A 3D shape retrieval method for orthogonal fringe projection based on a combination of variational image decomposition and variational mode decomposition

• We present a new method for 3D shape retrieval from an orthogonal composite fringe projection pattern based on a combination of variational image decomposition and variational mode decomposition.
• We propose a new image decomposition model in order to efficiently extract the orthogonal fringes.
• We introduce the advanced variational mode decomposition method to separate the horizontal and vertical fringes from the orthogonal fringes.
• Our method outperforms the recent, related and advanced differential 3D shape retrieval method (D3D) in terms of both visual quality and shape estimation errors.

The orthogonal fringe projection technique has as wide as long practical application nowadays. In this paper, we propose a 3D shape retrieval method for orthogonal composite fringe projection based on a combination of variational image decomposition (VID) and variational mode decomposition (VMD). We propose a new image decomposition model to extract the orthogonal fringe. Then we introduce the VMD method to separate the horizontal and vertical fringe from the orthogonal fringe. Lastly, the 3D shape information is obtained by the differential 3D shape retrieval method (D3D). We test the proposed method on a simulated pattern and two actual objects with edges or abrupt changes in height, and compare with the recent, related and advanced differential 3D shape retrieval method (D3D) in terms of both quantitative evaluation and visual quality. The experimental results have demonstrated the validity of the proposed method.