Constructing surfaces with C₂ continuity based on physics-based shape design in reverse engineering

Aimed at the reconstruction of single-value surfaces in reverse engineering, a method to construct surfaces based on physics-based shape design is developed. The construction of physical model and the handling of boundary restriction are concluded. Some universal algorithms are given, such as the constructing section lines, the creating parametric lines on planar quadrangle and the formula of transverse differential vectors on boundary. As an example, the surfaces of a car's frontal panel are reconstructed to show the validity and characters of the method.