Exploration & Representation of Data with Geometric Wavelets
Eric E Monson, Rachael Brady, Guangliang Chen & Mauro Maggioni
Duke University, Durham NC, USA
Scaling
functions
Pt approx
at scale j
Φj
Φj+1
cj+1
Ψj+1
Manifold
(�)
Center image
of current node
xj+1 Finer
cj+1
cj
cj+2
Wavelet
correction
xj
Wavelet axis images
control current
plot coordinates
x
Current node
Tree
navigation
pt approx
at scale j+1
Icicle view of binary tree
with wavelet coefficent
matrix overlay
Detail view of wavelet axes
for current image with coeff
magnitude mapped to opacity
Original
data point
Wavelets
Centers
cj+2
Tree
structure
Scatterplot of wavelet
coeffs for current node
[email protected]
[email protected]
Mouse hover
data overview
Selections linked
between views
Parallel coordinates plot of
wavelet coeffs at all scales
for all data in current node
Scrollable view of all images
selected in scatter & parallel
coordinates plots (red) with
individual selected (blue)
Exploration & Representation of Data with Geometric Wavelets
Eric E Monson, Rachael Brady, Guangliang Chen & Mauro Maggioni
Duke University, Durham NC, USA
Scaling
functions
Pt approx
at scale j
Φj
cj+1
Manifold
(�)
Φj+1
Ψj+1
x
Wavelets
Centers
Center image
of current node
xj+1 Finer
cj+1
cj
cj+2
Wavelet
correction
xj
Wavelet axis images
control current
plot coordinates
Current node
Tree
navigation
pt approx
at scale j+1
Icicle view of binary tree
with wavelet coefficent
matrix overlay
Detail view of wavelet axes
for current image with coeff
magnitude mapped to opacity
Original
data point
cj+2
Tree
structure
Scatterplot of wavelet
coeffs for current node
[email protected]
[email protected]
Mouse hover
data overview
Selections linked
between views
Parallel coordinates plot of
wavelet coeffs at all scales
for all data in current node
Scrollable view of all images
selected in scatter & parallel
coordinates plots (red) with
individual selected (blue)