4 General construction of time-domain filters for orientation data 1.This paper presents a new scheme that enables us to apply a filter mask (or a convolution filter) to orientation data. 2. The majority of signal processing methods cannot be generalized easily to orientation data due to the inherent non-linearity of the orientation space. 3.The key idea is to transform the orientation data into their analogues in a vector space, to apply a filter mask on them, and then to transform the results back to the orientation space. 4. This scheme gives time-domain filters for orientation data that are computationally efficient and satisfy such important properties as coordinate-invariance, time-invariance, and symmetry.