リビジョン | 591674b21b05a8187174f5fe6e53bcdd5605a199 (tree) |
---|---|
日時 | 2008-10-17 08:15:18 |
作者 | iselllo |
コミッター | iselllo |
I modified a bit the introduction to the salt crystal and accepted the modifications by Carlo.
@@ -18,7 +18,7 @@ | ||
18 | 18 | |
19 | 19 | \hypersetup{ |
20 | 20 | 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}, | |
22 | 22 | pdfsubject = {}, |
23 | 23 | pdfkeywords = {} |
24 | 24 | } |
@@ -26,11 +26,11 @@ | ||
26 | 26 | \begin{document} |
27 | 27 | |
28 | 28 | \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 | |
30 | 30 | \thanks{C.~Pinciroli and M.~Dorigo are with IRIDIA, CoDE, |
31 | 31 | Universit\'e Libre de Bruxelles, Brussels, Belgium. C.~Ampatzis |
32 | 32 | 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.}} | |
34 | 34 | \author{Carlo Pinciroli, Christos Ampatzis, Lorenzo Isella, Marco Dorigo} |
35 | 35 | |
36 | 36 | \maketitle |
@@ -66,13 +66,45 @@ | ||
66 | 66 | |
67 | 67 | \section{Color-Based Grid Formation} |
68 | 68 | \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 | + | |
69 | 86 | 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} | |
71 | 99 | \section{Experimental Evaluation} |
72 | 100 | \label{sec:experiments} |
73 | 101 | The experiments to assess the quality of the system. Scalability, |
74 | 102 | precision, convergence. |
75 | 103 | |
104 | +Do we have experiments here? Performed in your lab and with a | |
105 | +significant number of interaction robots? | |
106 | + | |
107 | + | |
76 | 108 | \section{Conclusions and Future Work} |
77 | 109 | \label{sec:conclusions} |
78 | 110 | Final words about this paper. |
@@ -83,7 +115,7 @@ | ||
83 | 115 | (IST-FET) of the European Commission (grant IST-022888). Marco Dorigo |
84 | 116 | acknowledges support from the F.R.S-FNRS of the French Community of |
85 | 117 | Belgium of which he is Research Director. Christos Ampatzis |
86 | -acknowledges$\dots$ Lorenzo Isella acknowledges$\dots$ | |
118 | +acknowledges$\dots$. | |
87 | 119 | |
88 | 120 | \bibliographystyle{IEEEtran} |
89 | 121 |