„… 37 3 Rate-Distortion Theory for A ne Motion Compensation in Video Coding ¿e largest contribution to …” „… (middle in Fig. 3.1, Section 3.1.4). 5. In the last step, the rate-distortion theory is applied to derive …” „… function Applying the rate-distortion theory [7] nally results in the minimum required bit rate for …”

„… motion-compensated prediction – rate-distortion theory – aerial surveillance – region of interest- (ROI-) based …” „… coding. Using the rate-distortion theory and the displacement estimation error caused by inaccurate …” „… (rate-distortion theory) d(u; v) General distortion measure between symbols u and v (rate-distortion theory) d f …”

„… potential successor Versatile Video Coding (VVC) [14, 132]. 2.7 Rate-Distortion Theory ¿e rate-distortion …” „… . ¿e most important bene t of the RD theory is that the rate of a speci c distortion serves as a lower …” „… variance σ 2u , the rate-distortion theory yields RG(D) = 1 2 log2 σ 2u D (2.37) for a squared deviation …”

„… during motion estimation is modeled and the bit rate a er application of the rate-distortion theory is …” „… , independently perturbed by zero-mean Gaussian noise. Using the rate-distortion theory [7], the minimum required …” „… focus on motion-compensated prediction, the rate-distortion theory is revisited as far as used in this …”

„… 87 5 Experiments ¿is chapter is divided into two main parts: in Section 5.1 the rate-distortion …” „… rate model is validated. Operational rate-distortion diagrams for common video test sequences …” „… validated based on measurements. In Section 5.1.2 operational rate-distortion diagrams from video sequences …”

„… aerial video sequences. By using the rate-distortion theory, the minimum required bit rate for encoding …” „… derived. Applying the rate-distortion theory results in the minimum required bit rate for encoding the …” „… motion-compensated prediction in video coding was analyzed. ¿e minimum bit rate required for encoding the prediction …”

„… rate-distortion De(Re) function that characterizesthe video coding system. The channel encoder block maps b to c …” „… ) and (4.11), and not the optimal performance in the sense of theShannon’s rate-distortion (R-D …” „… parameters thatminimize the overall distortion of a transmitted video while making useof off-the-shelf …”

„… . “Rate-distortion methods for im-age and video compression.” In: IEEE Signal Processing Magazine15.6 (1998), pp …” „… B I B L I O G R A P H Y[1] Claude Elwood Shannon. “A mathematical theory of communica-tion.” In …” „… . “Video quality assessmentusing structural distortion measurement.” In: Proceedings. Inter-national …”

„… coding block is introduced, which is responsible for compressingthe video signal to a rate lower than the …” „… rate, a digital channel model isthe appropriate one.To simulate the digital channel we use a …” „… ) denotes the ith vector of N complex symbols which have to betransmitted at a symbol rate of 1/Ts over the …”

„… images can becategorized into 10 different classes for each distortion type. In order to gene-rate these …” „… 176A Comprehensive Analysis of Document-ImageDistortions and their Respective Impact on …” „… comprehensive discussion ofthe impact of the presence of document-image distortions on the re-cognition …”

„… matters are discussed in rate-distortion theory, which provides the theoretical foundations for …” „… review of rate-distortion theory werefer the reader to [Mus02] and [Say06].Because the set of possible …” „… “importance” correctly, then it is possibleto achieve an optimum in the equilibrium of rate and distortion …”

„… distortion theory.” In: BMCBioinformatics 14.1 (2013), p. 187. doi: 10.1186/1471-2105-14-187.[Och+17] I …” „… differentvariant calling pipeline configurations. Hence, per item, we obtain 12 ·3 · 6 = 216 rates and F1 score …” „… values. We show a concise visualizationof these results by averaging the rates and F1 score values over …”

„… degradation in the distortion metric. This parametrization achievesan average rate of 0.45 bit per quality …” „… theoryP(a) A probability distribution over a discreterandom variablep(a) A probability distribution over a …” „… . . . . . . . . . . . . . . . . . . . . . . . 232.4.1 Mathematical Preliminaries . . . . . . . . . . . . . . 252.4.2 Information Theory …”

„… ISO/IEC 23092-2 WD 2.”m40861—Jan Voges. “A Rate-Distortion Analysis of Sequencing QualityValue …” „… Transactions on InformationTheory 23.3 (1977), pp. 337–343. doi: 10.1109/TIT.1977.1055714.[Zoo+14] J. M. Zook …”

„… can be used to find the data that have a greater impact for further training. Theory The creation …” „… image plane by a camera lens. This model depends on various parameters, such as focal length, distortion …” „… is much less reliable with only 81% to 94% hit rate. It also reaches a lower accuracy for values …”