A multiband imaging system with multi-angle illumination and a processing algorithm for multiband images acquired by the system are presented for extracting goniospectral information of 3D objects. Based on a dichromatic reflection model, multiband images are separated into diffuse and specular components. Then, the model parameters are determined pixelwise and archived. Using these parameters, an image of the 3D object under an arbitrary spectral and spatial distribution of illuminant can be predicted and displayed. A fundamental experiment to confirm the principle of this method is presented.