We present a new scheme for 3D surface reconstruction of a moving object in the presence of specular reflection. We basically search for the depth at each point on the surface of the object while exploiting the recently proposed geotensity constraint [7] that accurately governs the relationship between four or more images of a moving object in spite of the illumination variance due to object motion. The thrust of this paper is then to extend the availability of the geotensity constraint to the case that specularities are also present. The key idea is to utilise the fact that highlights shift on the surface due to object motion. I.e., we employ five or more images as inputs, and interchangeably utilise a certain intensity subset consisting of four projected intensities which is the least influenced by the specular component. We illustrate the relevancy of our simple algorithm also through experiments.