Obtaining a 3-D orientation of projective textures using a morphological method

On the premise that the texture image is a planar surface, we propose a new morphological approach to obtain a 3-D surface orientation using the variation of texture image caused by projective distortions. Centroids of texels can be obtained from the farthest texel to the nearest texel sequentially by recursive erosions, so a texture image is segmented into several sub-regions. Using major axes and sizes of structuring elements in segmented regions, we can compute a vanishing point and obtain a 3-D surface orientation. In the experiments, we have ascertained the proposed algorithm was more effective than the aggregation transform.

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