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  1. Video coding standards only define the decoding procedure and the corresponding bit stream but do not specify the encoding algorithms.↩

  2. The resolution and frame rate of the “Breakdancers” sequence is \(1024 \times 768\) pixels and \(15\) frames per second, respectively.↩

  3. For clarity, the image coordinate axes are labeled in lower case and the world coordinate axes are labeled in upper case.↩

  4. For simplicity, we denote \((\boldsymbol{h}^m)^T=\boldsymbol{h}^{mT}\), according to the notation used in [35].↩

  5. Note that the first multiplication represents an inner product and the second equation leads to a scalar.↩

  6. assuming a translational motion↩

  7. Sharing the result of the cost function can be done to enforce spatially consistent disparity values↩

  8. In this case, the symbol \(\phi\) does not represent an empty set but an undefined element.↩

  9. This selected reference view is left out from the data set for rendering.↩

  10. The discussed alternative method [51] presents the depth image of a different viewpoint and time. However, the properties of the sequence do not vary over time and across the views, so that a subjective comparison is still possible.↩

  11. This remark is similar to a statement of Jean le Rond d’Alembert, a French mathematician, who stated that “Algebra is generous; she often gives more than is asked of her”↩

  12. The resolution of the “Breakdancers” sequence is \(1024 \times 768\) pixels and the frame rate is 15 frames per second. The compression is performed using an H.264/MPEG-4 AVC encoder with main profile.↩

  13. In [89], the original MPEG sequences were down-sampled such that a comparison with the results presented within MVC is not directly possible.↩

  14. The period of inserted intra-coded frames corresponds to the Group Of Pictures (GOP) size.↩

  15. At the time the presented experiments were performed and published [21]–[23], a simulcast compression constituted the anchor for the coding performance comparisons [32]. In 2007, the reference software JMVM became the anchor for comparisons [85], [90].↩

  16. To derive this equation, the following properties of series are needed: \(\sum_{i=1}^n i = \frac{n(n+1)}{2}\) and \(\sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6}\), where \(i\) takes the parameter \(x\) or \(y\).↩

  17. “Breakdancers” and “Ballet” depth image number 0 of camera 0. Note that the complexity of depth images is not significantly varying over time and across the views, so that including more depth images would not change the results.↩