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Encore quelques notations
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marc-chevalier committed Apr 9, 2015
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Expand Up @@ -985,7 +985,7 @@ Let us denote `p_k=(x_k,y_k)`:math: for `k=1\ldots N`:math:, then
Which can be rewritten

.. math::
X =\left \{ (i,j)\,|\, max_{k=1\ldots N}\{ r_k^2 -(i - x_k)^2 - (j-y_k)^2\} >0\right \}
X =\left \{ (i,j)\,|\, \max_{k=1\ldots N}\{ r_k^2 -(i - x_k)^2 - (j-y_k)^2\} >0\right \}
`\Rightarrow`:math: **Separable decomposition**

Expand Down Expand Up @@ -1190,7 +1190,7 @@ Let us consider a *IsCoveredBy(B,B')* a predicate returning true if `B\subseteq

* If B and B' are *Euclidean balls* `\Rightarrow`:math: The predicate is in `O(1)`:math:

* If B and B' are *Digital balls* `\Rightarrow`:math: The predicate is in `O(max(|B|,|B'|))`:math:
* If B and B' are *Digital balls* `\Rightarrow`:math: The predicate is in `O(\max(|B|,|B'|))`:math:


`B\subset B'`:math: `\Rightarrow`:math: `(B\cap\mathbb{Z}^2)\subset (B'\cap\mathbb{Z}^2)`:math:
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