Let u be a real function defined on a rectangular grid. The (two-dimensional) phase unwrapping problem consists in the reconstruction of u from the knowledge of its values modulus 2p. We study two different methods for the solution of this problem: the Fourier transform method and the network optimization method. We show that these methods do not compute the same solution, so that we introduce a revised version of the Fourier transform method which is equivalent to the network optimization method. These results are based on an explicit expression for a singular value decomposition of A, where A is the matrix that defines the linear constraints of the optimization problem arising in the network optimization method.

A comparative study of two fast phase unwrapping algorithms

EGIDI, Nadaniela;MAPONI, Pierluigi
2004-01-01

Abstract

Let u be a real function defined on a rectangular grid. The (two-dimensional) phase unwrapping problem consists in the reconstruction of u from the knowledge of its values modulus 2p. We study two different methods for the solution of this problem: the Fourier transform method and the network optimization method. We show that these methods do not compute the same solution, so that we introduce a revised version of the Fourier transform method which is equivalent to the network optimization method. These results are based on an explicit expression for a singular value decomposition of A, where A is the matrix that defines the linear constraints of the optimization problem arising in the network optimization method.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/115174
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