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<a href="#pub-types">Public Types</a> &#124;
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<div class="title">DGtal::concepts::CDigitalMetricSpace&lt; T &gt; Struct Template Reference<div class="ingroups"><a class="el" href="group__Concepts.html">DGtal Concepts</a></div></div>  </div>
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<p>Aim: defines the concept of digital metric spaces.  
 <a href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html#details">More...</a></p>

<p><code>#include &lt;<a class="el" href="CDigitalMetricSpace_8h_source.html">DGtal/geometry/volumes/distance/CDigitalMetricSpace.h</a>&gt;</code></p>
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Inheritance diagram for DGtal::concepts::CDigitalMetricSpace&lt; T &gt;:</div>
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
Public Types</h2></td></tr>
<tr class="memitem:a92f0811e5c44bc46b1be37a072ab2b53"><td class="memItemLeft" align="right" valign="top">typedef T::Point&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html#a92f0811e5c44bc46b1be37a072ab2b53">Point</a></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template&lt;typename T&gt;<br />
struct DGtal::concepts::CDigitalMetricSpace&lt; T &gt;</h3>

<p>Aim: defines the concept of digital metric spaces. </p>
<p>Description of <b>concept</b> '<b><a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html" title="Aim: defines the concept of digital metric spaces.">CDigitalMetricSpace</a>'</b> </p>
<p><a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html" title="Aim: defines the concept of digital metric spaces.">CDigitalMetricSpace</a> is a refinement of <a class="el" href="structDGtal_1_1concepts_1_1CMetricSpace.html" title="Aim: defines the concept of metric spaces.">CMetricSpace</a> such that the value type of the distance function is an Integer type (model of <a class="el" href="structDGtal_1_1concepts_1_1CInteger.html" title="Aim: Concept checking for Integer Numbers. More precisely, this concept is a refinement of both CEucl...">CInteger</a>).</p>
<h1><a class="anchor" id="autotoc_md348"></a>
Refinement of</h1>
<ul>
<li><a class="el" href="structDGtal_1_1concepts_1_1CMetricSpace.html" title="Aim: defines the concept of metric spaces.">CMetricSpace</a></li>
</ul>
<h1><a class="anchor" id="autotoc_md349"></a>
Associated types</h1>
<ul>
<li><em>Space:</em> type of space on which the metric is defined (model of <a class="el" href="structDGtal_1_1concepts_1_1CSpace.html" title="Aim: Defines the concept describing a digital space, ie a cartesian product of integer lines.">CSpace</a>)</li>
<li><em>Point:</em> type of points associated with the underlying metric space.</li>
<li><em>Value:</em> the value type of the metric (model of <a class="el" href="structDGtal_1_1concepts_1_1CInteger.html" title="Aim: Concept checking for Integer Numbers. More precisely, this concept is a refinement of both CEucl...">CInteger</a>)</li>
<li><em>RawValue:</em> the value type for the rawDistance method (model of <a class="el" href="structDGtal_1_1concepts_1_1CInteger.html" title="Aim: Concept checking for Integer Numbers. More precisely, this concept is a refinement of both CEucl...">CInteger</a>)</li>
</ul>
<h1><a class="anchor" id="autotoc_md350"></a>
Notation</h1>
<ul>
<li><em>X</em> : A type that is a model of <a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html" title="Aim: defines the concept of digital metric spaces.">CDigitalMetricSpace</a></li>
<li><em>x</em>, <em>y</em> : object of type X</li>
</ul>
<h1><a class="anchor" id="autotoc_md351"></a>
Definitions</h1>
<h1><a class="anchor" id="autotoc_md352"></a>
Valid expressions and semantics</h1>
<table class="markdownTable">
<tr class="markdownTableHead">
<th class="markdownTableHeadNone">Name   </th><th class="markdownTableHeadNone">Expression   </th><th class="markdownTableHeadNone">Type requirements   </th><th class="markdownTableHeadNone">Return type   </th><th class="markdownTableHeadNone">Precondition   </th><th class="markdownTableHeadNone">Semantics   </th><th class="markdownTableHeadNone">Post condition   </th><th class="markdownTableHeadNone">Complexity    </th></tr>
<tr class="markdownTableRowOdd">
<td class="markdownTableBodyNone"></td><td class="markdownTableBodyNone"></td><td class="markdownTableBodyNone"></td><td class="markdownTableBodyNone"></td><td class="markdownTableBodyNone"></td><td class="markdownTableBodyNone"></td><td class="markdownTableBodyNone"></td><td class="markdownTableBodyNone"></td></tr>
</table>
<h1><a class="anchor" id="autotoc_md353"></a>
Invariants</h1>
<h1><a class="anchor" id="autotoc_md354"></a>
Models</h1>
<h1><a class="anchor" id="autotoc_md355"></a>
Notes</h1>
<dl class="tparams"><dt>Template Parameters</dt><dd>
  <table class="tparams">
    <tr><td class="paramname">T</td><td>the type that should be a model of <a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html" title="Aim: defines the concept of digital metric spaces.">CDigitalMetricSpace</a>. </td></tr>
  </table>
  </dd>
</dl>

