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[189] | 47 | <td><a href="./../idldoc-index.html" title="Index of files, routines, and parameters">Index</a></td> |
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[189] | 57 | <td><a href="../../../Interpolation//square2quadrilateral.pro" title="Source code of a file">Source</a></td> |
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[189] | 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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| 76 | </div> |
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| 77 | |
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| 79 | <div id="container"> |
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| 80 | |
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[189] | 81 | <h1 class="directory"><a href="directory-overview.html">Interpolation/</a></h1> |
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[89] | 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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[138] | 89 | <div id="file_comments"> |
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| 90 | warm (or map) a unit square onto an arbitrary quadrilateral |
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[101] | 91 | according to the 4-point correspondences: |
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[402] | 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 | |
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[101] | 97 | The mapping is done using perspective transformation which preserve |
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| 98 | lines in all orientations and permit quadrilateral to quadrilateral |
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[363] | 99 | mappings. see ref. below. |
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[101] | 100 | </div> |
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[89] | 101 | |
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| 102 | |
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| 104 | |
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| 105 | |
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| 106 | |
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| 109 | |
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| 110 | <div id="routine_details"> |
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| 111 | |
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| 112 | |
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| 113 | <div class="routine_details" id="_square2quadrilateral"> |
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| 114 | |
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[234] | 115 | <h2><a class="top" href="#container">top</a>square2quadrilateral <span class="categories"> |
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[157] | 116 | Picture, Grid |
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[138] | 117 | </span></h2> |
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[89] | 118 | |
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| 119 | <p class="header"> |
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[290] | 120 | <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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[89] | 121 | |
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| 122 | <div class="comments"> |
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[101] | 123 | </div> |
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[89] | 124 | |
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[138] | 125 | <h3>Return value</h3><div class="preformat"> |
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[242] | 126 | (2,n) array: the new coordinates (xout,yout) of the (xin,yin) |
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[138] | 127 | point(s) after mapping. |
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| 128 | If xin is a scalar, then n is equal to the number of elements of |
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| 129 | x0. If xin is an array , then n is equal to the number of |
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| 130 | elements of xin. |
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[321] | 131 | If xin and yin are omitted, <a href="..//Interpolation/square2quadrilateral.html">square2quadrilateral</a> returns the |
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[138] | 132 | matrix A which is used for the inverse transformation. |
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[106] | 133 | </div> |
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| 134 | |
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[101] | 135 | |
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| 136 | <h3>Parameters</h3> |
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| 137 | |
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| 138 | |
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| 139 | <h4 id="_square2quadrilateral_param_x0in">x0in |
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[106] | 140 | <span class="attr">in</span> |
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[101] | 141 | |
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| 142 | |
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[106] | 143 | <span class="attr">required</span> |
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[101] | 144 | |
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| 145 | |
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| 146 | |
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| 147 | |
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| 148 | </h4> |
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| 149 | |
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[138] | 150 | <div class="comments"></div> |
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[101] | 151 | |
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| 152 | <h4 id="_square2quadrilateral_param_y0in">y0in |
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[106] | 153 | <span class="attr">in</span> |
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[101] | 154 | |
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| 155 | |
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[106] | 156 | <span class="attr">required</span> |
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[101] | 157 | |
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| 158 | |
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| 159 | |
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| 160 | |
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| 161 | </h4> |
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| 162 | |
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[138] | 163 | <div class="comments"></div> |
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[101] | 164 | |
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| 165 | <h4 id="_square2quadrilateral_param_x1in">x1in |
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[106] | 166 | <span class="attr">in</span> |
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[101] | 167 | |
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| 168 | |
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[106] | 169 | <span class="attr">required</span> |
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[101] | 170 | |
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| 171 | |
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| 172 | |
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| 173 | |
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| 174 | </h4> |
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| 175 | |
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[138] | 176 | <div class="comments"></div> |
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[101] | 177 | |
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| 178 | <h4 id="_square2quadrilateral_param_y1in">y1in |
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[106] | 179 | <span class="attr">in</span> |
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[101] | 180 | |
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| 181 | |
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[106] | 182 | <span class="attr">required</span> |
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[101] | 183 | |
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| 184 | |
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| 185 | |
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| 186 | |
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| 187 | </h4> |
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| 188 | |
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[138] | 189 | <div class="comments"></div> |
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[101] | 190 | |
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| 191 | <h4 id="_square2quadrilateral_param_x2in">x2in |
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[106] | 192 | <span class="attr">in</span> |
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[101] | 193 | |
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| 194 | |
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[106] | 195 | <span class="attr">required</span> |
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[101] | 196 | |
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| 198 | |
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| 199 | |
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| 200 | </h4> |
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| 201 | |
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[138] | 202 | <div class="comments"></div> |
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[101] | 203 | |
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| 204 | <h4 id="_square2quadrilateral_param_y2in">y2in |
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[106] | 205 | <span class="attr">in</span> |
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[101] | 206 | |
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| 207 | |
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[106] | 208 | <span class="attr">required</span> |
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[101] | 209 | |
