|email@example.com (Roberto Marcondes Cesar Junior)
|Posted: Tue Jun 03, 1997 7:54 pm
Subject: Answer: Wavelet transforms for vegatation (WD 6.5 #29)
|#13 Answer: Wavelet transforms for vegatation (WD 6.5 #29)
Dear Klaus Halbritter
I have indicated some works about shape representation and
analysis using wavelets in the May issue of the Wavelet Digest
(WD 6.5 #22). As far as I can imagine, any of those works
can be extended in order to deal with surfaces instead of
curves, though I have not seen any paper in this direction.
Further, as I have mentioned in my last answer, I have
developed different shape analysis methods for neuromorphometry,
i.e. shape analysis of biological neurons. Although I am
not familiar with the research in the characterization of
trees, it seems to me that neurons and trees do have the similar
branching structure. Therefore, maybe you can use analogous methods
in your problem.
Another tool for neuromorphometry that I
am currently developing is the so called dendrograms, which are
abstract data structures that describe the branching structure
of neurons, and which may also include additional information
regarding their shape structure, like mean length of dendritic
segments, mean bending energy, etc. A new work explaining my
technique will be available soon. In my technique, I use the
multiscale curvature description (which is related to continuous
wavelet transform) of the neural contour in order to locate
branch points and extremities.
If you or any other WD reader is interested, I can send you
some copies of my works regarding these issues. Please just
send me your address.
Here I give further references on dendrograms and neuromorphometry.
R.M. Cesar Jr. and L. da F. Costa, Application and Assessment of
Multiscale Bending Energy for Morphometric Characterization of Neural Cells,
Review of Scientific Instruments, 68(5): 2177-2186 , May 1997.
L. da F. Costa, Computer Vision based Morphometric
Characterization of Neural Cells, Review of
Scientific Instruments, 66(7):3770-3773, July, 1995.
Roman R. Poznanski, Modelling the Electronic Structure of Starburst Amacrine
Cells in the Rabbit Retina: Functional Interpretation of Dendritic Morphology,
Bulletin of Mathematical Biology,
E. De Schutter and J. M. Bower, An Active Membrane Model of the Cerebellar
Purkinje Cell I. Simulation of Current Clamps in Slice, Journal of Neurophysiology,
71(1):375-400, January 1994.
D.A. Turner, X.-G. Li, G.K. Pyapali, A. Ylinen and G. Buzsaki, Morphometric and
Electrical Properties of Reconstructed Hippocampal CA3 Neurons Recorded In Vivo,
The Journal of Comparative Neurology, 356:556-580, 1995.
T.J. Velte and R.F. Miller, Dendritic Integration in Ganglion Cells of the
Mudpuppy Retina, Visual Neuroscience, 12:165-175, 1995.