<p class="definition">Definition at line <a class="el" href="CDigitalMetricSpace_8h_source.html#l00098">98</a> of file <a class="el" href="CDigitalMetricSpace_8h_source.html">CDigitalMetricSpace.h</a>.</p>
</div><h2 class="groupheader">Member Typedef Documentation</h2>
<a id="a92f0811e5c44bc46b1be37a072ab2b53"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a92f0811e5c44bc46b1be37a072ab2b53">&#9670;&nbsp;</a></span>Point</h2>

<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename T &gt; </div>
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</div><div class="memdoc">

<p class="definition">Definition at line <a class="el" href="CDigitalMetricSpace_8h_source.html#l00102">102</a> of file <a class="el" href="CDigitalMetricSpace_8h_source.html">CDigitalMetricSpace.h</a>.</p>

</div>
</div>
<a id="af0dd6828a467bcffe41f0ff1ee042a3c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af0dd6828a467bcffe41f0ff1ee042a3c">&#9670;&nbsp;</a></span>RawValue</h2>

<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename T &gt; </div>
      <table class="memname">
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          <td class="memname">typedef T::RawValue <a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html">DGtal::concepts::CDigitalMetricSpace</a>&lt; T &gt;::<a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html#af0dd6828a467bcffe41f0ff1ee042a3c">RawValue</a></td>
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</div><div class="memdoc">

<p class="definition">Definition at line <a class="el" href="CDigitalMetricSpace_8h_source.html#l00105">105</a> of file <a class="el" href="CDigitalMetricSpace_8h_source.html">CDigitalMetricSpace.h</a>.</p>

</div>
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<a id="ae9859a530b567239145dadb1efbcc459"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae9859a530b567239145dadb1efbcc459">&#9670;&nbsp;</a></span>Space</h2>

<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename T &gt; </div>
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<p class="definition">Definition at line <a class="el" href="CDigitalMetricSpace_8h_source.html#l00103">103</a> of file <a class="el" href="CDigitalMetricSpace_8h_source.html">CDigitalMetricSpace.h</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#aea78d28a4e8ff0271ff5bb75210fac36">&#9670;&nbsp;</a></span>Value</h2>

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          <td class="memname">typedef T::Value <a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html">DGtal::concepts::CDigitalMetricSpace</a>&lt; T &gt;::<a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html#aea78d28a4e8ff0271ff5bb75210fac36">Value</a></td>
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<p class="definition">Definition at line <a class="el" href="CDigitalMetricSpace_8h_source.html#l00104">104</a> of file <a class="el" href="CDigitalMetricSpace_8h_source.html">CDigitalMetricSpace.h</a>.</p>

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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a8ccee68b0a486cfef5bf51c7fc08a210">&#9670;&nbsp;</a></span>BOOST_CONCEPT_ASSERT() <span class="overload">[1/2]</span></h2>

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          <td class="memname"><a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html">DGtal::concepts::CDigitalMetricSpace</a>&lt; T &gt;::BOOST_CONCEPT_ASSERT </td>
          <td>(</td>
          <td class="paramtype">(<a class="el" href="structDGtal_1_1concepts_1_1CInteger.html">CInteger</a>&lt; <a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html#af0dd6828a467bcffe41f0ff1ee042a3c">RawValue</a> &gt;)&#160;</td>
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<h2 class="memtitle"><span class="permalink"><a href="#a442884db2b175580374f39845f36a441">&#9670;&nbsp;</a></span>BOOST_CONCEPT_ASSERT() <span class="overload">[2/2]</span></h2>

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template&lt;typename T &gt; </div>
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          <td class="memname"><a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html">DGtal::concepts::CDigitalMetricSpace</a>&lt; T &gt;::BOOST_CONCEPT_ASSERT </td>
          <td>(</td>
          <td class="paramtype">(<a class="el" href="structDGtal_1_1concepts_1_1CInteger.html">CInteger</a>&lt; <a class="el" href="structDGtal_1_1concepts_1_1CDigitalMetricSpace.html#aea78d28a4e8ff0271ff5bb75210fac36">Value</a> &gt;)&#160;</td>
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<hr/>The documentation for this struct was generated from the following file:<ul>
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