[163] | 1 | |
---|
| 2 | |
---|
| 3 | <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en"> |
---|
| 4 | <head> |
---|
| 5 | <title>quadrilateral2square.pro (SAXO Documentation Assistant)</title> |
---|
| 6 | </head> |
---|
| 7 | |
---|
| 8 | <body text="#000000" bgcolor="#FFFFFF"> |
---|
| 9 | |
---|
| 10 | |
---|
| 11 | <!-- Navbar template takes a structure with the following fields: |
---|
| 12 | overview_href : |
---|
| 13 | overview_selected : |
---|
| 14 | dir_overview_href : |
---|
| 15 | dir_overview_selected : |
---|
| 16 | categories_href : |
---|
| 17 | categories_selected : |
---|
| 18 | index_href : |
---|
| 19 | index_selected : |
---|
| 20 | search_href : |
---|
| 21 | search_selected : |
---|
| 22 | file_selected : |
---|
| 23 | source_href : |
---|
| 24 | source_selected : |
---|
| 25 | help_href : |
---|
| 26 | help_selected : |
---|
| 27 | etc_selected : |
---|
| 28 | |
---|
| 29 | prev_file_href : |
---|
| 30 | next_file_href : |
---|
| 31 | |
---|
| 32 | view_single_page_href : |
---|
| 33 | view_frames_href : |
---|
| 34 | |
---|
| 35 | summary_fields_href : |
---|
| 36 | summary_routine_href : |
---|
| 37 | details_routine_href : |
---|
| 38 | |
---|
| 39 | title : |
---|
| 40 | subtitle : |
---|
| 41 | user : |
---|
| 42 | --> |
---|
| 43 | |
---|
| 44 | |
---|
| 45 | <table border="0" cellpadding="0" cellspacing="0" width="98%" bgcolor="#F0F0FF" valign="bottom"> |
---|
| 46 | <tr> |
---|
| 47 | <td width="10%"> |
---|
| 48 | <a href="neighbor.html"><img src="./../prev.gif" border="0" alt="Previous"></a></td> |
---|
| 49 | <td width="80%" align="center" valign="center"> |
---|
| 50 | <font size=-1><i>SAXO Documentation Assistant</i>: <a href="./../home.html">Overview</a></font></td> |
---|
| 51 | <td width="10%" align="right"> |
---|
| 52 | <a href="spl_fstdrv.html"><img src="./../next.gif" border="0" alt="Next"></a></td> |
---|
| 53 | </tr> |
---|
| 54 | </table> |
---|
| 55 | |
---|
| 56 | |
---|
| 57 | <h1><font size="-2">Interpolation/</font></h1> |
---|
| 58 | <h2>quadrilateral2square.pro</h2> |
---|
| 59 | |
---|
| 60 | <dl> |
---|
| 61 | </dl> |
---|
| 62 | |
---|
| 63 | |
---|
| 64 | warm (or map) an arbitrary quadrilateral onto a unit square |
---|
| 65 | according to the 4-point correspondences: |
---|
[402] | 66 | - (x0,y0) -> (0,0) |
---|
| 67 | - (x1,y1) -> (1,0) |
---|
| 68 | - (x2,y2) -> (1,1) |
---|
| 69 | - (x3,y3) -> (0,1) |
---|
| 70 | |
---|
[290] | 71 | This is the inverse function of <a href="..//Interpolation/square2quadrilateral.html">square2quadrilateral</a>. |
---|
[234] | 72 | |
---|
[163] | 73 | The mapping is done using perspective transformation which preserve |
---|
| 74 | lines in all orientations and permit quadrilateral to quadrilateral |
---|
[363] | 75 | mappings. see ref. below. |
---|
[163] | 76 | |
---|
| 77 | |
---|
| 78 | |
---|
| 79 | |
---|
| 80 | |
---|
| 81 | <a name="#_quadrilateral2square"></a> |
---|
| 82 | |
---|
[234] | 83 | <h2>quadrilateral2square <font size="-1" color="#006633"> |
---|
