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ICPR
2010
IEEE
15 years 9 months ago
Using Spatial Relations for Graphical Symbol Description
—In this paper, we address the use of unified spatial relations for symbol description. We present a topologically guided directional relation signature. It references a unique ...
Santosh K. C., Laurent Wendling, Bart Lamiroy
SGP
2007
15 years 9 months ago
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
A deformation invariant representation of surfaces, the GPS embedding, is introduced using the eigenvalues and eigenfunctions of the Laplace-Beltrami differential operator. Notabl...
Raif M. Rustamov
AB
2008
Springer
15 years 8 months ago
The Geometry of the Neighbor-Joining Algorithm for Small Trees
In 2007, Eickmeyer et al. showed that the tree topologies outputted by the Neighbor-Joining (NJ) algorithm and the balanced minimum evolution (BME) method for phylogenetic reconstr...
Kord Eickmeyer, Ruriko Yoshida
COMPGEOM
2005
ACM
15 years 8 months ago
Inclusion-exclusion formulas from independent complexes
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
Dominique Attali, Herbert Edelsbrunner
COMPGEOM
2005
ACM
15 years 8 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner