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Our work focuses on the smooth and continuous convex specular surfaces measurement using a camera and a LCD display.We firstly analyze the geometric characteristics of a specular surface and prove that the 3D shape of the specular surface can be measured by one camera.A uniform bicubic B-spline surface is used to simulate the imaging process in the measurement due to its similarity of geometric characteristics from a specular surface.We obtain the 3D shape of the specular object by minimizing sum of the errors between the real points on the display and the intersecting points which produced by backward ray-tracing reflection rays.A 3-step phase-shifting method is applied to encode the display for corresponding the pixels on the display and image plane.Our experiments on real specular surface show that the method is simple and obtain high accuracy measurement result.