This dissertation addresses the problem of displaying live continuous media (e.g., digital audio and video) with low latency in the presence of delay jitter, where delay jitter is defined as variation in processing and transmission delay. Display in the presence of delay jitter requires a tradeoff between two goals: displaying frames with low latency and displaying every frame. Applications mus...

We develop a novel and unifying setting for phase retrieval problems that works in Banach spaces and for continuous frames and consider the questions of uniqueness and stability of the reconstruction from phaseless measurements. Our main result states that also in this framework, the problem of phase retrieval is never uniformly stable in infinite dimensions. On the other hand, we show weak sta...

Conventional cryptography deals with the encryption and decryption of traditional textual data. The advent of networked multimedia systems will make continuous media streams, such as real time audio and video, increasingly pervasive in future computing and communications environments. It is thus important to secure networked continuous media from potential eavesdroppers. In this paper, we consi...

Overlapping genes are two protein-coding sequences sharing a significant part of the same DNA locus in different reading frames. Although in recent times an increasing number of examples have been found in bacteria the underlying mechanisms of their evolution are unknown. In this work we explore how selective pressure in a protein-coding sequence influences its overlapping genes in alternative ...

A new adaptive model for viscoelastic solids is presented. Unlike previous approaches, it allows seamless transitions, and simplifications in deformed states. The deformation field is generated by a set of physically animated frames. Starting from a fine set of frames and mechanical energy integration points, the model can be coarsened by attaching frames to others, and merging integration poin...

Online action recognition aims to recognize actions from unsegmented streams of data in a continuous manner. One of the challenges in online recognition is the accumulation of evidence for decision making. This paper presents a fast and efficient online method to recognize actions from a stream of noisy skeleton data. The method adopts a covariance descriptor calculated from skeleton data and i...

Generalized frames are an extension of frames in Hilbert  spaces and  Hilbert $C^*$-modules. In this paper, the concept ''Similar" for modular $g$-frames is introduced and all of operator duals (ordinary duals) of similar $g$-frames with respect to each other are characterized. Also, an operator dual of a given $g$-frame is studied where $g$-frame is constructed by a primary $g$-frame and an or...

Abstract. Certain facts about frames and generalized frames (g- frames) are extended for the g-frames for Hilbert C*-modules. It is shown that g-frames for Hilbert C*-modules share several useful properties with those for Hilbert spaces. The paper also character- izes the operators which preserve the class of g-frames for Hilbert C*-modules. Moreover, a necessary and suffcient condition is ob- ...