Automatic Fiber Placement (AFP) is a principal processing method for carbon fiber reinforced composite materials and is widely applied in the contemporary manufacturing industry. An efficient and rational trajectory generation strategy is the crucial factor determining the quality and efficiency of fiber placement. This article investigates the effectiveness of employing numerical approximation in resolving the problem of determining fiber placement trajectories on triangular mesh molds. The proposed method, based on heat-flow (HF), can directly compute the distance map by solving a straightforward linear system and trace full coverage trajectories. It encompasses two pivotal processes, namely, enforcing initial boundary conditions and updating the vector field, and is capable of generating the expected full coverage equidistant trajectories without any gaps or overlaps. It can handle complex molds that are arduous to be expressed through parametric or implicit equations. The experimental simulation further substantiates the feasibility of the proposed method in generating full coverage trajectories and its potential application in AFP.
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