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• W1837191285 abstract "We study regularization methods for solving ill--posed operator equations where the solutions are tangent vector fields. We review the classical regularization theory which applies to the infinite dimensional problem. In order to analyze the effect of approximations we extend the operator equation and spaces to ambient operators and spaces, respectively, and propose regularization methods for ambient functions. As an advantage of our approach, we can calculate error estimates for perturbed surfaces, which cannot be tackled with the existing theory of regularization methods for discretized spaces. We also highlight some practical applications, such as Doppler imaging and optical flow computations." @default.
• W1837191285 created "2016-06-24" @default.
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• W1837191285 date "2015-10-22" @default.
• W1837191285 modified "2023-09-22" @default.
• W1837191285 title "Regularization in ambient space for recovering tangential vector fields" @default.
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• W1837191285 hasPublicationYear "2015" @default.
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