A hull surface transformation method based on fairing differential equation is developed in this paper. The hull form transformation function, which satisfies both the fairing differential equation and the constrain conditions of the design, is constructed according to design requirements of the hull surface for different design tasks. Transforming the hull surface based on NURBS with the hull form transformation function is realized with this method. It is proved that the transformation will not change C2 continuity of the hull surface. As examples of application, transformation functions for local modification, global transformation and UV degree transformation of the hull surface are presented. The method is proved to be practicable and can be used in engineering by applying it to an oil tanker.% 论文提出一种基于光顺性微分方程的船体曲面变换方法。该方法可针对船体曲面变换的不同设计任务，构造同时满足光顺性微分方程和具体设计约束条件的船型变换函数，并通过该变换函数，实现对以NURBS表达的船体曲面的变换，论文证明，应用该变换方法，能够保证在船体曲面变换过程中不改变船体曲面的C2连续性。作为应用实例，文中给出了船体曲面局部修改、曲面整体变换和船型UV度变换的变换函数方程，并以一条油船为例，分别给出了三个变换方程的具体应用，从而证明了该方法的工程实用性。
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