This paper presents a novel technique for performing SLAM along a continuous trajectory of appearance. Derived from components of FastSLAM and FAB-MAP, the new system dubbed Continuous Appearance-based Trajectory SLAM (CAT-SLAM) augments appearancebased place recognition with particle-filter based ‘pose filtering’ within a probabilistic framework, without calculating global feature geometry or ...

In this article, we prove that there exists at least one chord which is characteristic of Reeb vector field connecting a given Legendre sub-manifold in a contact manifolds of induced type in the cotangent bundles of any smooth open manifolds which confirms the Arnold conjecture in cotangent bundles.

We present algorithms to classify isolated hypersurface singularities over the real numbers according to the classification by V.I. Arnold (Arnold et al., 1985). This first part covers the splitting lemma and the simple singularities; a second and a third part will be devoted to the unimodal singularities up to corank 2. All algorithms are implemented in the Singular library realclassify.lib (M...

We report construction of second-generation integrated genetic linkage and radiation hybrid (RH) maps in the domestic cat (Felis catus) that exhibit a high level of marker concordance and provide near-full genome coverage. A total of 864 markers, including 585 coding loci (type I markers) and 279 polymorphic microsatellite loci (type II markers), are now mapped in the cat genome. We generated t...

in this paper, we prove the existence of fixed point for j-type multi-valuedmap t in cat(0) spaces and also we prove the strong convergence theoremsfor ishikawa iteration scheme without using the xed point of involving map.

We define and develop a homotopy invariant notion for the topological complexity of map f:X?Y, denoted TC(f), that interacts with TC(X) TC(Y) in same way cat(f) cat(X) cat(Y). Furthermore, TC(f) satisfy inequalities as cat(X). compare it to other invariants defined papers [15], [16], [17], [18], [20]. apply studying group homomorphisms f:H?G.

Analyzing the randomness, complexity and efficiency of chaotic image encryption using 1D Logistic map, 2D Arnold cat map or 3D Arnold cat map is proposed here. The keys for the encryption process are generated from the biometric image of the sender. Initially the biometric fingerprint image of the sender is captured using a scanner, which is preprocessed to the grey level image. By using an eff...

We show that Arnold tongues for the family of double standard maps fa,b(x) = 2x+ a− (b/π)sin(2πx) are connected. This proof is accomplished in the complex domain by means of quasiconformal techniques and depends partly upon the fact that the complexification of fa,b, has only one critical orbit taking symmetry into account.

Abstract. We study extreme values of desymmetrized eigenfunctions (so called Hecke eigenfunctions) for the quantized cat map, a quantization of a hyperbolic linear map of the torus. In a previous paper it was shown that for prime values of the inverse Planck’s constant N = 1/h, such that the map is diagonalizable (but not upper triangular) modulo N , the Hecke eigenfunctions are uniformly bound...

As a prelude to development of broader-spectrum vaccines for dental caries, we explored the immune potential of constructs combining epitopes from mutans streptococcal glucosyltransferases (GTF) and glucan binding protein B (GbpB). Two diepitopic peptide constructs were synthesized in a multiple antigenic peptide (MAP) format. Both constructs contained SYI, a 20-mer GbpB peptide that included a...