Skip to content

Commit b30ee1e

Browse files
author
Francisco Romero Hinrichsen
committed
README work
1 parent 0a30c72 commit b30ee1e

File tree

2 files changed

+10
-4
lines changed

2 files changed

+10
-4
lines changed

README.md

Lines changed: 10 additions & 4 deletions
Original file line numberDiff line numberDiff line change
@@ -52,7 +52,7 @@ Since measure spaces are in particular vector spaces, given a family of weights
5252
ω<sub>i</sub> >0, and a family of curves γ<sub>i</sub>, we can now consider μ,
5353
a weighted sum of these transported Dirac deltas
5454
<p align="center">
55-
<img src="https://github.com/panchoop/DGCG_algorithm/blob/assets/tex/eq_5.gif" width="140">
55+
<img src="https://github.com/panchoop/DGCG_algorithm/blob/assets/tex/eq_5.gif" width="800">
5656
</p>
5757
which is also a dynamic Radon measure.
5858

@@ -63,7 +63,9 @@ considered dynamic Radon measures are simply Radon measures. We therefore
6363
consider at each of these time samples t<sub>i</sub>, a forward operator
6464
mapping from the space of Radon measures, into some data space H<sub>i</sub>
6565

66-
![eq_6](https://github.com/panchoop/DGCG_algorithm/blob/assets/tex/eq_6.gif)
66+
<p align="center">
67+
<img src="https://github.com/panchoop/DGCG_algorithm/blob/assets/tex/eq_6.gif" width="300">
68+
</p>
6769

6870
Where at each time sample t<sub>i</sub>, the respective data spaces
6971
H<sub>i</sub> are allowed to be different. Theoretically, these data spaces
@@ -75,13 +77,17 @@ f<sub>1</sub> ∈ H<sub>1</sub>, ... f<sub>T</sub> ∈ H<sub>T</sub>, and given
7577
any dynamical Radon measure ν, the data discrepancy term of our minimization
7678
problem is
7779

78-
![eq_7](https://github.com/panchoop/DGCG_algorithm/blob/assets/tex/eq_7.gif)
80+
<p align="center">
81+
<img src="https://github.com/panchoop/DGCG_algorithm/blob/assets/tex/eq_7.gif" width="400">
82+
</p>
7983

8084
And putting together the data discrepancy term with the proposed
8185
energy J<sub>α, β</sub> to minimize, we build up the target
8286
functional that is minimized by our algorithm.
8387

84-
![main_equation](https://github.com/panchoop/DGCG_algorithm/blob/assets/tex/eq_1.gif)
88+
<p align="center">
89+
<img src="https://github.com/panchoop/DGCG_algorithm/blob/assets/tex/eq_1.gif" width="500">
90+
</p>
8591
8692
The energy J<sub>α, β</sub> will promote sparse solutions μ, and the proposed
8793
algorithm will return one such measure.

tex/eq_1.pdf

-65.7 KB
Binary file not shown.

0 commit comments

Comments
 (0)