Sequential sample selection methods are distinguished from conventional methods in the manner in which random numbers are used to determine the sample. Conventionally, a sample of size n is selected from a sampling frame of N sampling units by selecting n random numbers and mapping then into n of the labels in the sampling frame. Sequential methods require each sampling unit in the sampling fra...

We study the performance of finite frames for the encoding of vectors by applying first-order sigma-delta quantization to the frame coefficients. Our discussion is restricted to families of uniform tight frames, given by N vectors in d-dimensional Hilbert spaces, and mostly concerns the use of quantizers that assume only integer multiples of a step-size δ (mid-tread). We prove upper and lower b...

This paper studies the problem of sequence-to-sequence alignment, namely establishing correspondences in time and in space between two di erent video sequences of the same dynamic scene. The sequences are recorded by uncalibrated video cameras, which are either stationary or jointly moving, with xed (but unknown) internal parameters and relative inter-camera external parameters. Temporal variat...

motivating the perturbations of frames in hilbert and banach spaces, in this paper we introduce the invariance of fr'echet frames under perturbation. also we show that for any fr'echet spaces, there is a fr'echet frame and any element in these spaces  has a series expansion.

This paper deals with the simultaneous estimation of attitude, position and linear velocity for vision-aided inertial navigation systems. We propose a nonlinear observer on $SO(3)\times \mathbb{R}^{15}$ relying body-frame acceleration, angular (stereo or monocular) bearing measurements some landmarks that are constant known in frame. Unlike existing local Kalman-type observers, our proposed gua...

In this dissertation, we study the structure of correlation minimizing frames. A correlation minimizing (N,d)-frame is any uniform Parseval frame of N vectors in dimension, d, such that the largest absolute value of the inner products of any pair of vectors is as small as possible. We call this value the correlation constant. These frames are important as they are optimal for the 2-erasures pro...

Diierent coding/decoding schemes for video frames require diierent amount of CPU processing overheads, and result in diierent amount of frame data compression. In this paper, we study the performance of alternative codec schemes as supported in a video conferencing software called NV. We present the concept of momentum which is the number of blocks in video frame whose contents have been change...