partial frames provide a rich context in which to do pointfree structured and unstructured topology. a small collection of axioms of an elementary nature allows one to do much traditional pointfree topology, both on the level of frames or locales, and that of uniform or metric frames. these axioms are sufficiently general to include as examples bounded distributive lattices, $sigma$-frames, $ka...

The axiomatic approach to parallel transport theory is partially discussed. Bijective correspondences between the sets of connections, (axiomatically defined) parallel transports and transports along paths satisfying some additional conditions are constructed. In particular, the equivalence between the concepts “connection” and “(axiomatically defined) parallel transport” is established. Bozhid...

The axiomatic approach to parallel transport theory is partially discussed. Bijective correspondences between the sets of connections, (axiomatically defined) parallel transports, and transports along paths satisfying some additional conditions, are constructed. In particular, the equivalence between the concepts “connection” and “(axiomatically defined) parallel transport” is established. Bozh...

A new framework is developed to intrinsically analyze sparsely observed Riemannian functional data. It features four innovative components: a frame-independent covariance function, smooth vector bundle termed bundle, parallel transport and metric on the bundle. The introduced intrinsic function links estimation of structure smoothing problems that involve raw observations derived from data, whi...

We present in this paper the IMOGENE II system, a massively parallel Multi-SIMD graphics system. This architecture uses a new rasterization scheme combining Object Parallelism and Parallel Virtual Buffers. This scheme leads to a better efficiency than other massively parallel SHvlD systems, and allows a cost-effective, powerful and easily expandabJe system to be designed. The syst.em consists o...

This paper evaluates the potential for the real-time utilization of high frame rate image sequences using a fully parallel readout system. Multiple readout architectures for high frame rate imaging are compared. The application domain for a fully parallel readout system is identified, and the design for a fully parallel, monolithically integrated smart CMOS focal plane array is presented. This ...

To convert one speaker’s voice to another’s, the mapping of the corresponding speech segments from source speaker to target speaker must be obtained first. In parallel voice conversion, normally dynamic time warping (DTW) method is used to align signals of source and target voices. However, for conversion between non-parallel speech data, the DTW based mapping method does not work. In this pape...

An important question is whether emerging and future applications exhibit sufficient parallelism, in particular thread-level parallelism (TLP), to exploit the large numbers of cores future CMPs are expected to contain. As a case study we investigate the parallel scalability of the H.264 decoding process. Previously proposed parallelization strategies such as slice-level, frame-level, and intra-...

In this paper we study the problem of parallel transport in the Wasserstein spaces P2(R ). We show that the parallel transport exists along a class of curves whose velocity field is sufficiently smooth, and that we call regular. Furthermore, we show that the class of regular curves is dense in the class of absolutely continuous curves and discuss the problem of parallel transport along geodesic...

“Quantum holonomy” as defined by Berry and Simon, and based on the parallel transport of Bott and Chern, can be considerably extended. There is a natural “parallelity” W*dW = (dW)* W within the Hilbert--Schmidt operators W This defines parallelity and holonomy along curves of density operators e = WW*. There is an intrinsic nonlinearity in the parallel transport which dissolves for curves of pr...