| 1 | |
|---|
| 2 | |
|---|
| 3 | <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en"> |
|---|
| 4 | <head> |
|---|
| 5 | <title>square2quadrilateral.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="spl_keep_mean.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=""><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>square2quadrilateral.pro</h2> |
|---|
| 59 | |
|---|
| 60 | <dl> |
|---|
| 61 | </dl> |
|---|
| 62 | |
|---|
| 63 | |
|---|
| 64 | warm (or map) a unit square onto an arbitrary quadrilateral |
|---|
| 65 | according to the 4-point correspondences: |
|---|
| 66 | (0,0) -> (x0,y0) |
|---|
| 67 | (1,0) -> (x1,y1) |
|---|
| 68 | (1,1) -> (x2,y2) |
|---|
| 69 | (0,1) -> (x3,y3) |
|---|
| 70 | The mapping is done using perspective transformation which preserve |
|---|
| 71 | lines in all orientations and permit quadrilateral to quadrilateral |
|---|
| 72 | mappings. see ref. bellow. |
|---|
| 73 | |
|---|
| 74 | |
|---|
| 75 | |
|---|
| 76 | |
|---|
| 77 | |
|---|
| 78 | <a name="#_square2quadrilateral"></a> |
|---|
| 79 | |
|---|
| 80 | <h2>square2quadrilateral <font size="-1" color="#006633"> |
|---|
| 81 | Picture, Grid |
|---|
| 82 | </font></h2> |
|---|
| 83 | |
|---|
| 84 | <p><font face="Courier"><i>result = </i>square2quadrilateral(<i><a href="#_square2quadrilateral_keyword_x0in">x0in</a>, <a href="#_square2quadrilateral_keyword_y0in">y0in</a>, <a href="#_square2quadrilateral_keyword_x1in">x1in</a>, <a href="#_square2quadrilateral_keyword_y1in">y1in</a>, <a href="#_square2quadrilateral_keyword_x2in">x2in</a>, <a href="#_square2quadrilateral_keyword_y2in">y2in</a>, <a href="#_square2quadrilateral_keyword_x3in">x3in</a>, <a href="#_square2quadrilateral_keyword_y3in">y3in</a>[, <a href="#_square2quadrilateral_keyword_xxin">xxin</a>][, <a href="#_square2quadrilateral_keyword_yyin">yyin</a>]</i>, <a href="#_square2quadrilateral_keyword_DOUBLE">DOUBLE</a>=<i>salar 0 or 1</i>)</font></p> |
|---|
| 85 | |
|---|
| 86 | |
|---|
| 87 | |
|---|
| 88 | |
|---|
| 89 | <h3>Return value</h3> |
|---|
| 90 | (2,n) array: the new coordinates (xout,yout) of the (xin,yin) |
|---|
| 91 | point(s) after mapping. |
|---|
| 92 | If xin is a scalar, then n is equal to the number of elements of |
|---|
| 93 | x0. If xin is an array , then n is equal to the number of |
|---|
| 94 | elements of xin. |
|---|
| 95 | If xin and yin are omitted, <a href="..//Interpolation/square2quadrilateral.html">square2quadrilateral</a> returns the |
|---|
| 96 | matrix A which is used for the inverse transformation. |
|---|
| 97 | |
|---|
| 98 | |
|---|
| 99 | |
|---|
| 100 | <h3>Parameters</h3> |
|---|
| 101 | |
|---|
| 102 | |
|---|
| 103 | <a name="#_square2quadrilateral_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="#_square2quadrilateral_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="#_square2quadrilateral_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="#_square2quadrilateral_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="#_square2quadrilateral_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="#_square2quadrilateral_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="#_square2quadrilateral_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="#_square2quadrilateral_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 (see above for correspondence with the |
|---|
| 222 | unit square). |
|---|
| 223 | Can be scalar or array. |
|---|
| 224 | (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are given in the anticlockwise order. |