[163] | 84 | Picture, Grid |
---|
| 85 | </font></h2> |
---|
| 86 | |
---|
[290] | 87 | <p><font face="Courier"><i>result = </i>quadrilateral2square(<i><a href="#_quadrilateral2square_keyword_x0in">x0in</a>, <a href="#_quadrilateral2square_keyword_y0in">y0in</a>, <a href="#_quadrilateral2square_keyword_x1in">x1in</a>, <a href="#_quadrilateral2square_keyword_y1in">y1in</a>, <a href="#_quadrilateral2square_keyword_x2in">x2in</a>, <a href="#_quadrilateral2square_keyword_y2in">y2in</a>, <a href="#_quadrilateral2square_keyword_x3in">x3in</a>, <a href="#_quadrilateral2square_keyword_y3in">y3in</a>, <a href="#_quadrilateral2square_keyword_xxin">xxin</a>, <a href="#_quadrilateral2square_keyword_yyin">yyin</a></i>, <a href="#_quadrilateral2square_keyword_PERF">PERF</a>=<i>salar 0 or 1</i>, <a href="#_quadrilateral2square_keyword_DOUBLE">DOUBLE</a>=<i>salar 0 or 1</i>)</font></p> |
---|
[163] | 88 | |
---|
| 89 | |
---|
| 90 | |
---|
| 91 | |
---|
| 92 | <h3>Return value</h3> |
---|
[242] | 93 | (2,n) array: the new coordinates (xout,yout) of the (xin,yin) point(s) after |
---|
[163] | 94 | mapping. |
---|
| 95 | If xin is a scalar, then n is equal to the number of elements of x0. |
---|
[242] | 96 | If xin is an array, then n is equal to the number of elements of xin. |
---|
[163] | 97 | |
---|
| 98 | |
---|
| 99 | |
---|
| 100 | <h3>Parameters</h3> |
---|
| 101 | |
---|
| 102 | |
---|
| 103 | <a name="#_quadrilateral2square_keyword_x0in"></a> |
---|
| 104 | <h4>x0in |
---|
| 105 | <font size="-1" color="#006633">in</font> |
---|
| 106 | |
---|
| 107 | |
---|
| 108 | <font size="-1" color="#006633">required</font> |
---|
| 109 | |
---|
| 110 | |
---|
| 111 | |
---|
| 112 | |
---|
| 113 | </h4> |
---|
| 114 | |
---|
| 115 | |
---|
| 116 | |
---|
| 117 | |
---|
| 118 | <a name="#_quadrilateral2square_keyword_y0in"></a> |
---|
| 119 | <h4>y0in |
---|
| 120 | <font size="-1" color="#006633">in</font> |
---|
| 121 | |
---|
| 122 | |
---|
| 123 | <font size="-1" color="#006633">required</font> |
---|
| 124 | |
---|
| 125 | |
---|
| 126 | |
---|
| 127 | |
---|
| 128 | </h4> |
---|
| 129 | |
---|
| 130 | |
---|
| 131 | |
---|
| 132 | |
---|
| 133 | <a name="#_quadrilateral2square_keyword_x1in"></a> |
---|
| 134 | <h4>x1in |
---|
| 135 | <font size="-1" color="#006633">in</font> |
---|
| 136 | |
---|
| 137 | |
---|
| 138 | <font size="-1" color="#006633">required</font> |
---|
| 139 | |
---|
| 140 | |
---|
| 141 | |
---|
| 142 | |
---|
| 143 | </h4> |
---|
| 144 | |
---|
| 145 | |
---|
| 146 | |
---|
| 147 | |
---|
| 148 | <a name="#_quadrilateral2square_keyword_y1in"></a> |
---|
| 149 | <h4>y1in |
---|
| 150 | <font size="-1" color="#006633">in</font> |
---|
| 151 | |
---|
| 152 | |
---|
| 153 | <font size="-1" color="#006633">required</font> |
---|
| 154 | |
---|
| 155 | |
---|
| 156 | |
---|
| 157 | |
---|
| 158 | </h4> |
---|
| 159 | |
---|
| 160 | |
---|
| 161 | |
---|
| 162 | |
---|
| 163 | <a name="#_quadrilateral2square_keyword_x2in"></a> |
---|
| 164 | <h4>x2in |
---|
