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| 57 | <td><a href="../../../Interpolation//square2quadrilateral.pro" title="Source code of a file">Source</a></td> |
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| 74 | <a href="spl_keep_mean.html"><<prev file</a> | next file >> <a href="square2quadrilateral.html" target="_TOP">view single page</a> | <a href="./../index.html" target="_TOP">view frames</a> summary: fields | routine details: <a href="#routine_details">routine</a> |
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| 78 | |
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| 79 | <div id="container"> |
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| 80 | |
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| 81 | <h1 class="directory"><a href="directory-overview.html">Interpolation/</a></h1> |
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| 82 | <h2 class="pro_file">square2quadrilateral.pro</h2> |
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| 83 | |
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| 84 | <div id="file_attr"> |
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| 85 | <dl> |
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| 86 | </dl> |
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| 87 | </div> |
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| 88 | |
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| 89 | <div id="file_comments"> |
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| 90 | warm (or map) a unit square onto an arbitrary quadrilateral |
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| 91 | according to the 4-point correspondences: |
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| 92 | (0,0) -> (x0,y0) |
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| 93 | (1,0) -> (x1,y1) |
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| 94 | (1,1) -> (x2,y2) |
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| 95 | (0,1) -> (x3,y3) |
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| 96 | The mapping is done using perspective transformation which preserve |
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| 97 | lines in all orientations and permit quadrilateral to quadrilateral |
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| 98 | mappings. see ref. bellow. |
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| 99 | </div> |
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| 100 | |
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| 101 | |
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| 102 | |
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| 103 | |
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| 104 | |
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| 105 | |
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| 106 | |
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| 107 | |
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| 108 | |
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| 109 | <div id="routine_details"> |
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| 110 | |
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| 111 | |
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| 112 | <div class="routine_details" id="_square2quadrilateral"> |
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| 113 | |
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| 114 | <h2><a class="top" href="#container">top</a>square2quadrilateral <span class="categories"> |
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| 115 | Picture, Grid |
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| 116 | </span></h2> |
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| 117 | |
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| 118 | <p class="header"> |
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| 119 | <span class="result">result = </span>square2quadrilateral(<span class="result"><a href="#_square2quadrilateral_param_x0in">x0in</a>, <a href="#_square2quadrilateral_param_y0in">y0in</a>, <a href="#_square2quadrilateral_param_x1in">x1in</a>, <a href="#_square2quadrilateral_param_y1in">y1in</a>, <a href="#_square2quadrilateral_param_x2in">x2in</a>, <a href="#_square2quadrilateral_param_y2in">y2in</a>, <a href="#_square2quadrilateral_param_x3in">x3in</a>, <a href="#_square2quadrilateral_param_y3in">y3in</a>[, <a href="#_square2quadrilateral_param_xxin">xxin</a>][, <a href="#_square2quadrilateral_param_yyin">yyin</a>]</span>, <a href="#_square2quadrilateral_keyword_DOUBLE">DOUBLE</a>=<span class="result">salar 0 or 1</span>)</p> |
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| 120 | |
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| 121 | <div class="comments"> |
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| 122 | </div> |
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| 123 | |
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| 124 | <h3>Return value</h3><div class="preformat"> |
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| 125 | (2,n) array: the new coordinates (xout,yout) of the (xin,yin) |
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| 126 | point(s) after mapping. |
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| 127 | If xin is a scalar, then n is equal to the number of elements of |
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| 128 | x0. If xin is an array , then n is equal to the number of |
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| 129 | elements of xin. |
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| 130 | If xin and yin are omitted, <a href="..//Interpolation/square2quadrilateral.html">square2quadrilateral</a> returns the |
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| 131 | matrix A which is used for the inverse transformation. |
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| 132 | </div> |
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| 133 | |
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| 134 | |
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| 135 | <h3>Parameters</h3> |
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| 136 | |
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| 137 | |
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| 138 | <h4 id="_square2quadrilateral_param_x0in">x0in |
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| 139 | <span class="attr">in</span> |
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| 140 | |
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| 141 | |
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| 142 | <span class="attr">required</span> |
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| 143 | |
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| 144 | |
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| 145 | |
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| 146 | |
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| 147 | </h4> |
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| 148 | |
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| 149 | <div class="comments"></div> |
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| 150 | |
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| 151 | <h4 id="_square2quadrilateral_param_y0in">y0in |
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| 152 | <span class="attr">in</span> |
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| 153 | |
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| 154 | |
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| 155 | <span class="attr">required</span> |
