-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy path_z_s_h_8h.html
181 lines (179 loc) · 18.8 KB
/
_z_s_h_8h.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
<!-- HTML header for doxygen 1.8.11-->
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.9.3"/>
<title>MRtrix: core/math/ZSH.h File Reference</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="navtree.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="resize.js"></script>
<script type="text/javascript" src="navtreedata.js"></script>
<script type="text/javascript" src="navtree.js"></script>
<link href="search/search.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="search/searchdata.js"></script>
<script type="text/javascript" src="search/search.js"></script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
<link href="stylesheet.css" rel="stylesheet" type="text/css"/>
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
<tbody>
<tr style="height: 56px;">
<td id="projectlogo"><a href=http://www.mrtrix.org><img alt="Logo" src="logo.png"/></a></td>
<td id="projectalign" style="padding-left: 2em;">
<div id="projectname">Developer documentation</div>
<div id="projectbrief">Version 3.0.3-105-gd3941f44</div>
</td>
</tr>
</tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.9.3 -->
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
var searchBox = new SearchBox("searchBox", "search",'Search','.html');
/* @license-end */
</script>
<script type="text/javascript" src="menudata.js"></script>
<script type="text/javascript" src="menu.js"></script>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
$(function() {
initMenu('',true,false,'search.php','Search');
$(document).ready(function() { init_search(); });
});
/* @license-end */
</script>
<div id="main-nav"></div>
</div><!-- top -->
<div id="side-nav" class="ui-resizable side-nav-resizable">
<div id="nav-tree">
<div id="nav-tree-contents">
<div id="nav-sync" class="sync"></div>
</div>
</div>
<div id="splitbar" style="-moz-user-select:none;"
class="ui-resizable-handle">
</div>
</div>
<script type="text/javascript">
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
$(document).ready(function(){initNavTree('_z_s_h_8h.html',''); initResizable(); });
/* @license-end */
</script>
<div id="doc-content">
<!-- window showing the filter options -->
<div id="MSearchSelectWindow"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
onkeydown="return searchBox.OnSearchSelectKey(event)">
</div>
<!-- iframe showing the search results (closed by default) -->
<div id="MSearchResultsWindow">
<iframe src="javascript:void(0)" frameborder="0"
name="MSearchResults" id="MSearchResults">
</iframe>
</div>
<div class="header">
<div class="summary">
<a href="#nested-classes">Classes</a> |
<a href="#namespaces">Namespaces</a> |
<a href="#func-members">Functions</a> </div>
<div class="headertitle"><div class="title">ZSH.h File Reference</div></div>
</div><!--header-->
<div class="contents">
<div class="textblock"><code>#include <Eigen/Dense></code><br />
<code>#include "<a class="el" href="legendre_8h_source.html">math/legendre.h</a>"</code><br />
<code>#include "<a class="el" href="least__squares_8h_source.html">math/least_squares.h</a>"</code><br />
<code>#include "<a class="el" href="_s_h_8h_source.html">math/SH.h</a>"</code><br />
</div>
<p><a href="_z_s_h_8h_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" name="nested-classes"></a>
Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_m_r_1_1_math_1_1_z_s_h_1_1_transform.html">MR::Math::ZSH::Transform< ValueType ></a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:namespace_m_r"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespace_m_r.html">MR</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:namespace_m_r_1_1_math"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespace_m_r_1_1_math.html">MR::Math</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:namespace_m_r_1_1_math_1_1_z_s_h"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="namespace_m_r_1_1_math_1_1_z_s_h.html">MR::Math::ZSH</a></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:ga8df7da8e0754a5e4e0cffb711d37c32c"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#ga8df7da8e0754a5e4e0cffb711d37c32c">MR::Math::ZSH::NforL</a> (int lmax)</td></tr>