| 165 | <font size="-1" color="#006633">in</font> |
---|
| 166 | |
---|
| 167 | |
---|
| 168 | <font size="-1" color="#006633">required</font> |
---|
| 169 | |
---|
| 170 | |
---|
| 171 | |
---|
| 172 | |
---|
| 173 | </h4> |
---|
| 174 | |
---|
| 175 | |
---|
| 176 | |
---|
| 177 | |
---|
| 178 | <a name="#_quadrilateral2square_keyword_y2in"></a> |
---|
| 179 | <h4>y2in |
---|
| 180 | <font size="-1" color="#006633">in</font> |
---|
| 181 | |
---|
| 182 | |
---|
| 183 | <font size="-1" color="#006633">required</font> |
---|
| 184 | |
---|
| 185 | |
---|
| 186 | |
---|
| 187 | |
---|
| 188 | </h4> |
---|
| 189 | |
---|
| 190 | |
---|
| 191 | |
---|
| 192 | |
---|
| 193 | <a name="#_quadrilateral2square_keyword_x3in"></a> |
---|
| 194 | <h4>x3in |
---|
| 195 | <font size="-1" color="#006633">in</font> |
---|
| 196 | |
---|
| 197 | |
---|
| 198 | <font size="-1" color="#006633">required</font> |
---|
| 199 | |
---|
| 200 | |
---|
| 201 | |
---|
| 202 | |
---|
| 203 | </h4> |
---|
| 204 | |
---|
| 205 | |
---|
| 206 | |
---|
| 207 | |
---|
| 208 | <a name="#_quadrilateral2square_keyword_y3in"></a> |
---|
| 209 | <h4>y3in |
---|
| 210 | <font size="-1" color="#006633">in</font> |
---|
| 211 | |
---|
| 212 | |
---|
| 213 | <font size="-1" color="#006633">required</font> |
---|
| 214 | |
---|
| 215 | |
---|
| 216 | |
---|
| 217 | |
---|
| 218 | </h4> |
---|
| 219 | |
---|
| 220 | |
---|
| 221 | the coordinates of the quadrilateral |
---|
| 222 | (see above for correspondence with the unit square). Can be |
---|
| 223 | scalar or array. (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are |
---|
| 224 | given in the anticlockwise order. |
---|
| 225 | |
---|
| 226 | |
---|
| 227 | |
---|
| 228 | <a name="#_quadrilateral2square_keyword_xxin"></a> |
---|
| 229 | <h4>xxin |
---|
| 230 | <font size="-1" color="#006633">in</font> |
---|
| 231 | |
---|
| 232 | |
---|
| 233 | <font size="-1" color="#006633">required</font> |
---|
| 234 | |
---|
| 235 | |
---|
| 236 | |
---|
| 237 | |
---|
| 238 | </h4> |
---|
| 239 | |
---|
| 240 | |
---|
| 241 | the coordinates of the point(s) for which we want to do the mapping. |
---|
| 242 | Can be scalar or array. |
---|
| 243 | |
---|
| 244 | |
---|
| 245 | |
---|
| 246 | <a name="#_quadrilateral2square_keyword_yyin"></a> |
---|
| 247 | <h4>yyin |
---|
| 248 | <font size="-1" color="#006633">in</font> |
---|
| 249 | |
---|
| 250 | |
---|
| 251 | <font size="-1" color="#006633">required</font> |
---|
| 252 | |
---|
| 253 | |
---|
| 254 | |
---|
| 255 | |
---|
| 256 | </h4> |
---|
| 257 | |
---|
| 258 | |
---|
| 259 | the coordinates of the point(s) for which we want to do the mapping. |
---|
| 260 | Can be scalar or array. |
---|
| 261 | |
---|
| 262 | |
---|
| 263 | |
---|
| 264 | |
---|
| 265 | |
---|
| 266 | <h3>Keywords</h3> |
---|
| 267 | |
---|
| 268 | |
---|
| 269 | <a name="#_quadrilateral2square_keyword_PERF"></a> |
---|
| 270 | <h4>PERF |
---|
| 271 | |
---|
| 272 | |
---|
| 273 | |
---|
| 274 | |
---|
| 275 | |
---|
