ), and a direction vector (r) at the co-ordinate origin, -- establishing a hyperplane of dimension n-1 which runs perpendicular to the direction vector (r) and has the offset d to the co-ordinate origin, -- establishing a number (s) of intersection points where the hyperplane intersects with the trajectory (φ), -- establishing a derivative vector (φ') of the trajectory (φ) according to its trajectory path and calculating the derivative vector (φ') in the projection position (λ), -- establishing an absolute value of a scalar product between the derivative vector (φ') and the position (y) and dividing the absolute value by the number (s), and -- establishing an offset d, which corresponds to the value of a scalar product between the position (y) and the projection position (λ), and a direction vector (r) at the co-ordinate origin, -- establishing a hyperplane of dimension n-1 which runs perpendicular to the direction vector (r) and has the offset d to the co-ordinate origin, -- establishing a number (s) of intersection points where the hyperplane intersects with the trajectory (φ), -- establishing a derivative vector (φ') of the trajectory (φ) according to its trajectory path and calculating the derivative vector (φ') in the projection position (λ), -- establishing an absolute value of a scalar product between the derivative vector (φ') and the position (y) and dividing the absolute value by the number (s), and - transforming the trajectory functions (t) into a frequency domain of dimension n relative to the positions (y), - evaluation of the projection data (g) by means of the transformed trajectory functions to calculate at least one property of the object (f).