White flowers and white pages (Of a love letter? Of Shakespeare's plays?) created a beautiful but discrete frame for the action.
This paper presents a method that derives a discrete tight frame system from the input image itself to provide a better sparse approximation to the input image.
In [6] a parabolic directional dilation matrix in (R^{2}) is used to derive a discrete tight frame by sampling the continuous curvelet transform (CCT) [7] at dyadic intervals in scale (a_{j}=2^{-j}), at equispaced intervals in direction, (theta_{j,l}=2pi2^{-frac{j}{2}}l), and equispaced sampling on a rotated anisotropic grid in space.
The implications of choosing a discrete time frame of 1999 to 2005, which yielded the best available data at the time of data retrieval, was that patients who were just beginning to revolve prior to or after the cut-off dates would have been excluded.
Actually, continuous frames motivate us to introduce this kind of frames and analogous to continuous frames which are a generalized version of discrete frames, we want to generalize pg-frames in a continuous sense.
While similar to the finite-difference method, it has several advantages such as flexibility to include various types of transport processes and reactions due to probabilistic interpretation, and higher-order accuracy resulting from direct formulation in a discrete-time frame.
Now, we intend to use this space to define a new kind of frames which contain all of continuous and discrete frames; in other words, we will generalize the g-frames to a continuous case that is constructed on the concept of Bochner spaces.
Read Sections 1 and 4. If you make it to lecture, you can probably skip Sections 2 and 3: in class, I will simplify the formulation and notation a lot, and skip the discrete forms (but don't skip the discrete frames).
For more details about discrete frames, see [3].
