2019
DOI: 10.1007/978-3-030-37334-4_33
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Learning to Approximate Directional Fields Defined Over 2D Planes

Abstract: Reconstruction of directional fields is a need in many geometry processing tasks, such as image tracing, extraction of 3D geometric features, and finding principal surface directions. A common approach to the construction of directional fields from data relies on complex optimization procedures, which are usually poorly formalizable, require a considerable computational effort, and do not transfer across applications. In this work, we propose a deep learning-based approach and study the expressive power and ge… Show more

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Cited by 2 publications
(2 citation statements)
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“…In order to compute a smooth cross field, Bessmeltsev et al [56] propose a variational computation approach using the L-BFGS algorithm. Furthermore, Taktasheva et al [57] propose a deep learning-based approach for computation. In our work, we solve the cross field variationally by regressing the value of direction vectors at each pixel with a neural network, similarly as what has been explored in [57].…”
Section: Cross Fieldmentioning
confidence: 99%
See 1 more Smart Citation
“…In order to compute a smooth cross field, Bessmeltsev et al [56] propose a variational computation approach using the L-BFGS algorithm. Furthermore, Taktasheva et al [57] propose a deep learning-based approach for computation. In our work, we solve the cross field variationally by regressing the value of direction vectors at each pixel with a neural network, similarly as what has been explored in [57].…”
Section: Cross Fieldmentioning
confidence: 99%
“…Furthermore, Taktasheva et al [57] propose a deep learning-based approach for computation. In our work, we solve the cross field variationally by regressing the value of direction vectors at each pixel with a neural network, similarly as what has been explored in [57].…”
Section: Cross Fieldmentioning
confidence: 99%