3D shape recognition and reconstruction based on line element geometry

M Hofer, B Odehnal, H Pottmann… - … on Computer Vision …, 2005 - ieeexplore.ieee.org
This paper presents a new method for the recognition and reconstruction of surfaces from
3D data. Line element geometry, which generalizes both line geometry and the Laguerre …

The isophotic metric and its application to feature sensitive morphology on surfaces

H Pottmann, T Steiner, M Hofer, C Haider… - Computer Vision-ECCV …, 2004 - Springer
We introduce the isophotic metric, a new metric on surfaces, in which the length of a surface
curve is not just dependent on the curve itself, but also on the variation of the surface …

Order-k α-hulls and α-shapes

D Krasnoshchekov, V Polishchuk - Information Processing Letters, 2014 - Elsevier
We introduce order-k α-hulls and α-shapes–generalizations of α-hulls and α-shapes. Being
also a generalization of k-hull (known in statistics as “k-depth contour”), order-k α-hull …

Morphological mesh filtering and α-objects

N Loménie, G Stamon - Pattern Recognition Letters, 2008 - Elsevier
Since image analysis techniques have come to maturity, mesh analysis has remained
challenging requiring more and more efforts for elaborating an effective theoretical model. In …

A generic methodology for partitioning unorganised 3D point clouds for robotic vision

N Loménie - First Canadian Conference on Computer and …, 2004 - ieeexplore.ieee.org
Range image segmentation has many applications in computer vision areas such as
computer graphics and robotic vision. A generic methodology for 3D point set analysis in …

Spatial interaction analysis with graph based mathematical morphology for histopathology

BB Cheikh, N Elie, B Plancoulaine… - 2017 IEEE 14th …, 2017 - ieeexplore.ieee.org
Exploring the spatial interactions between tumor and the inflammatory microenvironment
using digital pathology image analysis can contribute to a better understanding of the …

ϵ-maps: Characterizing, detecting and thickening thin features in geometric models

D Cabiddu, M Attene - Computers & Graphics, 2017 - Elsevier
We focus on the analysis of planar shapes and solid objects having thin features and
propose a new mathematical model to characterize them. Based on our model, that we call …

[PDF][PDF] Hough transform and Laguerre geometry for the recognition and reconstruction of special 3D shapes

M Peternell, H Pottmann, T Steiner - 2003 - geometrie.tuwien.ac.at
We put the Hough transform, a method from Image Processing, into relation to Laguerre
geometry, a concept of classical geometry, and study both concepts in the 3D case. It is …

Point set analysis

N Lomenie, G Stamon - Advances in Imaging and Electron Physics, 2011 - Elsevier
Dealing with imaging issues usually entails handling digital radiometric images. However,
visual data can be efficiently handled as geometric point sets either due to the nature of the …

Visual point set processing with lattice structures: Application to parsimonious representations of digital histopathology images

N Loménie - International Conference on Geometric Science of …, 2013 - Springer
Digital tissue images are too big to be processed with traditional image processing
pipelines. We resort to the nuclear architecture within the tissue to explore such big images …