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| 74 | <a href="spl_keep_mean.html"><<prev file</a> | <a href="testinterp.html">next file >></a> <a href="square2quadrilateral.html?format=raw" target="_TOP">view single page</a> | <a href="./../index.html?format=raw" target="_TOP">view frames</a> summary: fields | routine details: <a href="#routine_details">routine</a> |
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| 81 | <h1 class="directory"><a href="directory-overview.html?format=raw">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"> warm (or map) a unit square onto an arbitrary quadrilateral |
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| 90 | according to the 4-point correspondences: |
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| 91 | (0,0) -> (x0,y0) |
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| 92 | (1,0) -> (x1,y1) |
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| 93 | (1,1) -> (x2,y2) |
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| 94 | (0,1) -> (x3,y3) |
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| 95 | The mapping is done using perspective transformation which preserve |
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| 96 | lines in all orientations and permit quadrilateral to quadrilateral |
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| 97 | mappings. see ref. bellow. |
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| 98 | </div> |
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| 99 | |
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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 | <div id="routine_details"> |
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| 109 | |
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| 110 | |
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| 111 | <div class="routine_details" id="_square2quadrilateral"> |
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| 112 | |
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| 113 | <h2><a class="top" href="#container">top</a>square2quadrilateral <span class="categories"> image, grid manipulation |
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| 114 | </span></h2> |
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| 115 | |
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| 116 | <p class="header"> |
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| 117 | <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>)</p> |
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| 118 | |
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| 119 | <div class="comments"> |
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| 120 | </div> |
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| 121 | |
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| 122 | <h3>Return value</h3><div class="value"> |
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| 123 | |
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| 124 | (2,n) array: the new coodinates (xout, yout) of the (xin,yin) |
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| 125 | point(s) after mapping. |
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| 126 | If xin is a scalar, then n is equal to the number of elements of |
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| 127 | x0. If xin is an array , then n is equal to the number of |
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| 128 | elements of xin. |
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| 129 | If xin and yin are omited, square2quadrilateral returns the |
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| 130 | matrix A which is used for the inverse transformation. |
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| 131 | |
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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"> the coordinates of the quadrilateral |
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| 150 | (see above for correspondance with the unit square). Can be |
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| 151 | scalar or array. (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are |
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| 152 | given in the anticlockwise order.</div> |
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| 153 | |
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| 154 | <h4 id="_square2quadrilateral_param_y0in">y0in |
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| 155 | <span class="attr">in</span> |
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| 156 | |
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| 157 | |
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| 158 | <span class="attr">required</span> |
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| 159 | |
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| 160 | |
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| 161 | |
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| 162 | |
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| 163 | </h4> |
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| 164 | |
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| 165 | <div class="comments"> the coordinates of the quadrilateral |
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| 166 | (see above for correspondance with the unit square). Can be |
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| 167 | scalar or array. (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are |
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| 168 | given in the anticlockwise order.</div> |
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| 169 | |
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| 170 | <h4 id="_square2quadrilateral_param_x1in">x1in |
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| 171 | <span class="attr">in</span> |
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| 172 | |
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| 173 | |
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| 174 | <span class="attr">required</span> |
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| 175 | |
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| 176 | |
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| 177 | |
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| 178 | |
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| 179 | </h4> |
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| 180 | |
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| 181 | <div class="comments"> the coordinates of the quadrilateral |
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| 182 | (see above for correspondance with the unit square). Can be |
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| 183 | scalar or array. (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are |
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| 184 | given in the anticlockwise order.</div> |
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| 185 | |
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| 186 | <h4 id="_square2quadrilateral_param_y1in">y1in |
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| 187 | <span class="attr">in</span> |
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| 188 | |
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| 189 | |
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| 190 | <span class="attr">required</span> |
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| 191 | |
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| 192 | |
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| 193 | |
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| 194 | |
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| 195 | </h4> |
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| 196 | |
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| 197 | <div class="comments"> the coordinates of the quadrilateral |
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| 198 | (see above for correspondance with the unit square). Can be |
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| 199 | scalar or array. (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are |
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| 200 | given in the anticlockwise order.</div> |
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| 201 | |
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| 202 | <h4 id="_square2quadrilateral_param_x2in">x2in |
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| 203 | <span class="attr">in</span> |
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| 204 | |
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| 205 | |
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| 206 | <span class="attr">required</span> |
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| 207 | |
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| 208 | |
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| 209 | |
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| 210 | |
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| 211 | </h4> |
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| 212 | |
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| 213 | <div class="comments"> the coordinates of the quadrilateral |
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| 214 | (see above for correspondance with the unit square). Can be |
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| 215 | scalar or array. (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are |
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| 216 | given in the anticlockwise order.</div> |
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| 217 | |
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| 218 | <h4 id="_square2quadrilateral_param_y2in">y2in |