<tr class="memdesc:ga8df7da8e0754a5e4e0cffb711d37c32c"><td class="mdescLeft"> </td><td class="mdescRight">the number of (even-degree) coefficients for the given value of <em>lmax</em> <a href="group__zonal__spherical__harmonics.html#ga8df7da8e0754a5e4e0cffb711d37c32c">More...</a><br /></td></tr>
<tr class="separator:ga8df7da8e0754a5e4e0cffb711d37c32c"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga5864439cc87e0e54e0c138400389ca77"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#ga5864439cc87e0e54e0c138400389ca77">MR::Math::ZSH::index</a> (int l)</td></tr>
<tr class="memdesc:ga5864439cc87e0e54e0c138400389ca77"><td class="mdescLeft"> </td><td class="mdescRight">compute the index for coefficient l <a href="group__zonal__spherical__harmonics.html#ga5864439cc87e0e54e0c138400389ca77">More...</a><br /></td></tr>
<tr class="separator:ga5864439cc87e0e54e0c138400389ca77"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga91d0c1c4376953a96dc8f66986326025"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#ga91d0c1c4376953a96dc8f66986326025">MR::Math::ZSH::LforN</a> (int N)</td></tr>
<tr class="memdesc:ga91d0c1c4376953a96dc8f66986326025"><td class="mdescLeft"> </td><td class="mdescRight">returns the largest <em>lmax</em> given <em>N</em> parameters <a href="group__zonal__spherical__harmonics.html#ga91d0c1c4376953a96dc8f66986326025">More...</a><br /></td></tr>
<tr class="separator:ga91d0c1c4376953a96dc8f66986326025"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gafc48d35e555ae9719610682ab20e40fd"><td class="memTemplParams" colspan="2">template<typename value_type , class VectorType > </td></tr>
<tr class="memitem:gafc48d35e555ae9719610682ab20e40fd"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="core_2eigen__plugins_2matrix_8h.html#a0dbfdb5c21751ef81e4f7d5173bf4705">Eigen::Matrix</a>< value_type, Eigen::Dynamic, Eigen::Dynamic > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#gafc48d35e555ae9719610682ab20e40fd">MR::Math::ZSH::init_amp_transform</a> (const VectorType &els, const size_t lmax)</td></tr>
<tr class="memdesc:gafc48d35e555ae9719610682ab20e40fd"><td class="mdescLeft"> </td><td class="mdescRight">form the ZSH->amplitudes matrix for a set of elevation angles <a href="group__zonal__spherical__harmonics.html#gafc48d35e555ae9719610682ab20e40fd">More...</a><br /></td></tr>
<tr class="separator:gafc48d35e555ae9719610682ab20e40fd"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gac82e336c373264a210657efd7916f38d"><td class="memTemplParams" colspan="2">template<typename value_type , class VectorType > </td></tr>
<tr class="memitem:gac82e336c373264a210657efd7916f38d"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="core_2eigen__plugins_2matrix_8h.html#a0dbfdb5c21751ef81e4f7d5173bf4705">Eigen::Matrix</a>< value_type, Eigen::Dynamic, Eigen::Dynamic > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#gac82e336c373264a210657efd7916f38d">MR::Math::ZSH::init_deriv_transform</a> (const VectorType &els, const size_t lmax)</td></tr>
<tr class="memdesc:gac82e336c373264a210657efd7916f38d"><td class="mdescLeft"> </td><td class="mdescRight">form the ZSH->derivatives matrix for a set of elevation angles <a href="group__zonal__spherical__harmonics.html#gac82e336c373264a210657efd7916f38d">More...</a><br /></td></tr>
<tr class="separator:gac82e336c373264a210657efd7916f38d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gad07ed92fb96436c2e32c038501363332"><td class="memTemplParams" colspan="2">template<class VectorType > </td></tr>
