Frequency Analysis of Transient Light Transport with Applications in Bare Sensor Imaging

Di Wu^{1, 2, 5}, Gordon Wetzstein¹, Christopher Barsi¹, Thomas Willwacher³, Matthew O’Toole⁴, Nikhil Naik¹, Qionghai Dai², Kyros Kutulakos⁴, and Ramesh Raskar¹

¹MIT Media Lab, China

²Department of Automation, Tsinghua University, China

³Department of Mathematics, Harvard University, USA

⁴Department of Computer Science, University of Toronto, Canada

⁵Graduate School at Shenzhen, Tsinghua University, China

Abstract. Light transport has been analyzed extensively, in both the primal domain and the frequency domain; the latter provides intuition of effects introduced by free space propagation and by optical elements, and allows for optimal designs of computational cameras for tailored, efficient information capture. Here, we relax the common assumption that the speed of light is infinite and analyze free space propagation in the frequency domain considering spatial, temporal, and angular light variation. Using this analysis, we derive analytic expressions for cross-dimensional information transfer and show how this can be exploited for designing a new, time-resolved bare sensor imaging system.

Keywords: Light transport, Fourier analysis, Time of flight, Lensless imaging

LNCS 7572, p. 542 ff.

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