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| 219 | <span class="attr">in</span> |
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| 220 | |
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| 221 | |
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| 222 | <span class="attr">required</span> |
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| 223 | |
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| 224 | |
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| 225 | |
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| 226 | |
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| 227 | </h4> |
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| 228 | |
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| 229 | <div class="comments"> the coordinates of the quadrilateral |
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| 230 | (see above for correspondance with the unit square). Can be |
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| 231 | scalar or array. (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are |
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| 232 | given in the anticlockwise order.</div> |
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| 233 | |
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| 234 | <h4 id="_square2quadrilateral_param_x3in">x3in |
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| 235 | <span class="attr">in</span> |
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| 236 | |
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| 237 | |
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| 238 | <span class="attr">required</span> |
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| 239 | |
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| 240 | |
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| 241 | |
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| 242 | |
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| 243 | </h4> |
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| 244 | |
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| 245 | <div class="comments"> the coordinates of the quadrilateral |
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| 246 | (see above for correspondance with the unit square). Can be |
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| 247 | scalar or array. (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are |
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| 248 | given in the anticlockwise order.</div> |
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| 249 | |
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| 250 | <h4 id="_square2quadrilateral_param_y3in">y3in |
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| 251 | <span class="attr">in</span> |
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| 252 | |
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| 253 | |
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| 254 | <span class="attr">required</span> |
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| 255 | |
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| 256 | |
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| 257 | |
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| 258 | |
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| 259 | </h4> |
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| 260 | |
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| 261 | <div class="comments"> the coordinates of the quadrilateral |
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| 262 | (see above for correspondance with the unit square). Can be |
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| 263 | scalar or array. (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are |
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| 264 | given in the anticlockwise order. |
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| 265 | </div> |
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| 266 | |
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| 267 | <h4 id="_square2quadrilateral_param_xxin">xxin |
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| 268 | <span class="attr">in</span> |
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| 269 | |
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| 270 | |
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| 271 | <span class="attr">required</span> |
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| 272 | |
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| 273 | |
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| 274 | |
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| 275 | |
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| 276 | </h4> |
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| 277 | |
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| 278 | <div class="comments"> the coordinates of the point(s) for which we want to do the |
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| 279 | mapping. Can be scalar or array.</div> |
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| 280 | |
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| 281 | <h4 id="_square2quadrilateral_param_yyin">yyin |
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| 282 | <span class="attr">in</span> |
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| 283 | |
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| 284 | |
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| 285 | <span class="attr">required</span> |
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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 | </h4> |
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| 291 | |
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| 292 | <div class="comments"> the coordinates of the point(s) for which we want to do the |
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| 293 | mapping. Can be scalar or array. |
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| 294 | </div> |
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| 295 | |
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| 296 | |
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| 297 | |
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| 298 | |
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| 299 | |
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| 300 | |
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| 301 | <h3>Examples</h3><div class="value"> |
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| 302 | IDL> res = square2quadrilateral(x0,y0,x1,y1,x2,y2,x3,y3[,xin,yin]) |
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| 303 | |
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| 304 | |
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| 305 | |
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| 306 | IDL> splot,[0,5],[0,3],/nodata,xstyle=1,ystyle=1 |
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| 307 | IDL> tracegrille, findgen(11)*.1, findgen(11)*.1,color=indgen(12)*20 |
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| 308 | IDL> xin = (findgen(11)*.1)#replicate(1, 11) |
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| 309 | IDL> yin = replicate(1, 11)#(findgen(11)*.1) |
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| 310 | IDL> out = square2quadrilateral(2,1,3,0,5,1,2,3, xin, yin) |
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| 311 | IDL> tracegrille, reform(out[0,*],11,11), reform(out[1,*],11,11),color=indgen(12)*20 |
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| 312 | </div> |
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| 313 | <h3>Version history</h3> |
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| 314 | |
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| 315 | |
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| 316 | <h4>History</h4><div class="value"> |
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| 317 | Sebastien Masson (smasson@lodyc.jussieu.fr) |
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| 318 | August 2003 |
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| 319 | Based on "Digital Image Warping" by G. Wolberg |
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| 320 | IEEE Computer Society Press, Los Alamitos, California |
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| 321 | Chapter 3, see p 52-56 |
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| 322 | </div> |
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| 323 | |
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| 324 | |
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| 325 | <h3>Known issues</h3> |
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| 326 | |
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| 327 | |
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| 328 | |
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| 329 | <h4>Restrictions</h4><div class="value"> I think degenerated quadrilateral (e.g. flat of |
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| 330 | twisted) is not work. This has to be tested. |
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| 331 | </div> |
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| 332 | |
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| 341 | |
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| 342 | |
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| 343 | </div> |
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| 344 | |
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| 345 | </div> |
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| 347 | |
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| 348 | |
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| 349 | <div id="tagline">Produced by IDLdoc 2.0.</div> |
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