Optical coherence tomography with 3D coherence scanning is disclosed, using at least three fibers (201, 202, 203) for object illumination and collection of backscattered light. Fiber tips (1, 2, 3) are located in a fiber tip plane (71) normal to the optical axis (72). Light beams emerging from the fibers overlap at an object (122) plane, a subset of intersections of the beams with the plane defining field of view (266) of the optical coherence tomography apparatus. Interference of light emitted and collected by the fibers creates a 3D fringe pattern. The 3D fringe pattern is scanned dynamically over the object by phase shift delays (102, 104) controlled remotely, near ends of the fibers opposite the tips of the fibers, and combined with light modulation. The dynamic fringe pattern is backscattered by the object, transmitted to a light processing system (108) such as a photo detector, and produces an AC signal on the output of the light processing system (108). Phase demodulation of the AC signal at selected frequencies and signal processing produce a measurement of a 3D profile of the object.