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| 156 | |
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| 157 | |
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| 158 | |
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| 159 | |
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| 160 | </h4> |
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| 161 | |
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| 162 | <div class="comments"></div> |
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| 163 | |
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| 164 | <h4 id="_square2quadrilateral_param_x1in">x1in |
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| 165 | <span class="attr">in</span> |
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| 166 | |
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| 167 | |
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| 168 | <span class="attr">required</span> |
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| 169 | |
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| 170 | |
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| 171 | |
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| 172 | |
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| 173 | </h4> |
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| 174 | |
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| 175 | <div class="comments"></div> |
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| 176 | |
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| 177 | <h4 id="_square2quadrilateral_param_y1in">y1in |
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| 178 | <span class="attr">in</span> |
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| 179 | |
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| 180 | |
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| 181 | <span class="attr">required</span> |
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| 182 | |
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| 183 | |
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| 184 | |
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| 185 | |
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| 186 | </h4> |
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| 187 | |
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| 188 | <div class="comments"></div> |
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| 189 | |
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| 190 | <h4 id="_square2quadrilateral_param_x2in">x2in |
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| 191 | <span class="attr">in</span> |
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| 192 | |
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| 193 | |
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| 194 | <span class="attr">required</span> |
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| 195 | |
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| 196 | |
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| 197 | |
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| 198 | |
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| 199 | </h4> |
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| 200 | |
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| 201 | <div class="comments"></div> |
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| 202 | |
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| 203 | <h4 id="_square2quadrilateral_param_y2in">y2in |
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| 204 | <span class="attr">in</span> |
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| 205 | |
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| 206 | |
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| 207 | <span class="attr">required</span> |
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| 208 | |
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| 209 | |
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| 210 | |
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| 211 | |
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| 212 | </h4> |
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| 213 | |
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| 214 | <div class="comments"></div> |
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| 215 | |
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| 216 | <h4 id="_square2quadrilateral_param_x3in">x3in |
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| 217 | <span class="attr">in</span> |
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| 218 | |
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| 219 | |
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| 220 | <span class="attr">required</span> |
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| 221 | |
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| 222 | |
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| 223 | |
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| 224 | |
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| 225 | </h4> |
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| 226 | |
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| 227 | <div class="comments"></div> |
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| 228 | |
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| 229 | <h4 id="_square2quadrilateral_param_y3in">y3in |
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| 230 | <span class="attr">in</span> |
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| 231 | |
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| 232 | |
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| 233 | <span class="attr">required</span> |
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| 234 | |
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| 235 | |
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| 236 | |
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| 237 | |
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| 238 | </h4> |
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| 239 | |
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| 240 | <div class="comments"> |
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| 241 | the coordinates of the quadrilateral (see above for correspondence with the |
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| 242 | unit square). |
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| 243 | Can be scalar or array. |
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| 244 | (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are given in the anticlockwise order. |
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| 245 | </div> |
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| 246 | |
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| 247 | <h4 id="_square2quadrilateral_param_xxin">xxin |
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| 248 | <span class="attr">in</span> |
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| 249 | |
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| 250 | <span class="attr">optional</span> |
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| 251 | |
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| 252 | |
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| 253 | |
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| 254 | |
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| 255 | |
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| 256 | </h4> |
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| 257 | |
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| 258 | <div class="comments"> |
