Alpha shape theory for 3D visualization and volumetric measurement of brain tumor progression using magnetic resonance images

MSH Al-Tamimi, G Sulong, IL Shuaib - Magnetic Resonance Imaging, 2015 - Elsevier
Resection of brain tumors is a tricky task in surgery due to its direct influence on the patients'
survival rate. Determining the tumor resection extent for its complete information via-à-vis …

Alpha shapes applied to molecular shape characterization exhibit novel properties compared to established shape descriptors

JA Wilson, A Bender, T Kaya… - Journal of chemical …, 2009 - ACS Publications
Despite considerable efforts, description of molecular shape is still largely an unresolved
problem. Given the importance of molecular shape in the description of spatial interactions …

Properties of gauss digitized shapes and digital surface integration

JO Lachaud, B Thibert - Journal of Mathematical Imaging and Vision, 2016 - Springer
This paper presents new topological and geometric properties of Gauss digitizations of
Euclidean shapes, most of them holding in arbitrary dimension d. We focus on r-regular …

PuzzleBoard: A New Camera Calibration Pattern with Position Encoding

P Stelldinger, N Schönherr, J Biermann - arxiv preprint arxiv:2409.20127, 2024 - arxiv.org
Accurate camera calibration is a well-known and widely used task in computer vision that
has been researched for decades. However, the standard approach based on checkerboard …

α-shapes for local feature detection

C Varytimidis, K Rapantzikos, Y Avrithis, S Kollias - Pattern recognition, 2016 - Elsevier
Local image features are routinely used in state-of-the-art methods to solve many computer
vision problems like image retrieval, classification, or 3D registration. As the applications …

WαSH: Weighted α-Shapes for Local Feature Detection

C Varytimidis, K Rapantzikos, Y Avrithis - … 7-13, 2012, Proceedings, Part II …, 2012 - Springer
Depending on the application, local feature detectors should comply with properties that are
often contradictory, eg distinctiveness vs. robustness. Providing a good balance is a …

Monotonic sampling of a continuous closed curve with respect to its gauss digitization: application to length estimation

É Le Quentrec, L Mazo, É Baudrier, M Ta**e - Journal of Mathematical …, 2022 - Springer
In many applications of geometric processing, the border of a continuous shape and of its
digitization (ie, its pixelated representation) should be matched. Assuming that the …

Local turn-boundedness: a curvature control for continuous curves with application to digitization

É Le Quentrec, L Mazo, É Baudrier, M Ta**e - Journal of Mathematical …, 2020 - Springer
This article focuses on the classical problem of the control of information loss during the
digitization step. The properties proposed in the literature rely on smoothness hypotheses …

Smoothness of boundaries of regular sets

P Duarte, MJ Torres - Journal of mathematical imaging and vision, 2014 - Springer
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SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Journal of …

3D Delaunay triangulation of non-uniform point distributions

SH Lo - Finite Elements in Analysis and Design, 2014 - Elsevier
In view of the simplicity and the linearity of regular grid insertion, a multi-grid insertion
scheme is proposed for the three-dimensional Delaunay triangulation of non-uniform point …