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, Navigation graph of a multiview video for free-viewpoint television system

, The navigation graph of an interactive system

, Overall scheme of an interactive coder

, Encoding graph for the tile-based approach

, Encoding graph for the exhaustive storage approach

, Compound conditional source coding

, Achievable rates for each interactive compression scheme

. .. , Saturation maps for the equirectangular and cube map representations, p.28

, Viewport requested from a 360 ? visual content

.. .. 3d,

, An example of user's navigation around the 3D model

, Processing pipeline of compressing an interactive medium

R. and B. .. , The geometrical interpretation corresponding to BD, p.40

. .. , 360 ? images used to illustrate the proposed evaluation framework, p.43

, Color-coded heatmaps of the frequency of pixels observed in the user navigation simulated by the proposed probabilistic model

R. and S. , curves of interactive compression using tile-based approach, p.46

, Iso distortion values for interactive compression of images using tile-based approach, p.47

.. .. Weighted,

, In interactive 2D image modalities, a user observes a set of pixels which corresponds to a request of a set of blocks

, 2 Navigation graph for interactive 2D image modalities

, Tile-based approach for compression of interactive 2D image modalities and the corresponding encoding graph G enc

, Examples of different allowed block scannings in the proposed method, p.54

. .. , Proposed lossy coding scheme of an image block X as a function of its predictions Y 1, p.57

, An example of the proposed scanning of the blocks for interactive compression of 360 ? images based on Algorithm 2

, The other four images used in our experiments to evaluate interactive coder for 360 ? images, p.65

. .. , Accumulated transmission per request at iso-distortion PSNR 37dB, p.67

, Usefulness of the observed pixels per request for transmission of 360 ? images using proposed interactive coder

, Comparison of storage and transmission performance for requests of length 10 using the proposed interactive coder

, Uniform sampling of the sphere

. .. , 72 4.10 Partitioning of the sphere into S-blocks of 8x8 pixels

, Proposed scanning order of the spherical order for the case when S-blocks are 2x2 and sphere is pixelized into 192 pixels

. .. , RD curves of the proposed spherical coder against the baselines, p.76

. .. , Retrieving the neighborhood information using the mesh topology, p.78

, Block prediction of a boundary block using the proposed geometry-aware compression scheme

. .. , An example of access blocks localization for texture maps of 3D model, p.81

, 18 RD curves of the proposed geometry aware compression algorithm against two configurations of the anchor on 3 diffusion maps

, 3D models used for experiments of interactive compression

, Transmission rate evolution over the user's navigation for the 3D model Ewer at PSNR 38dB

, Different source coding schemes based on the availability of SI source at encoder and decoder

, 2 The proposed code optimization block diagram

. .. , Excess rate under mismatched decoding metric Q XY (x, y) = Q X|Y (x|y)P Y (y) as a function of D KL (P XY ||Q X|Y P Y ) for the symmetric channel from Y to X, p.106

. .. , Excess rate under mismatched decoding metric Q XY (x, y) = Q X|Y (x|y)P Y (y) as a function of D KL (P XY ||Q X|Y P Y ) for the non-symmetric channel from Y to X, p.107

, 108 5.6 Excess rate estimation using the doping technique under decoding metric Q XY (x, y) = Q X|Y (x|y)P Y (y) as a function of D KL (P XY ||Q X|Y P Y ) for the non-symmetric channel from Y to X, Percentage of error between KL divergence and estimated excess rate with respect to the SW rate of the designed code (r Q )

, Processing pipeline for interactive communication

, Notations and definitions used for problem formulation of compression for interactive communication

. .. , 2 Characteristics of different 2D representations in 360 ? contents, p.28

, Performance of different interactive coding schemes

, Average BD measures for illustration of the proposed evaluation framework, p.45

, BD measures (in percent) averaged over all users relative to the no tiling approach (T. 1x1), p.70

, Weighted BD for requests of length 10 averaged over all users relative to the no tiling approach (T. 1x1)

, BD-rate gain of the proposed method with respect to the the rhombic dodecahedron approach proposed in [35]

. .. , Performance comparison of the proposed Geometry-Aware algorithm, p.83

, Weighted BD averaged over all users relative to whole atlas approach

, 60 2 Algorithm for decoding order when m(?) is equirectangular projection, p.64

.. .. Algorithm,

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