In a neutron texture experiment a spherical sample shape is most desirable because it can reduce the problem of absorption (or attenuation in wider sense) in the sample material. Often an experimenter can't accomplish this geometry. For instance, this occurs when a sample can't be changed (e.g., to keep it for subsequent experiments or because the material is not available in sufficient amount). Attenuation corrections are necessary: - when the attenuation coefficient is large enough, such that even small deviations from a spherical shape could give a significant effect, - when the shape of a sample has distinct dimensions (e.g., plate or thin cylinder or more complicated shape), - when the texture is weak, even small neglected corrections could cause distortions of texture data. This paper presents a survey of our experience in measurements and data treatment of such samples. The program developed to calculate attenuation corrections has been tested by experimental data and applied successfully to the cases listed above.