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Coherent multi-dimensional segmentation of multiview images using a variational framework and applications to image based rendering
Image Based Rendering (IBR) and in particular light field rendering has attracted a lot of
attention for interpolating new viewpoints from a set of multiview images. New images of
a scene are interpolated directly from nearby available ones, thus enabling a photorealistic
rendering. Sampling theory for light fields has shown that exact geometric information
in the scene is often unnecessary for rendering new views. Indeed, the band of the function
is approximately limited and new views can be rendered using classical interpolation
methods. However, IBR using undersampled light fields suffers from aliasing effects and
is difficult particularly when the scene has large depth variations and occlusions. In order
to deal with these cases, we study two approaches:
New sampling schemes have recently emerged that are able to perfectly reconstruct
certain classes of parametric signals that are not bandlimited but characterized by a finite
number of parameters. In this context, we derive novel sampling schemes for piecewise
sinusoidal and polynomial signals. In particular, we show that a piecewise sinusoidal signal
with arbitrarily high frequencies can be exactly recovered given certain conditions. These
results are applied to parametric multiview data that are not bandlimited.
We also focus on the problem of extracting regions (or layers) in multiview images
that can be individually rendered free of aliasing. The problem is posed in a multidimensional
variational framework using region competition. In extension to previous
methods, layers are considered as multi-dimensional hypervolumes. Therefore the segmentation
is done jointly over all the images and coherence is imposed throughout the
data. However, instead of propagating active hypersurfaces, we derive a semi-parametric
methodology that takes into account the constraints imposed by the camera setup and the
occlusion ordering. The resulting framework is a global multi-dimensional region competition that is consistent in all the images and efficiently handles occlusions. We show the
validity of the approach with captured light fields. Other special effects such as augmented
reality and disocclusion of hidden objects are also demonstrated
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