A Multiple-View Geometric Model for Specularity Prediction on Non-Uniformly Curved Surfaces

Specularity prediction is essential to many computer vision applications by giving important visual cues that could be used in Augmented Reality (AR), Simultaneous Localisation and Mapping (SLAM), 3D reconstruction and material modeling, thus improving scene understanding. However, it is a challenging task requiring numerous information from the scene including the camera pose, the geometry of the scene, the light sources and the material properties. Our previous work have addressed this task by creating an explicit model using an ellipsoid whose projection fits the specularity image contours for a given camera pose. These ellipsoid-based approaches belong to a family of models called JOint-LIght MAterial Specularity (JOLIMAS), where we have attempted to gradually remove assumptions on the scene such as the geometry of the specular surfaces. However, our most recent approach is still limited to uniformly curved surfaces. This paper builds upon these methods by generalising JOLIMAS to any surface geometry while improving the quality of specularity prediction, without sacrificing computation performances. The proposed method establishes a link between surface curvature and specularity shape in order to lift the geometric assumptions from previous work. Contrary to previous work, our new model is built from a physics-based local illumination model namely Torrance-Sparrow, providing a better model reconstruction. Specularity prediction using our new model is tested against the most recent JOLIMAS version on both synthetic and real sequences with objects of varying shape curvatures. Our method outperforms previous approaches in specularity prediction, including the real-time setup, as shown in the supplementary material using videos.