In both methods, we describe the optimal vector of eigenvalues for theframeoperator of the completingsequences. With this data, the optimal completions (which satisfy the norm restrictions) can be effectively computed by using a well known algorithm developed in [17] that implements the Schur-Horn theorem.
Abstract Given a nitesequenceof vectors F0 in Cd we describe the spectral and geometrical struc-ture of optimalframecompletions of F0 obtained by appending a nitesequenceof vectors with prescribed norms, where optimality is measured with respect to a general convex po-tential.
Optimal SequentialFrameSynchronization Venkat Chandar, Aslan Tchamkerten, and Gregory Wornell, Fellow, IEEE Abstract—We consider the “one-shotframesynchronization problem,” where a decoder wants to locate a sync pattern at the output of a mem-oryless channel on the basis of sequential observations.
Jan 1, 2025 ·In this section, we show the optimal pipeline of the MFSR method by using extended SC (in multi-framecase and for a collection of LR images). Solving the SC problem using ISTA has the advantage of having proper mathematical tools for further analysis. To this end, we first derive a formulation of the ISTA method based on the HR dictionary.
Abstract We propose a general paradigm for computing optimal coordinateframefields that may be exploited to visualize curves and surfaces. Parallel-transport framings, which work well for open curves, gen-erally fail to have desirable properties for cyclic curves and for surfaces. We suggest that minimal quaternion measure provides an appropriate heuristic generalization of parallel ...