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| 212 | |
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| 213 | </h4> |
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| 214 | |
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[138] | 215 | <div class="comments"></div> |
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[101] | 216 | |
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| 217 | <h4 id="_square2quadrilateral_param_x3in">x3in |
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[106] | 218 | <span class="attr">in</span> |
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[101] | 219 | |
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| 220 | |
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[106] | 221 | <span class="attr">required</span> |
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[101] | 222 | |
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| 223 | |
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| 224 | |
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| 225 | |
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| 226 | </h4> |
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| 227 | |
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[138] | 228 | <div class="comments"></div> |
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[101] | 229 | |
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| 230 | <h4 id="_square2quadrilateral_param_y3in">y3in |
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[106] | 231 | <span class="attr">in</span> |
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[101] | 232 | |
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| 233 | |
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[106] | 234 | <span class="attr">required</span> |
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[101] | 235 | |
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| 236 | |
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| 237 | |
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| 238 | |
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| 239 | </h4> |
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| 240 | |
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[138] | 241 | <div class="comments"> |
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[163] | 242 | the coordinates of the quadrilateral (see above for correspondence with the |
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[138] | 243 | unit square). |
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| 244 | Can be scalar or array. |
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| 245 | (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are given in the anticlockwise order. |
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[106] | 246 | </div> |
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[101] | 247 | |
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| 248 | <h4 id="_square2quadrilateral_param_xxin">xxin |
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[106] | 249 | <span class="attr">in</span> |
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[101] | 250 | |
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[121] | 251 | <span class="attr">optional</span> |
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[101] | 252 | |
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| 253 | |
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| 254 | |
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| 255 | |
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| 256 | |
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| 257 | </h4> |
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| 258 | |
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[290] | 259 | <div class="comments"> |
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| 260 | first coordinates of the point(s) for which we want to do the mapping.</div> |
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[101] | 261 | |
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| 262 | <h4 id="_square2quadrilateral_param_yyin">yyin |
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[106] | 263 | <span class="attr">in</span> |
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[101] | 264 | |
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[121] | 265 | <span class="attr">optional</span> |
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[101] | 266 | |
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| 267 | |
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| 268 | |
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| 269 | |
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| 270 | |
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| 271 | </h4> |
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| 272 | |
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[138] | 273 | <div class="comments"> |
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[290] | 274 | second coordinates of the point(s) for which we want to do the mapping. |
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[106] | 275 | </div> |
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[101] | 276 | |
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[89] | 277 | |
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[101] | 278 | |
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[89] | 279 | |
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[101] | 280 | |
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[89] | 281 | |
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[290] | 282 | <h3>Keywords</h3> |
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| 283 | |
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| 284 | <h4 id="_square2quadrilateral_keyword_DOUBLE">DOUBLE |
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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 | |
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| 290 | <span class="attr">type:</span> <span class="value">salar 0 or 1</span> |
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| 291 | <span class="attr">default:</span> <span class="value">0</span> |
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| 292 | |
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| 293 | </h4> |
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| 294 | |
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| 295 | <div class="comments"> |
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| 296 | activate to perform double precision computation |
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| 297 | </div> |
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| 298 | |
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| 299 | |
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| 300 | |
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[138] | 301 | <h3>Examples</h3><div class="preformat"> |
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[89] | 302 | |
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[402] | 303 | IDL> splot,[0,5],[0,3],/nodata,xstyle=1,ystyle=1 |
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| 304 | IDL> tracegrille, findgen(11)*.1, findgen(11)*.1,color=indgen(12)*20 |
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| 305 | IDL> xin = (findgen(11)*.1)#replicate(1, 11) |
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| 306 | IDL> yin = replicate(1, 11)#(findgen(11)*.1) |
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| 307 | IDL> out = square2quadrilateral(2,1,3,0,5,1,2,3, xin, yin) |
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| 308 | IDL> tracegrille, reform(out[0,*],11,11), reform(out[1,*],11,11),color=indgen(12)*20 |
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[106] | 309 | </div> |
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| 310 | <h3>Version history</h3> |
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[101] | 311 | |
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[234] | 312 | <h4>Version</h4><div class="preformat"> |
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[402] | 313 | $Id: square2quadrilateral.pro 372 2008-08-08 12:31:53Z pinsard $ |
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[118] | 314 | </div> |
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[138] | 315 | <h4>History</h4><div class="preformat"> |
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[402] | 316 | Sebastien Masson (smasson@lodyc.jussieu.fr) |
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| 317 | - August 2003 |
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| 318 | Based on "Digital Image Warping" by G. Wolberg |
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| 319 | IEEE Computer Society Press, Los Alamitos, California |
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| 320 | Chapter 3, see p 52-56 |
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[118] | 321 | </div> |
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[101] | 322 | |
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| 323 | |
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[106] | 324 | <h3>Known issues</h3> |
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[101] | 325 | |
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| 326 | |
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| 327 | |
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[138] | 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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[106] | 331 | </div> |
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[101] | 332 | |
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[163] | 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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[101] | 347 | |
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| 348 | |
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| 349 | </div> |
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| 350 | |
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[89] | 351 | </div> |
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| 352 | |
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| 354 | |
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| 355 | <div id="tagline">Produced by IDLdoc 2.0.</div> |
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