Progressive-Iterative Fairing of Curves and Surfaces with Localized Control Point Adjustment
For computer-aided geometric design, this method provides fine-grained control over shape fairing, reducing reliance on manual interaction.
This paper introduces a progressive-iterative fairing method for curves and surfaces that allows localized control point adjustment, enabling precise shape modifications. Numerical experiments show the method is efficient and effective.
Curve and surface fairing is crucial in computer-aided geometric design, influencing product quality, physical performance, and aesthetics. Traditional methods often apply global modifications, lacking fine-grained control. This paper introduces a novel progressive-iterative fairing method based on control point adjustment. By assigning independent weights to each control point, our approach enables precise, localized shape adjustments. The method functions both globally and locally, allowing for comprehensive shape fairing and fine control over the fairing effect. Furthermore, this paper provides an automatic control point selection method to adjust shapes, thereby eliminating the reliance on manual interaction. Numerical experiments demonstrate the efficiency and effectiveness of our approach.