Abstract:The re-entry vehicle will experience severe heat flow loads during its return to the atmosphere, requiring the design of an insulated tile-type thermal protection system for the vehicle. Due to the differences in the heat flow density distribution on the surface of the vehicle, a step in the thickness of the designed thermal protection system occurs, resulting in a poorly shaped internal surface of the thermal protection system, which is not smooth.The article proposes a smoothing algorithm for the endomorphic surface, which takes the position of the endomorphic surface type value points of the thermal protection system as the optimization object to smoothen the endomorphic surface, and fits the smoothened double-three times B-spline surface according to the coordinates of the processed endomorphic surface type value points, and the folding inflection angle of each node of the endomorphic surface is reduced to less than 10° which solves the thickness step problem of the thermal protection system, and the method is an effective smoothing algorithm.