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リビジョン591674b21b05a8187174f5fe6e53bcdd5605a199 (tree)
日時2008-10-17 08:15:18
作者iselllo
コミッターiselllo

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I modified a bit the introduction to the salt crystal and accepted the modifications by Carlo.

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diff -r 09b492c10b2a -r 591674b21b05 latex-documents/gridformation-cec2009.tex
--- a/latex-documents/gridformation-cec2009.tex Thu Oct 16 13:41:24 2008 +0000
+++ b/latex-documents/gridformation-cec2009.tex Thu Oct 16 23:15:18 2008 +0000
@@ -18,7 +18,7 @@
1818
1919 \hypersetup{
2020 pdfauthor = {Carlo Pinciroli},
21- pdftitle = {Scalable Grid Formation for Mobile Robots with Minimal Assumptions},
21+ pdftitle = {Self-Organizing Grid Formation for Mobile Robots with Minimal Assumptions},
2222 pdfsubject = {},
2323 pdfkeywords = {}
2424 }
@@ -26,11 +26,11 @@
2626 \begin{document}
2727
2828 \title{%
29- \LARGE\bf Scalable Grid Formation for Mobile Robots\\with Minimal Assumptions
29+ \LARGE\bf Self-Organizing Grid Formation for Mobile Robots\\with Minimal Assumptions
3030 \thanks{C.~Pinciroli and M.~Dorigo are with IRIDIA, CoDE,
3131 Universit\'e Libre de Bruxelles, Brussels, Belgium. C.~Ampatzis
3232 is with the European Space Agency, Noordwijk, The
33- Netherlands. L.~Isella is with$\ldots$}}
33+ Netherlands. L.~Isella is with the Joint Research Centre, Ispra, Italy.}}
3434 \author{Carlo Pinciroli, Christos Ampatzis, Lorenzo Isella, Marco Dorigo}
3535
3636 \maketitle
@@ -66,13 +66,45 @@
6666
6767 \section{Color-Based Grid Formation}
6868 \label{sec:method}
69+The method proposed in this paper is inspired by salt crystal structure.
70+ The salt unit cell exhibits a cubic symmetry, where each
71+ positive (negative)
72+ion, Na$^+$ (Cl$^-$), is surrounded by six negative (positive)
73+ions.
74+The NaCl crystal is held together by the electrostatic interaction
75+between the opposite-charged ions. The magnitude of the pair-wise force acting between
76+any two ions is given by Coulomb law
77+$$
78+|F_{\rm ion-to-ion}| \sim r^{-2},
79+$$
80+where $r$ is the ion-to-ion distance. In
81+particular, the force is repulsive for ions having the same charge and
82+attractive otherwise, hence ions of the same kind are kept as far
83+from each other as possible in the NaCl unit cell.
84+
85+
6986 Two main ingredients: colors and color interaction rules.
70-
87+\begin{itemize}
88+\item How does it generalise? Is the interaction between the robots
89+ tunable? What does it aim at? Do we carry out some new simulations
90+ or do we sell the method by validating it against something already
91+ known? Is validation against some known results in literature
92+ possible?
93+\item Is the interaction between the robots pair-wise, hence the
94+total ``force'' acting on a robot is the sum of all the interactions
95+between the given robot and all the other robots in the ensemble?
96+I think that an equation/formula quantitatively explaining this may be
97+necessary.
98+\end{itemize}
7199 \section{Experimental Evaluation}
72100 \label{sec:experiments}
73101 The experiments to assess the quality of the system. Scalability,
74102 precision, convergence.
75103
104+Do we have experiments here? Performed in your lab and with a
105+significant number of interaction robots?
106+
107+
76108 \section{Conclusions and Future Work}
77109 \label{sec:conclusions}
78110 Final words about this paper.
@@ -83,7 +115,7 @@
83115 (IST-FET) of the European Commission (grant IST-022888). Marco Dorigo
84116 acknowledges support from the F.R.S-FNRS of the French Community of
85117 Belgium of which he is Research Director. Christos Ampatzis
86-acknowledges$\dots$ Lorenzo Isella acknowledges$\dots$
118+acknowledges$\dots$.
87119
88120 \bibliographystyle{IEEEtran}
89121