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Published in 2017 at "Journal of Mathematical Imaging and Vision"
DOI: 10.1007/s10851-017-0776-7
Abstract: In this paper, we introduce a generalized asymmetric fronts propagation model based on the geodesic distance maps and the Eikonal partial differential equations. One of the key ingredients for the computation of the geodesic distance…
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Keywords:
propagation;
image;
geodesic distance;
fronts propagation ... See more keywords
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Published in 2018 at "IEEE Geoscience and Remote Sensing Letters"
DOI: 10.1109/lgrs.2017.2778749
Abstract: In this letter, we propose a novel technique for obtaining scattering components from polarimetric synthetic aperture radar (PolSAR) data using the geodesic distance on the unit sphere. This geodesic distance is obtained between an elementary…
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Keywords:
methodology;
geodesic distance;
similarity measure;
similarity ... See more keywords
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Published in 2019 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2019.2914004
Abstract: In this letter, we adapt the geodesic distance-based recursive filter to the sparse data interpolation problem. The proposed technique is general and can be easily applied to any kind of sparse data. We demonstrate its…
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Keywords:
interpolation;
data interpolation;
sparse data;
geodesic distance ... See more keywords
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Published in 2021 at "Computer Graphics Forum"
DOI: 10.1111/cgf.14371
Abstract: We present a highly practical, efficient, and versatile approach for computing approximate geodesic distances. The method is designed to operate on triangle meshes and a set of point sources on the surface. We also show…
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Keywords:
propagation;
computation via;
geodesic distance;
source ... See more keywords
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Published in 2021 at "Fractals"
DOI: 10.1142/s0218348x21500961
Abstract: We investigate the [Formula: see text]-level Sierpinski carpets including the classical one for [Formula: see text], which are non-p.c.f. self-similar fractals. By using the finitely, many geometric patterns and the self-similar measure, we obtain the…
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Keywords:
mean geodesic;
geodesic distance;
level;
formula see ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14102050
Abstract: Following the significant success of the transformer in NLP and computer vision, this paper attempts to extend it to 3D triangle mesh. The aim is to determine the shape’s global representation using the transformer and…
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Keywords:
positional encoding;
mesh;
geodesic distance;
navigation geodesic ... See more keywords