Let M be a closed connected smooth manifold and G = Diff0(M) denote the connected component of the diffeomorphism group of M containing the identity. The natural action of G on M induces the trace homomorphism on homology. We show that the image of trace homomorphism is annihilated by the subalgebra of the cohomology ring of M , generated by the characteristic classes of M . Analogously, if J i...

In this paper we introduce the notion of J-fusion frame for a Krein space K. We prove some basic results regarding J-fusion frame. We also approximate J-fusion frame bounds of a J-fusion frame by the upper and lower bounds of the synthesis operator. Finally we provide a necessary and sufficient condition under which the image of J-fusion frame under a bounded invertible linear map is also a J-f...

Image is represented by an undirected weighted graph G = (V, E) where vertices i ∈ V = {1, . . . , n} correspond to image features, and edges (i, j) ∈ E have weights w(i, j) : V × V 7→ R that reflect pairwise similarity between features. To segment an image, we wish to partition nodes V into two disjoint coherent sets S and S̄ = V \ S. This means that edges within the same set should have high w...

Object-based image analysis of optical and radar variables for wetland evaluation Laura Dingle Robertson, Douglas J. King & Chris Davies To cite this article: Laura Dingle Robertson, Douglas J. King & Chris Davies (2015) Object-based image analysis of optical and radar variables for wetland evaluation, International Journal of Remote Sensing, 36:23, 5811-5841, DOI: 10.1080/01431161.2015.1109727...

We present improvements to a general type of lossless, lossy, and refinement coding of bi-level images [a]. Loss is introduced by flipping pixels. The pixels are coded using arithmetic coding (either QM-coding or that of [l]) of conditional probabilities obtained using a template as is known from JBIG and proposed in JBIG-2 [2]. Our new state-of-the-art results are obtained using the more gener...

A C *-algebra A is called an ideal C * -algebra (or equally a dual algebra) if it is an ideal in its bidual A**. M.C.F. Berglund proved that subalgebras and quotients of ideal C*-algebras are also ideal C*-algebras, that a commutative C *-algebra A is an ideal C *-algebra if and only if it is isomorphicto C (Q) for some discrete space ?. We investigate ideal J*-algebras and show that the a...