Gallery

Extraction of sharp features onto a digital surface using Ambrosio-Tortorelli functional and discrete calculus [1]
Extraction of sharp features onto a noisy digital surface using Ambrosio-Tortorelli functional and discrete calculus [1]

Mean curvature computation by integrating Lipschitz-Killing forms over a corrected Grassmanian current
Gaussian curvature computation by integrating Lipschitz-Killing forms over a corrected Grassmanian current

Regularization of digital surfaces with a convex variational model and digital normal estimators [2]

Discrete exterior calculus formulation of Ambrosio-Tortorelli model as a toolbox for mesh geometry processing: denoising, feature extraction, segmentation into geometric parts, embossing normals maps [3]

Related bibliography

[1] [doi] D. Coeurjolly, M. Foare, P. Gueth, and J. -O. Lachaud, “Piecewise smooth reconstruction of normal vector field on digital data,” Comput. graph. forum, vol. 35, iss. 7, p. 157–167, 2016.
[Bibtex]
@article{Coeurjolly:2016-pg,
author = {D. Coeurjolly and
M. Foare and
P. Gueth and
J.-O. Lachaud},
title = {Piecewise smooth reconstruction of normal vector field on digital
data},
journal = {Comput. Graph. Forum},
volume = {35},
number = {7},
pages = {157--167},
year = {2016},
url = {http://dx.doi.org/10.1111/cgf.13013},
doi = {10.1111/cgf.13013},
timestamp = {Thu, 10 Nov 2016 09:12:45 +0100},
biburl = {http://dblp.uni-trier.de/rec/bib/journals/cgf/CoeurjollyFGL16},
bibsource = {dblp computer science bibliography, http://dblp.org},
note = {Proc. of Pacific Graphics 2016}
}
[2] [pdf] D. Coeurjolly, P. Gueth, and J. Lachaud, “Digital surface regularization by normal vector field alignment,” in 20th international conference on discrete geometry for computer imagery, vienna, austria, 2017, pp. 197-209.
[Bibtex]
@inproceedings{coeurjolly17regDGCI,
AUTHOR = "Coeurjolly, David and Gueth, Pierre and Lachaud, Jacques-Olivier",
TITLE = {Digital surface regularization by normal vector field alignment},
URL = "https://hal.archives-ouvertes.fr/hal-01543007",
BOOKTITLE = {20th International Conference on Discrete Geometry for Computer Imagery, Vienna, Austria},
SERIES = "Lecture Notes in Computer Science",
VOLUME = "10502",
YEAR = "2017",
PAGES = {197-209},
KEYWORDS = "digital geometry ; surface regularization ; normal vector field",
PDF = "https://hal.archives-ouvertes.fr/hal-01543007/file/article.pdf",
HAL_ID = "hal-01543007",
HAL_VERSION = "v1"
}
[3] [pdf] N. Bonneel, D. Coeurjolly, P. Gueth, and J. Lachaud, Mumford-Shah Mesh Processing using the Ambrosio-Tortorelli Functional, 2018.
[Bibtex]
@unpublished{bonneel:hal-01815283,
TITLE = {{Mumford-Shah Mesh Processing using the Ambrosio-Tortorelli Functional}},
AUTHOR = {Bonneel, Nicolas and Coeurjolly, David and Gueth, Pierre and Lachaud, Jacques-Olivier},
URL = {https://hal.archives-ouvertes.fr/hal-01815283},
NOTE = {working paper or preprint},
YEAR = {2018},
MONTH = Jun,
PDF = {https://hal.archives-ouvertes.fr/hal-01815283/file/techreport-MSAT-fullres.pdf},
HAL_ID = {hal-01815283},
HAL_VERSION = {v1},
}