Geometric Algebra for Subspace Operations

Autor: Bouma, T. A., Dorst, L., Pijls, H. G. J.

Publikováno v: Acta Applicandae Mathematicae 73(3): 285--300, 2002

The set theory relations \in, \backslash, \Delta, \cap, and \cup have corollaries in subspace relations. Geometric Algebra is introduced as the ideal framework to explore these subspace operations. The relations \in, \backslash, and \Delta are easily

Externí odkaz: http://arxiv.org/abs/math/0104102

Geometric Algebra Levenberg-Marquardt

Autor: De Keninck, S., Dorst, L., Gavrilova, M., Chiang, J., Magnenat Thalmann, N., Hitzer, E., Ishikawa, H.

Publikováno v: Advances in Computer Graphics ISBN: 9783030225131
CGI
Advances in Computer Graphics: 36th Computer Graphics International Conference, CGI 2019, Calgary, AB, Canada, June 17–20, 2019 : proceedings, 511-522
STARTPAGE=511;ENDPAGE=522;TITLE=Advances in Computer Graphics

This paper introduces a novel and matrix-free implementation of the widely used Levenberg-Marquardt algorithm, in the language of Geometric Algebra. The resulting algorithm is shown to be compact, geometrically intuitive, numerically stable and well

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d224ff7dff8ba2bd6b84f3d5f454d55
https://hdl.handle.net/11245.1/edcacf33-2326-4b43-8699-ad3be94ebb2b

Complementarity-Preserving Fracture Morphology for Archaeological Fragments

Autor: ElNaghy, H., Dorst, L., Burgeth, B., Kleefeld, A., Naegel, B., Passat, N., Perret, B.

Publikováno v: Lecture Notes in Computer Science ISBN: 9783030208660
ISMM
Mathematical Morphology and Its Applications to Signal and Image Processing: 14th International Symposium, ISMM 2019, Saarbrücken, Germany, July 8-10, 2019 : proceedings, 403-414
STARTPAGE=403;ENDPAGE=414;TITLE=Mathematical Morphology and Its Applications to Signal and Image Processing

We propose to employ scale spaces of mathematical morphology to hierarchically simplify fracture surfaces of complementarily fitting archaeological fragments. This representation preserves complementarity and is insensitive to different kinds of abra

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::964db81361f3f87eded9183255861f96
https://doi.org/10.1007/978-3-030-20867-7_31

Using Mathematical Morphology to Simplify Archaeological Fracture Surfaces

Autor: ElNaghy, H., Dorst, L., Ju, T., Vaxman, A.

Publikováno v: Geometry Processing 2018-Symposium Proceedings-Posters: Paris, France, July 7-11, 2018, 3-4
STARTPAGE=3;ENDPAGE=4;TITLE=Geometry Processing 2018-Symposium Proceedings-Posters

It is computationally expensive to fit the high-resolution 3D meshes of abraded fragments of archaeological artefacts in a collection. Therefore, simplification of fracture surfaces while preserving the fitting essentials is required to guide and str

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::051c37db14a501a3131de67b50e6d8dc
https://dare.uva.nl/personal/pure/en/publications/using-mathematical-morphology-to-simplify-archaeological-fracture-surfaces(ac50168f-84ad-4458-aabd-dbf514c8ac6d).html

GRAVITATE: Geometric and Semantic Matching for Cultural Heritage Artefacts

Autor: Philips, S.C., Walland, P.W., Modafferi, S., Dorst, L., Spagnuolo, M., Catalano, C.E., Oldman, D., Tal, A., Shimshoni, I., Hermon, S., De Luca, L.

Publikováno v: Eurographics Workshop on Graphics and Cultural Heritage, 199-202
STARTPAGE=199;ENDPAGE=202;TITLE=Eurographics Workshop on Graphics and Cultural Heritage

The GRAVITATE project is developing techniques that bring together geometric and semantic data analysis to provide a new and more effective method of re-associating, reassembling or reunifying cultural objects that have been broken or dispersed over

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::a14c2af9e12d024c584f22d0bfc06621
https://dare.uva.nl/personal/pure/en/publications/gravitate-geometric-and-semantic-matching-for-cultural-heritage-artefacts(aacf019a-c5f2-4b9b-aab9-25abe99d7ceb).html