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» The Invariants of the Clifford Groups
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CORR
2010
Springer
91views Education» more  CORR 2010»
13 years 7 months ago
Invariance properties of the multidimensional matching distance in Persistent Topology and Homology
Abstract. Persistent Topology studies topological features of shapes by analyzing the lower level sets of suitable functions, called filtering functions, and encoding the arising i...
Andrea Cerri, Patrizio Frosini
EC
2010
127views ECommerce» more  EC 2010»
13 years 4 months ago
Representation Invariant Genetic Operators
A genetic algorithm is invariant with respect to a set of representations if it runs the same no matter which of the representations is used. We formalize this concept mathematica...
Jonathan E. Rowe, Michael D. Vose, Alden H. Wright
CORR
2002
Springer
160views Education» more  CORR 2002»
13 years 7 months ago
Structure from Motion: Theoretical Foundations of a Novel Approach Using Custom Built Invariants
We rephrase the problem of 3D reconstruction from images in terms of intersections of projections of orbits of custom built Lie groups actions. We then use an algorithmic method b...
Pierre-Louis Bazin, Mireille Boutin
APPML
2010
112views more  APPML 2010»
13 years 7 months ago
Computing Fourier transforms and convolutions of Sn-1-invariant signals on Sn in time linear in n
Let Sn denote the symmetric group on {1, . . . , n} and Sn-1 the stabilizer subgroup of n. We derive algorithms for computing Fourier transforms of left and right Sn-1-invariant s...
Michael Clausen, Ramakrishna Kakarala
ECCV
2004
Springer
14 years 9 months ago
Integral Invariant Signatures
Abstract. For shapes represented as closed planar contours, we introduce a class of functionals that are invariant with respect to the Euclidean and similarity group, obtained by p...
Siddharth Manay, Byung-Woo Hong, Anthony J. Yezzi,...