This paper proposes and experimentally demonstrates a linearization technique for interferometric fiber sensors. From a 2D reconstruction of the interference spectra and subsequent denoising process, relevant improvements in linearity and range are obtained for both angle and liquid level sensors. This linearization technique can be easily implemented on any graphical interface of different types of interferometric sensors without requiring modification of the sensor physical structure, which makes it a low-cost solution. In this regard, this approach finds a wide field of applications. With the appropriate modifications, it can potentially be applied to other non-interferometric sensors that have moderate linearity and operating range.