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COMPGEOM
2003
ACM
14 years 25 days ago
Loops in reeb graphs of 2-manifolds
Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...
ICRA
2002
IEEE
125views Robotics» more  ICRA 2002»
14 years 15 days ago
Natural Landmark Based Localisation System using Panoramic Images
A panoramic image based localisation system has been implemented on a B21r mobile robot and tested in a heavily cluttered environment. It takes vertical object edges as natural la...
David C. K. Yuen, Bruce A. MacDonald
GD
2009
Springer
14 years 5 days ago
4-Labelings and Grid Embeddings of Plane Quadrangulations
We show that each quadrangulation on n vertices has a closed rectangle of influence drawing on the (n − 2) × (n − 2) grid. Further, we present a simple algorithm to obtain a...
Lali Barrière, Clemens Huemer
COMPGEOM
1998
ACM
13 years 11 months ago
Matching 2D Patterns of Protein Spots
A new algorithmic approach to comparing 2D patterns of protein spots obtained by the 2D gel electrophoresis technique is presented. Both the matching of a local pattern vs. a full...
Frank Hoffmann, Klaus Kriegel, Carola Wenk
CAIP
2007
Springer
170views Image Analysis» more  CAIP 2007»
13 years 11 months ago
Image Segmentation Using Topological Persistence
Abstract. This paper presents a new hybrid split-and-merge image segmentation method based on computational geometry and topology using persistent homology. The algorithm uses edge...
David Letscher, Jason Fritts