[290] | 276 | <font size="-1" color="#006633">type:</font> <font size="-1" color="#006633"><i>salar 0 or 1</i></font> |
---|
| 277 | <font size="-1" color="#006633">default:</font> <font size="-1" color="#006633"><i>0</i></font> |
---|
[163] | 278 | |
---|
[290] | 279 | </h4> |
---|
| 280 | |
---|
| 281 | |
---|
| 282 | activate to print the elapsed time spent within quadrilateral2square |
---|
| 283 | |
---|
| 284 | |
---|
| 285 | <a name="#_quadrilateral2square_keyword_DOUBLE"></a> |
---|
| 286 | <h4>DOUBLE |
---|
[163] | 287 | |
---|
| 288 | |
---|
[290] | 289 | |
---|
| 290 | |
---|
| 291 | |
---|
| 292 | <font size="-1" color="#006633">type:</font> <font size="-1" color="#006633"><i>salar 0 or 1</i></font> |
---|
| 293 | <font size="-1" color="#006633">default:</font> <font size="-1" color="#006633"><i>0</i></font> |
---|
| 294 | |
---|
[163] | 295 | </h4> |
---|
| 296 | |
---|
| 297 | |
---|
[290] | 298 | activate to perform double precision computation |
---|
[163] | 299 | |
---|
| 300 | |
---|
| 301 | |
---|
| 302 | |
---|
[234] | 303 | <h3>Examples</h3><pre> |
---|
[163] | 304 | |
---|
[402] | 305 | IDL> splot,[0,5],[0,3],/nodata,xstyle=1,ystyle=1 |
---|
| 306 | IDL> tracegrille, findgen(11)*.1, findgen(11)*.1,color=indgen(12)*20 |
---|
| 307 | IDL> xin = (findgen(11)*.1)#replicate(1, 11) |
---|
| 308 | IDL> yin = replicate(1, 11)#(findgen(11)*.1) |
---|
| 309 | IDL> out = square2quadrilateral(2,1,3,0,5,1,2,3, xin, yin) |
---|
| 310 | IDL> tracegrille, reform(out[0,*],11,11), reform(out[1,*],11,11),color=indgen(12)*20 |
---|
[163] | 311 | |
---|
[402] | 312 | IDL> inorg=quadrilateral2square(2,1,3,0,5,1,2,3,out[0,*],out[1,*]) |
---|
| 313 | IDL> tracegrille, reform(inorg[0,*],11,11), reform(inorg[1,*],11,11),color=indgen(12)*20 |
---|
[163] | 314 | |
---|
[234] | 315 | </pre><h3>Version history</h3> |
---|
[163] | 316 | |
---|
[234] | 317 | <h4>Version</h4> |
---|
[402] | 318 | $Id: quadrilateral2square.pro 372 2008-08-08 12:31:53Z pinsard $ |
---|
[163] | 319 | |
---|
| 320 | <h4>History</h4> |
---|
| 321 | Sebastien Masson (smasson@lodyc.jussieu.fr) |
---|
| 322 | August 2003 |
---|
| 323 | Based on "Digital Image Warping" by G. Wolberg |
---|
| 324 | IEEE Computer Society Press, Los Alamitos, California |
---|
| 325 | Chapter 3, see p 52-56 |
---|
| 326 | |
---|
| 327 | |
---|
| 328 | |
---|
| 329 | |
---|
| 330 | <h3>Known issues</h3> |
---|
| 331 | |
---|
| 332 | |
---|
| 333 | |
---|
| 334 | <h4>Restrictions</h4> |
---|
| 335 | I think degenerated quadrilateral (e.g. flat of twisted) is not work. |
---|
| 336 | This has to be tested. |
---|
| 337 | |
---|
| 338 | |
---|
| 339 | |
---|
| 340 | |
---|
| 341 | |
---|
| 342 | |
---|
| 343 | |
---|
| 344 | |
---|
| 345 | |
---|
| 346 | |
---|
| 347 | <font size="-3"><p> </p></font> |
---|
| 348 | <hr size="1" color="#CCCCCC"/> |
---|
| 349 | |
---|
| 350 | |
---|
| 351 | |
---|
| 352 | |
---|
[187] | 353 | <p><font color="gray" size="-3"> Produced by IDLdoc 2.0.</font></p> |
---|
[163] | 354 | |
---|
| 355 | </body> |
---|
[249] | 356 | </html> |
---|