<tr class="memitem:gad07ed92fb96436c2e32c038501363332"><td class="memTemplItemLeft" align="right" valign="top">VectorType::Scalar </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#gad07ed92fb96436c2e32c038501363332">MR::Math::ZSH::value</a> (const VectorType &coefs, typename VectorType::Scalar elevation, const size_t lmax)</td></tr>
<tr class="separator:gad07ed92fb96436c2e32c038501363332"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga504fda03427ae2e965a29e526543df51"><td class="memTemplParams" colspan="2">template<class VectorType > </td></tr>
<tr class="memitem:ga504fda03427ae2e965a29e526543df51"><td class="memTemplItemLeft" align="right" valign="top">VectorType::Scalar </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#ga504fda03427ae2e965a29e526543df51">MR::Math::ZSH::derivative</a> (const VectorType &coefs, const typename VectorType::Scalar elevation, const size_t lmax)</td></tr>
<tr class="separator:ga504fda03427ae2e965a29e526543df51"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga08c23193bee5994196f782d5a01631bf"><td class="memTemplParams" colspan="2">template<class VectorType1 , class VectorType2 > </td></tr>
<tr class="memitem:ga08c23193bee5994196f782d5a01631bf"><td class="memTemplItemLeft" align="right" valign="top">VectorType1 & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#ga08c23193bee5994196f782d5a01631bf">MR::Math::ZSH::ZSH2SH</a> (VectorType1 &sh, const VectorType2 &zsh)</td></tr>
<tr class="separator:ga08c23193bee5994196f782d5a01631bf"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gad404aa52b4975653abad431b6140dee5"><td class="memTemplParams" colspan="2">template<class VectorType > </td></tr>
<tr class="memitem:gad404aa52b4975653abad431b6140dee5"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="core_2eigen__plugins_2matrix_8h.html#a0dbfdb5c21751ef81e4f7d5173bf4705">Eigen::Matrix</a>< typename VectorType::Scalar, Eigen::Dynamic, 1 > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#gad404aa52b4975653abad431b6140dee5">MR::Math::ZSH::ZSH2SH</a> (const VectorType &zsh)</td></tr>
<tr class="separator:gad404aa52b4975653abad431b6140dee5"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga9be2bfabf4a9cf7decca0d9a4855798b"><td class="memTemplParams" colspan="2">template<class VectorType1 , class VectorType2 > </td></tr>
<tr class="memitem:ga9be2bfabf4a9cf7decca0d9a4855798b"><td class="memTemplItemLeft" align="right" valign="top">VectorType1 & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#ga9be2bfabf4a9cf7decca0d9a4855798b">MR::Math::ZSH::SH2ZSH</a> (VectorType1 &zsh, const VectorType2 &sh)</td></tr>
<tr class="separator:ga9be2bfabf4a9cf7decca0d9a4855798b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga0faf14fe4f77bc398e155ff2b82ab008"><td class="memTemplParams" colspan="2">template<class VectorType > </td></tr>
<tr class="memitem:ga0faf14fe4f77bc398e155ff2b82ab008"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="core_2eigen__plugins_2matrix_8h.html#a0dbfdb5c21751ef81e4f7d5173bf4705">Eigen::Matrix</a>< typename VectorType::Scalar, Eigen::Dynamic, 1 > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#ga0faf14fe4f77bc398e155ff2b82ab008">MR::Math::ZSH::SH2ZSH</a> (const VectorType &sh)</td></tr>
<tr class="separator:ga0faf14fe4f77bc398e155ff2b82ab008"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga035799977415554aaef1ba6eb7950ab3"><td class="memTemplParams" colspan="2">template<class VectorType1 , class VectorType2 > </td></tr>
<tr class="memitem:ga035799977415554aaef1ba6eb7950ab3"><td class="memTemplItemLeft" align="right" valign="top">VectorType1 & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#ga035799977415554aaef1ba6eb7950ab3">MR::Math::ZSH::ZSH2RH</a> (VectorType1 &rh, const VectorType2 &zsh)</td></tr>
