Abstract: A method of operation of a scanning mechanism that produces multiple constant-speed translations within the scanning range of operation. According to one aspect of the invention, when the instrument translates over a region where useful fringes are substantially absent, such as over the steep portion of a step discontinuity, the scanner is quickly accelerated to a higher constant speed and collection of intensity data is stopped until it reaches a new region of observable fringes. The scanner then is quickly decelerated to a slower constant speed and acquisition of intensity data resumes. According to another aspect of the invention, the position of the scanner during the nonlinear transition between regions of different constant speeds is determined by applying a transition factor based on the rate of acceleration (or deceleration) during the transition period.