In this paper, spatial resolution enhancement of microwave radiometer data is developed in lp Banach spaces using a new technique based on a generalization of the conjugate gradient (CG) method extended to Banach spaces. Experiments undertaken on both simulated and actual SSM/I radiometer data show that: 1. the conjugate gradient method calls for a processing time four times smaller than the conventional gradient method, 2. the conjugate gradient shows reconstruction performance similar to the gradient method method, 3. lp space, 1 < p < 2, performs better than l2 one in reconstructing abrupt discontinuities. In addition, reconstructions exhibit a valuable reduction of ringing effects.
Conjugate gradient algorithm in Banach spaces to enhance the spatial resolution of microwave remote sensing data
ESTATICO, CLAUDIO;
2014-01-01
Abstract
In this paper, spatial resolution enhancement of microwave radiometer data is developed in lp Banach spaces using a new technique based on a generalization of the conjugate gradient (CG) method extended to Banach spaces. Experiments undertaken on both simulated and actual SSM/I radiometer data show that: 1. the conjugate gradient method calls for a processing time four times smaller than the conventional gradient method, 2. the conjugate gradient shows reconstruction performance similar to the gradient method method, 3. lp space, 1 < p < 2, performs better than l2 one in reconstructing abrupt discontinuities. In addition, reconstructions exhibit a valuable reduction of ringing effects.
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