|---|
| 225 | |
|---|
| 226 | |
|---|
| 227 | |
|---|
| 228 | <a name="#_square2quadrilateral_keyword_xxin"></a> |
|---|
| 229 | <h4>xxin |
|---|
| 230 | <font size="-1" color="#006633">in</font> |
|---|
| 231 | |
|---|
| 232 | <font size="-1" color="#006633">optional</font> |
|---|
| 233 | |
|---|
| 234 | |
|---|
| 235 | |
|---|
| 236 | |
|---|
| 237 | |
|---|
| 238 | </h4> |
|---|
| 239 | |
|---|
| 240 | |
|---|
| 241 | first coordinates of the point(s) for which we want to do the mapping. |
|---|
| 242 | |
|---|
| 243 | |
|---|
| 244 | <a name="#_square2quadrilateral_keyword_yyin"></a> |
|---|
| 245 | <h4>yyin |
|---|
| 246 | <font size="-1" color="#006633">in</font> |
|---|
| 247 | |
|---|
| 248 | <font size="-1" color="#006633">optional</font> |
|---|
| 249 | |
|---|
| 250 | |
|---|
| 251 | |
|---|
| 252 | |
|---|
| 253 | |
|---|
| 254 | </h4> |
|---|
| 255 | |
|---|
| 256 | |
|---|
| 257 | second coordinates of the point(s) for which we want to do the mapping. |
|---|
| 258 | |
|---|
| 259 | |
|---|
| 260 | |
|---|
| 261 | |
|---|
| 262 | |
|---|
| 263 | <h3>Keywords</h3> |
|---|
| 264 | |
|---|
| 265 | |
|---|
| 266 | <a name="#_square2quadrilateral_keyword_DOUBLE"></a> |
|---|
| 267 | <h4>DOUBLE |
|---|
| 268 | |
|---|
| 269 | |
|---|
| 270 | |
|---|
| 271 | |
|---|
| 272 | |
|---|
| 273 | <font size="-1" color="#006633">type:</font> <font size="-1" color="#006633"><i>salar 0 or 1</i></font> |
|---|
| 274 | <font size="-1" color="#006633">default:</font> <font size="-1" color="#006633"><i>0</i></font> |
|---|
| 275 | |
|---|
| 276 | </h4> |
|---|
| 277 | |
|---|
| 278 | |
|---|
| 279 | activate to perform double precision computation |
|---|
| 280 | |
|---|
| 281 | |
|---|
| 282 | |
|---|
| 283 | |
|---|
| 284 | <h3>Examples</h3><pre> |
|---|
| 285 | |
|---|
| 286 | IDL> splot,[0,5],[0,3],/nodata,xstyle=1,ystyle=1 |
|---|
| 287 | IDL> tracegrille, findgen(11)*.1, findgen(11)*.1,color=indgen(12)*20 |
|---|
| 288 | IDL> xin = (findgen(11)*.1)#replicate(1, 11) |
|---|
| 289 | IDL> yin = replicate(1, 11)#(findgen(11)*.1) |
|---|
| 290 | IDL> out = square2quadrilateral(2,1,3,0,5,1,2,3, xin, yin) |
|---|
| 291 | IDL> tracegrille, reform(out[0,*],11,11), reform(out[1,*],11,11),color=indgen(12)*20 |
|---|
| 292 | |
|---|
| 293 | </pre><h3>Version history</h3> |
|---|
| 294 | |
|---|
| 295 | <h4>Version</h4> |
|---|
| 296 | $Id: square2quadrilateral.pro 327 2007-12-13 16:22:35Z pinsard $ |
|---|
| 297 | |
|---|
| 298 | <h4>History</h4> |
|---|
| 299 | Sebastien Masson (smasson@lodyc.jussieu.fr) |
|---|
| 300 | August 2003 |
|---|
| 301 | Based on "Digital Image Warping" by G. Wolberg |
|---|
| 302 | IEEE Computer Society Press, Los Alamitos, California |
|---|
| 303 | Chapter 3, see p 52-56 |
|---|
| 304 | |
|---|
| 305 | |
|---|
| 306 | |
|---|
| 307 | |
|---|
| 308 | <h3>Known issues</h3> |
|---|
| 309 | |
|---|
| 310 | |
|---|
| 311 | |
|---|
| 312 | <h4>Restrictions</h4> |
|---|
| 313 | I think degenerated quadrilateral (e.g. flat of twisted) is not work. |
|---|
| 314 | This has to be tested. |
|---|
| 315 | |
|---|
| 316 | |
|---|
| 317 | |
|---|
| 318 | |
|---|
| 319 | |
|---|
| 320 | |
|---|
| 321 | |
|---|
| 322 | |
|---|
| 323 | |
|---|
| 324 | |
|---|
| 325 | <font size="-3"><p> </p></font> |
|---|
| 326 | <hr size="1" color="#CCCCCC"/> |
|---|
| 327 | |
|---|
| 328 | |
|---|
| 329 | |
|---|
| 330 | |
|---|
| 331 | <p><font color="gray" size="-3"> Produced by IDLdoc 2.0.</font></p> |
|---|
| 332 | |
|---|
| 333 | </body> |
|---|
| 334 | </html> |
|---|
