Frames and Finite Dimensionality:
Frame Transformation, Classification and Algorithms
created: 09/05/2006; last update:
05/05/2008
This webpage is linked to the paper
- P. Balazs, "Frames and Finite
Dimensionality: Frame Transformation, Classification and Algorithms",
submitted (2006), preprint
Codes (MATLAB):
- Build the synthesis matrix for the canonical dual frame: candualframe(D)
- Build the synthesis matrix for the canonical tight frame: cantightframe(D)
- Cross-Gram Matrix of two sequences: CrossGram(D1,D2)
- Calculate the framebounds of a frame: framebounds(D)
- Create random frame (in the unit circle): RandFrame(dim,M)
- Plot 2- and 3-dimensional frame: PlotFrame(D)
- Script for testing the frame transformation using stochastic
parameters: testframtrans2
- Script for testing the frame transformation using fixed frames: testframtrans
- Arrowline 2-D and 3-D vector plot allowing colors and
annotations: vectarrowxxl(p0,p1) [based on external code vectarrow(p0,p1)].
- All codes collected in one ZIP-file.
Pictures:
- Representation of the vectors of the frame (left) and its dual
(right) of Example 3.1
- Representation of the vectors of the frame (left) and its dual
(right) of Example 3.2
R
- Representation of the vectors of the frame (left) and its dual
(right) of Example 3.3 (numbers were manually added).
