Shape reconstruction from images: Pixel fields and Fourier transform | Zendy

M. Viikinkoski | Zendy; M. Kaasalainen | Zendy

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Shape reconstruction from images: Pixel fields and Fourier transform

Author(s) -

M. Viikinkoski,

M. Kaasalainen

Publication year - 2014

Publication title -

inverse problems and imaging

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.755

H-Index - 40

eISSN - 1930-8345

pISSN - 1930-8337

DOI - 10.3934/ipi.2014.8.885

Subject(s) - fourier transform , computer science , computer vision , interferometry , inversion (geology) , artificial intelligence , pixel , range (aeronautics) , boundary (topology) , doppler effect , fourier domain , uniqueness , mathematics , optics , mathematical analysis , physics , geology , paleontology , materials science , structural basin , astronomy , composite material

We discuss shape reconstruction methods for data presented in various image spaces. We demonstrate the usefulness of the Fourier transform in transferring image data and shape model projections to a domain more suitable for shape inversion. Using boundary contours in images to represent minimal information, we present uniqueness results for shapes recoverable from interferometric and range-Doppler data. We present applications of our methods to adaptive optics, interferometry, and range-Doppler images.

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