<tr class="separator:ga035799977415554aaef1ba6eb7950ab3"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga089431f50efa1f7ac0ca5e38e8bbaa22"><td class="memTemplParams" colspan="2">template<class VectorType > </td></tr>
<tr class="memitem:ga089431f50efa1f7ac0ca5e38e8bbaa22"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="core_2eigen__plugins_2matrix_8h.html#a0dbfdb5c21751ef81e4f7d5173bf4705">Eigen::Matrix</a>< typename VectorType::Scalar, Eigen::Dynamic, 1 > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#ga089431f50efa1f7ac0ca5e38e8bbaa22">MR::Math::ZSH::ZSH2RH</a> (const VectorType &zsh)</td></tr>
<tr class="separator:ga089431f50efa1f7ac0ca5e38e8bbaa22"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaad663bad9cad5b0aaa3f5ccfcc5403b1"><td class="memTemplParams" colspan="2">template<class VectorType1 , class VectorType2 > </td></tr>
<tr class="memitem:gaad663bad9cad5b0aaa3f5ccfcc5403b1"><td class="memTemplItemLeft" align="right" valign="top">VectorType1 & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#gaad663bad9cad5b0aaa3f5ccfcc5403b1">MR::Math::ZSH::zsconv</a> (VectorType1 &zsh, const VectorType2 &RH)</td></tr>
<tr class="memdesc:gaad663bad9cad5b0aaa3f5ccfcc5403b1"><td class="mdescLeft"> </td><td class="mdescRight">perform zonal spherical convolution, in place <a href="group__zonal__spherical__harmonics.html#gaad663bad9cad5b0aaa3f5ccfcc5403b1">More...</a><br /></td></tr>
<tr class="separator:gaad663bad9cad5b0aaa3f5ccfcc5403b1"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:gaad2b065dfb17856d2d19dbfc02b542e0"><td class="memTemplParams" colspan="2">template<class VectorType1 , class VectorType2 , class VectorType3 > </td></tr>
<tr class="memitem:gaad2b065dfb17856d2d19dbfc02b542e0"><td class="memTemplItemLeft" align="right" valign="top">VectorType1 & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#gaad2b065dfb17856d2d19dbfc02b542e0">MR::Math::ZSH::zsconv</a> (VectorType1 &C, const VectorType2 &RH, const VectorType3 &zsh)</td></tr>
<tr class="memdesc:gaad2b065dfb17856d2d19dbfc02b542e0"><td class="mdescLeft"> </td><td class="mdescRight">perform zonal spherical convolution <a href="group__zonal__spherical__harmonics.html#gaad2b065dfb17856d2d19dbfc02b542e0">More...</a><br /></td></tr>
<tr class="separator:gaad2b065dfb17856d2d19dbfc02b542e0"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ga78a9ba8a083ac2ba0b17cfabea459889"><td class="memTemplParams" colspan="2">template<class VectorType > </td></tr>
<tr class="memitem:ga78a9ba8a083ac2ba0b17cfabea459889"><td class="memTemplItemLeft" align="right" valign="top">VectorType & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__zonal__spherical__harmonics.html#ga78a9ba8a083ac2ba0b17cfabea459889">MR::Math::ZSH::FA2ZSH</a> (VectorType &zsh, default_type FA, default_type ADC, default_type bvalue, const size_t lmax, const size_t precision=100)</td></tr>
<tr class="memdesc:ga78a9ba8a083ac2ba0b17cfabea459889"><td class="mdescLeft"> </td><td class="mdescRight">compute <a class="el" href="namespace_m_r_1_1_math_1_1_z_s_h.html">ZSH</a> coefficients corresponding to specified tensor <a href="group__zonal__spherical__harmonics.html#ga78a9ba8a083ac2ba0b17cfabea459889">More...</a><br /></td></tr>
<tr class="separator:ga78a9ba8a083ac2ba0b17cfabea459889"><td class="memSeparator" colspan="2"> </td></tr>
</table>
</div><!-- contents -->
</div><!-- doc-content -->
<!-- start footer part -->
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
<ul>
<li class="navelem"><a class="el" href="dir_4270bfced15e0e73154b13468c7c9ad9.html">core</a></li><li class="navelem"><a class="el" href="dir_e07ac01d65d17e829451634057f91345.html">math</a></li><li class="navelem"><a class="el" href="_z_s_h_8h.html">ZSH.h</a></li>
<li class="footer">Generated on Mon Jul 4 2022 08:00:07 for MRtrix by <a href="https://www.doxygen.org/index.html"><img class="footer" src="doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.3 </li>
</ul>
</div>
</body>
</html>