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| 74 | <a href="neighbor.html"><<prev file</a> | <a href="spl_fstdrv.html">next file >></a> <a href="quadrilateral2square.html" 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">quadrilateral2square.pro</h2> |
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| 99 | <div id="routine_details"> |
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| 100 | |
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| 101 | |
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| 102 | <div class="routine_details" id="_quadrilateral2square"> |
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| 103 | |
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| 104 | <h2><a class="top" href="#container">top</a>quadrilateral2square </h2> |
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| 105 | |
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| 106 | <p class="header"> |
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| 107 | <span class="result">result = </span>quadrilateral2square(<span class="result"><a href="#_quadrilateral2square_param_x0in">x0in</a>, <a href="#_quadrilateral2square_param_y0in">y0in</a>, <a href="#_quadrilateral2square_param_x1in">x1in</a>, <a href="#_quadrilateral2square_param_y1in">y1in</a>, <a href="#_quadrilateral2square_param_x2in">x2in</a>, <a href="#_quadrilateral2square_param_y2in">y2in</a>, <a href="#_quadrilateral2square_param_x3in">x3in</a>, <a href="#_quadrilateral2square_param_y3in">y3in</a>, <a href="#_quadrilateral2square_param_xxin">xxin</a>, <a href="#_quadrilateral2square_param_yyin">yyin</a></span>, <a href="#_quadrilateral2square_keyword_PERF">PERF</a>=<span class="result">PERF</span>)</p> |
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| 108 | |
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| 109 | <div class="comments"> |
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| 110 | NAME:quadrilateral2square |
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| 111 | |
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| 112 | PURPOSE:warm (or map) an arbitrary quadrilateral onto a unit square |
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| 113 | according to the 4-point correspondences: |
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| 114 | (x0,y0) -> (0,0) |
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| 115 | (x1,y1) -> (1,0) |
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| 116 | (x2,y2) -> (1,1) |
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| 117 | (x3,y3) -> (0,1) |
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| 118 | This is the inverse function of square2quadrilateral.pro |
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| 119 | The mapping is done using perspective transformation which preserve |
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| 120 | lines in all orientations and permit quadrilateral to quadrilateral |
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| 121 | mappings. see ref. bellow. |
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| 122 | |
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| 123 | CATEGORY:image/grid manipulation |
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| 124 | |
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| 125 | CALLING SEQUENCE: |
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| 126 | |
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| 127 | res = square2quadrilateral(x0,y0,x1,y1,x2,y2,x3,y3,xin,yin) |
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| 128 | |
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| 129 | INPUTS: |
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| 130 | |
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| 131 | x0,y0,x1,y1,x2,y2,x3,y3 the coordinates of the quadrilateral |
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| 132 | (see above for correspondance with the unit square). Can be |
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| 133 | scalar or array. (x0,y0), (x1,y1), (x2,y2) and (x3,y3) are |
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| 134 | given in the anticlockwise order. |
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| 135 | |
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| 136 | xin,yin:the coordinates of the point(s) for which we want to do the |
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| 137 | mapping. Can be scalar or array. |
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| 138 | |
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| 139 | KEYWORD PARAMETERS: |
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| 140 | |
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| 141 | /DOUBLE: use double precision to perform the computation |
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| 142 | |
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| 143 | OUTPUTS: |
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| 144 | |
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| 145 | (2,n) array: the new coodinates (xout, yout) of the (xin,yin) |
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| 146 | point(s) after mapping. |
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| 147 | If xin is a scalar, then n is equal to the number of elements of |
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| 148 | x0. If xin is an array , then n is equal to the number of |
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| 149 | elements of xin. |
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| 150 | |
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| 151 | COMMON BLOCKS:none |
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| 152 | |
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| 153 | SIDE EFFECTS: |
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| 154 | |
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| 155 | RESTRICTIONS: I think degenerated quadrilateral (e.g. flat of |
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| 156 | twisted) is not work. This has to be tested. |
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| 157 | |
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| 158 | EXAMPLE: |
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| 159 | |
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| 160 | IDL> splot,[0,5],[0,3],/nodata,xstyle=1,ystyle=1 |
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| 161 | IDL> tracegrille, findgen(11)*.1, findgen(11)*.1,color=indgen(12)*20 |
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| 162 | IDL> xin = (findgen(11)*.1)#replicate(1, 11) |
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| 163 | IDL> yin = replicate(1, 11)#(findgen(11)*.1) |
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| 164 | IDL> out = square2quadrilateral(2,1,3,0,5,1,2,3, xin, yin) |
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| 165 | IDL> tracegrille, reform(out[0,*],11,11), reform(out[1,*],11,11),color=indgen(12)*20 |
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| 166 | |
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| 167 | IDL> inorg=quadrilateral2square(2,1,3,0,5,1,2,3,out[0,*],out[1,*]) |
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| 168 | IDL> tracegrille, reform(inorg[0,*],11,11), reform(inorg[1,*],11,11),color=indgen(12)*20 |
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| 169 | |
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| 170 | MODIFICATION HISTORY:</div> |
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| 171 | |
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| 172 | |
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| 173 | |
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| 174 | |
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| 175 | <h3>Parameters</h3> |
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| 176 | |
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| 177 | |
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| 178 | <h4 id="_quadrilateral2square_param_x0in">x0in |
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| 187 | </h4> |
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| 188 | |
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| 189 | <div class="comments"></div> |
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| 190 | |
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| 191 | <h4 id="_quadrilateral2square_param_y0in">y0in |
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| 200 | </h4> |
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| 201 | |
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| 202 | <div class="comments"></div> |
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| 203 | |
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| 204 | <h4 id="_quadrilateral2square_param_x1in">x1in |
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| 213 | </h4> |
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| 214 | |
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| 215 | <div class="comments"></div> |
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| 216 | |
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| 217 | <h4 id="_quadrilateral2square_param_y1in">y1in |
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| 226 | </h4> |
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| 228 | <div class="comments"></div> |
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| 229 | |
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| 230 | <h4 id="_quadrilateral2square_param_x2in">x2in |
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| 239 | </h4> |
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| 240 | |
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| 241 | <div class="comments"></div> |
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| 242 | |
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| 243 | <h4 id="_quadrilateral2square_param_y2in">y2in |
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| 252 | </h4> |
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| 253 | |
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| 254 | <div class="comments"></div> |
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| 255 | |
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| 256 | <h4 id="_quadrilateral2square_param_x3in">x3in |
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| 265 | </h4> |
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| 267 | <div class="comments"></div> |
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| 268 | |
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| 269 | <h4 id="_quadrilateral2square_param_y3in">y3in |
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| 278 | </h4> |
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| 279 | |
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| 280 | <div class="comments"></div> |
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| 281 | |
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| 282 | <h4 id="_quadrilateral2square_param_xxin">xxin |
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| 291 | </h4> |
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| 292 | |
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| 293 | <div class="comments"></div> |
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| 294 | |
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| 295 | <h4 id="_quadrilateral2square_param_yyin">yyin |
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| 313 | <h3>Keywords</h3> |
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| 315 | <h4 id="_quadrilateral2square_keyword_PERF">PERF |
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