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Analysis of Systems for Superimposing Projected Images
Keyword(s): display; signal synthesis; optical signal processing; image generation; deconvolution; wobulation
Abstract: The addressable resolution of digital projectors can be increased by using a technique called "wobulation," which consists of using mechanical actuators to rapidly shift projected images (subframes) by fractions of pixel lengths, in one or two directions. This way the visual quality of the superimposed subframes can be improved without changing the expensive spatial light modulators. While experimental tests demonstrate the practical feasibility and the visual improvement, there is still a need to develop theoretical tools for better understanding the potential and limitations of this technique. For instance, it is desirable to know how much resolution improvement can be achieved. This is a signal design problem that is quite different from the restoration problem that results from moving camera sensors. The objective of this work is to introduce some analytical tools, including mathematical models that contain with reasonable accuracy all important practical factors, and that are simple enough for providing good intuition about the problem. Using these models we show that we can rigorously settle some of the questions concerning the range of images and resolution that can be achieved. We also discuss the linear and nonlinear factors involved and how they affect the stability of the signal design methods.
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