Sentence examples for manifold lifting example from inspiring English sources

Although we do not have a concrete theoretical explanation for this phenomenon, we believe that this difference in reconstruction quality is mainly due to the multiscale nature of the measurement functions employed in our manifold lifting example.

Figure 7 Reconstruction results in manifold lifting demonstration.

Figure 8 Comparative reconstructions for manifold lifting demonstration.

We conclude with a few remarks concerning practical and theoretical aspects of the manifold lifting framework.

c Joint reconstruction using our manifold lifting algorithm with unknown camera positions, PSNR 23.6 dB.

Figure 6c shows the final estimated camera positions after all iterations of our manifold lifting algorithm.

As a proof of concept, we now present a comprehensive multi-view reconstruction algorithm inspired by the manifold lifting viewpoint.

The goal of a manifold lifting algorithm is to recover an ensemble of images from their low-dimensional measurements.

We hope that such discussions will pave the way for the future development of broader classes of manifold lifting algorithms.

b Initial estimates { θ j ^ } of camera positions after rotating and scaling the {v j }. c Final camera position estimates after running the manifold lifting algorithm.

In all cases, our manifold lifting algorithm without knowledge of the camera positions outperforms transform coding with knowledge of the camera positions.