Using triangle-based cubic interpolation in generation of object-adaptive fringe pattern

The object-adaptive fringe projection technique employs user-defined uneven spaced fringe patterns, instead of the evenly spaced fringe patterns, to measure the deformation of the object surface. With this technique, the quality of the object-adaptive fringe patterns is very important for guaranteeing the measurement accuracy. In this paper, a simple and effective method to generate such fringe patterns based on the cubic Beziér interpolation is presented. It can realize the cubic Beziér interpolation through three nearest points and thereby the time required for generating the adaptive fringe patterns is significantly reduced without loss of accuracy. Numerical simulations and experiments have demonstrated the accuracy and effectiveness of the proposed method.