1. A method for estimating an azimuthal dependence of a parameter of a borehole using logging sensor measurements acquired as a function of azimuth of said logging sensors, the method comprising: (a) rotating a downhole tool in a borehole, the tool including at least one logging sensor and at least one azimuth sensor, data from the logging sensor being operable to assist determination of a parameter of the borehole; (b) causing the at least one logging sensor and the at least one azimuth sensor to acquire at least one data pair, each data pair comprising a logging sensor measurement and a corresponding azimuth; (c) processing a convolution of selected data pairs with a predetermined window function to determine convolved logging sensor data for at least one azimuthal position.