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| 259 | first coordinates of the point(s) for which we want to do the mapping.</div> |
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| 260 | |
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| 261 | <h4 id="_square2quadrilateral_param_yyin">yyin |
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| 262 | <span class="attr">in</span> |
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| 263 | |
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| 264 | <span class="attr">optional</span> |
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| 265 | |
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| 266 | |
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| 267 | |
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| 268 | |
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| 269 | |
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| 270 | </h4> |
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| 271 | |
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| 272 | <div class="comments"> |
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| 273 | second coordinates of the point(s) for which we want to do the mapping. |
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| 274 | </div> |
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| 275 | |
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| 276 | |
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| 277 | |
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| 278 | |
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| 279 | |
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| 280 | |
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| 281 | <h3>Keywords</h3> |
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| 282 | |
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| 283 | <h4 id="_square2quadrilateral_keyword_DOUBLE">DOUBLE |
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| 284 | |
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| 285 | |
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| 286 | |
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| 287 | |
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| 288 | |
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| 289 | <span class="attr">type:</span> <span class="value">salar 0 or 1</span> |
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| 290 | <span class="attr">default:</span> <span class="value">0</span> |
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| 291 | |
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| 292 | </h4> |
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| 293 | |
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| 294 | <div class="comments"> |
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| 295 | activate to perform double precision computation |
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| 296 | </div> |
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| 297 | |
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| 298 | |
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| 299 | |
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| 300 | <h3>Examples</h3><div class="preformat"> |
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| 301 | |
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| 302 | IDL> splot,[0,5],[0,3],/nodata,xstyle=1,ystyle=1 |
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| 303 | IDL> tracegrille, findgen(11)*.1, findgen(11)*.1,color=indgen(12)*20 |
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| 304 | IDL> xin = (findgen(11)*.1)#replicate(1, 11) |
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| 305 | IDL> yin = replicate(1, 11)#(findgen(11)*.1) |
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| 306 | IDL> out = square2quadrilateral(2,1,3,0,5,1,2,3, xin, yin) |
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| 307 | IDL> tracegrille, reform(out[0,*],11,11), reform(out[1,*],11,11),color=indgen(12)*20 |
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| 308 | </div> |
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| 309 | <h3>Version history</h3> |
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| 310 | |
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| 311 | <h4>Version</h4><div class="preformat"> |
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| 312 | $Id: square2quadrilateral.pro 327 2007-12-13 16:22:35Z pinsard $ |
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| 313 | </div> |
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| 314 | <h4>History</h4><div class="preformat"> |
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| 315 | Sebastien Masson (smasson@lodyc.jussieu.fr) |
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| 316 | August 2003 |
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| 317 | Based on "Digital Image Warping" by G. Wolberg |
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| 318 | IEEE Computer Society Press, Los Alamitos, California |
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| 319 | Chapter 3, see p 52-56 |
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| 320 | |
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| 321 | </div> |
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| 322 | |
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| 323 | |
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| 324 | <h3>Known issues</h3> |
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| 325 | |
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| 326 | |
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| 327 | |
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| 328 | <h4>Restrictions</h4><div class="preformat"> |
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| 329 | I think degenerated quadrilateral (e.g. flat of twisted) is not work. |
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| 330 | This has to be tested. |
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| 331 | </div> |
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| 332 | |
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| 333 | |
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| 334 | |
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| 335 | |
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| 336 | |
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| 337 | |
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| 338 | |
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| 339 | |
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| 340 | |
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| 341 | <h3>Statistics</h3> |
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| 342 | <table class="statistics"> |
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| 343 | <tr><td>McCabe cyclic</td><td> 14</td></tr> |
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| 344 | <tr><td>McCabe essential</td><td> 1</td></tr> |
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| 345 | <tr><td>McCabe modular design</td><td> 1</td></tr> |
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| 346 | </table> |
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| 347 | |
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| 348 | |
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| 349 | </div> |
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| 350 | |
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| 351 | </div> |
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