Piyush Kanti Bhunre and Partha Bhowmick, Carve in, carve out: a bimodal carving through voxelization and functional partitioning, The Visual Computer, Vol. 34, pp. 1009-1019 (2018).
Bertrand Kerautret, Adrien Krähenbühl, Isabelle Debled-Rennesson, Jacques-Olivier Lachaud:
Centerline detection on partial mesh scans by confidence vote in accumulation map. ICPR 2016: 1376-1381
O. Merveille, H. Talbot, L. Najman, N. Passat. Curvilinear structure analysis by ranking the orientation responses of path operators. IEEE Tr ansactions on Pattern Analysis and Machine Intelligence 40(2):304-317 (2018).
Edwin Carlinet and Thierry Géraud. {MToS}: A Tree of Shapes for Multivariate Images. IEEE Transactions on Image Processing, 24(12):5330--5343 (2015).
P. Ngo, N. Passat, Y. Kenmochi, H. Talbot. Topology-preserving
rigid transformation of 2D digital images. IEEE Transactions on
Image Processing, 23(2):885-897 (2014).
Binary objects obtained from retina image segmentation. The
non-processed image suffers from topological alterations during
rotation, due to the small size of linear structures. The
"regularized" image, generated by a sup/inf Khalimsky grid
embedding, is no longer affected by topological changes.
P. Ngo, Y. Kenmochi, N. Passat, H. Talbot. Combinatorial
structure of rigid transformations in 2D digital
images. Computer Vision and Image Understanding, 117(4):393-408
(2013).
Parameter space of 2-dimensional continuous rigid transformations (a1,
a2: translation; θ: rotation), subdivided with into cells that
represent the associated discrete rigid transformations. The visualized
surfaces correspond to limit cases at the frontier between to pixels.
J.-L. Toutant, E. Andres, T. Roussillon, Digital circles,
spheres and hyperspheres: From morphological models to analytical
characterizations and topological properties, Discrete Applied
Mathematics, Volume 161, Issues 16–17, November 2013, Pages 2662-2677
D. Coeurjolly, J.-O. Lachaud, J. Levallois, Multigrid convergent
principal curvature estimators in digital geometry, Computer
Vision and Image Understanding, 2014.
C. Cartade, C. Mercat, R. Malgouyres, C. Samir,
Mesh Parameterization with Generalized Discrete Conformal Maps, Journal of Mathematical Imaging and Vision, May 2013, Volume 46, Issue 1, pp 1-11