An image-based technique that measures the orientation of fibers in a moving web of nonwoven material. At least four light spots on one side of the web are illuminated essentially simultaneously with at least four plane-polarized incident substantially perpendicular light beams having different polarization characteristics. Dispersion of the excident light spots is measured on the opposite side of the web along at least one linear section which is at a known angle relative to the plane of polarization of the corresponding plane-polarized incident light beam, wherein at least one such linear section lies substantially across the center of the transmitted excident light spot and extends substantially across the width of the transmitted excident light spot. Variations in the dispersion of the transmitted excident light spot for the at least four plane-polarized light beams are calculated, and the fiber orientation is estimated from the variations.