Non-Convex Optimization for Sparse Interferometric Phase Estimation

Chemudupati, S and Pokala, PK and Seelamantula, CS (2020) Non-Convex Optimization for Sparse Interferometric Phase Estimation. In: 2020 IEEE International Conference on Image Processing, 25-28, September 2020, Abu Dhabi, United Arab Emirates, pp. 2885-2889.

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Abstract

We present a new sparsity based technique for interferometric phase estimation. We consider complex extensions of non-convex regularizers such as the minimax concave penalty (MCP) and smoothly clipped absolute deviation penalty (SCAD) for sparse recovery. We solve the problem of interferometric phase estimation based on complex-domain dictionary learning. We develop an algorithm, namely, improved sparse interferometric phase estimation (iSpInPhase) based on alternating direction method of multipliers (ADMM) and Wirtinger calculus for solving the optimization problem. Wiritinger calculus is employed because the cost functions are nonholomorphic. We evaluate the performance of iSpInPhase on synthetic data, namely, truncated Gaussian elevation and also on mountain terrain data, namely, Long's peak, for different noise levels. Performance comparisons show that iSpInPhase outperforms the state-of-the-art techniques in terms of standard performance assessment measures. © 2020 IEEE.

Item Type:	Conference Paper
Publication:	Proceedings - International Conference on Image Processing, ICIP
Publisher:	IEEE Computer Society
Additional Information:	cited By 0; Conference of 2020 IEEE International Conference on Image Processing, ICIP 2020 ; Conference Date: 25 September 2020 Through 28 September 2020; Conference Code:165772
Keywords:	Calculations; Convex optimization; Cost functions; Interferometry, Alternating direction method of multipliers; Interferometric phase; Nonconvex optimization; Optimization problems; Performance comparison; Smoothly clipped absolute deviation; Standard performance; State-of-the-art techniques, Image processing
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	21 Jan 2021 05:46
Last Modified:	21 Jan 2021 05:46
URI:	http://eprints.iisc.ac.in/id/eprint/67734

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