This constructor takes the 4 by 4 array of values and pre-computes all the interpolators required for fast computation of any positions value.
121 this->xStartIndex = xStart;
122 this->yStartIndex = yStart;
129 this->a00 = areaToInterpolate[1][1];
130 this->a01 = - ( 0.5 * areaToInterpolate[1][0] ) +
131 ( 0.5 * areaToInterpolate[1][2] );
132 this->a02 = areaToInterpolate[1][0] -
133 ( 2.5 * areaToInterpolate[1][1] ) +
134 ( 2.0 * areaToInterpolate[1][2] ) -
135 ( 0.5 * areaToInterpolate[1][3] );
136 this->a03 = - ( 0.5 * areaToInterpolate[1][0] ) +
137 ( 1.5 * areaToInterpolate[1][1] ) -
138 ( 1.5 * areaToInterpolate[1][2] ) +
139 ( 0.5 * areaToInterpolate[1][3] );
140 this->a10 = - ( 0.5 * areaToInterpolate[0][1] ) +
141 ( 0.5 * areaToInterpolate[2][1] );
142 this->a11 = ( 0.25 * areaToInterpolate[0][0] ) -
143 ( 0.25 * areaToInterpolate[0][2] ) -
144 ( 0.25 * areaToInterpolate[2][0] ) +
145 ( 0.25 * areaToInterpolate[2][2] );
146 this->a12 = - ( 0.5 * areaToInterpolate[0][0] ) +
147 ( 1.25 * areaToInterpolate[0][1] ) -
148 areaToInterpolate[0][2] +
149 ( 0.25 * areaToInterpolate[0][3] ) +
150 ( 0.5 * areaToInterpolate[2][0] ) -
151 ( 1.25 * areaToInterpolate[2][1] ) +
152 areaToInterpolate[2][2] -
153 ( 0.25 * areaToInterpolate[2][3] );
154 this->a13 = ( 0.25 * areaToInterpolate[0][0] ) -
155 ( 0.75 * areaToInterpolate[0][1] ) +
156 ( 0.75 * areaToInterpolate[0][2] ) -
157 ( 0.25 * areaToInterpolate[0][3] ) -
158 ( 0.25 * areaToInterpolate[2][0] ) +
159 ( 0.75 * areaToInterpolate[2][1] ) -
160 ( 0.75 * areaToInterpolate[2][2] ) +
161 ( 0.25 * areaToInterpolate[2][3] );
162 this->a20 = areaToInterpolate[0][1] -
163 ( 2.5 * areaToInterpolate[1][1] ) +
164 ( 2.0 * areaToInterpolate[2][1] ) -
165 ( 0.5 * areaToInterpolate[3][1] );
166 this->a21 = - ( 0.5 * areaToInterpolate[0][0] ) +
167 ( 0.5 * areaToInterpolate[0][2] ) +
168 ( 1.25 * areaToInterpolate[1][0] ) -
169 ( 1.25 * areaToInterpolate[1][2] ) -
170 areaToInterpolate[2][0] + areaToInterpolate[2][2] +
171 ( 0.25 * areaToInterpolate[3][0] ) -
172 ( 0.25 * areaToInterpolate[3][2] );
173 this->a22 = areaToInterpolate[0][0] -
174 ( 2.5 * areaToInterpolate[0][1] ) +
175 ( 2.0 * areaToInterpolate[0][2] ) -
176 ( 0.5 * areaToInterpolate[0][3] ) -
177 ( 2.5 * areaToInterpolate[1][0] ) +
178 ( 6.25 * areaToInterpolate[1][1] ) -
179 ( 5.0 * areaToInterpolate[1][2] ) +
180 ( 1.25 * areaToInterpolate[1][3] ) +
181 ( 2.0 * areaToInterpolate[2][0] ) -
182 ( 5.0 * areaToInterpolate[2][1] ) +
183 ( 4.0 * areaToInterpolate[2][2] ) -
184 areaToInterpolate[2][3] -
185 ( 0.5 * areaToInterpolate[3][0] ) +
186 ( 1.25 * areaToInterpolate[3][1] ) -
187 areaToInterpolate[3][2] +
188 ( 0.25 * areaToInterpolate[3][3] );
189 this->a23 = - ( 0.5 * areaToInterpolate[0][0] ) +
190 ( 1.5 * areaToInterpolate[0][1] ) -
191 ( 1.5 * areaToInterpolate[0][2] ) +
192 ( 0.5 * areaToInterpolate[0][3] ) +
193 ( 1.25 * areaToInterpolate[1][0] ) -
194 ( 3.75 * areaToInterpolate[1][1] ) +
195 ( 3.75 * areaToInterpolate[1][2] ) -
196 ( 1.25 * areaToInterpolate[1][3] ) -
197 areaToInterpolate[2][0] +
198 ( 3.0 * areaToInterpolate[2][1] ) -
199 ( 3.0 * areaToInterpolate[2][2] ) +
200 areaToInterpolate[2][3] +
201 ( 0.25 * areaToInterpolate[3][0] ) -
202 ( 0.75 * areaToInterpolate[3][1] ) +
203 ( 0.75 * areaToInterpolate[3][2] ) -
204 ( 0.25 * areaToInterpolate[3][3] );
205 this->a30 = - ( 0.5 * areaToInterpolate[0][1] ) +
206 ( 1.5 * areaToInterpolate[1][1] ) -
207 ( 1.5 * areaToInterpolate[2][1] ) +
208 ( 0.5*areaToInterpolate[3][1] );
209 this->a31 = ( 0.25 * areaToInterpolate[0][0] ) -
210 ( 0.25 * areaToInterpolate[0][2] ) -
211 ( 0.75 * areaToInterpolate[1][0] ) +
212 ( 0.75 * areaToInterpolate[1][2] ) +
213 ( 0.75 * areaToInterpolate[2][0] ) -
214 ( 0.75 * areaToInterpolate[2][2] ) -
215 ( 0.25 * areaToInterpolate[3][0] ) +
216 ( 0.25 * areaToInterpolate[3][2] );
217 this->a32 = - ( 0.5 * areaToInterpolate[0][0] ) +
218 ( 1.25 * areaToInterpolate[0][1] ) -
219 areaToInterpolate[0][2] +
220 ( 0.25 * areaToInterpolate[0][3] ) +
221 ( 1.5 * areaToInterpolate[1][0] ) -
222 ( 3.75 * areaToInterpolate[1][1] ) +
223 ( 3.0 * areaToInterpolate[1][2] ) -
224 ( 0.75 * areaToInterpolate[1][3] ) -
225 ( 1.5 * areaToInterpolate[2][0] ) +
226 ( 3.75 * areaToInterpolate[2][1] ) -
227 ( 3.0 * areaToInterpolate[2][2] ) +
228 ( 0.75 * areaToInterpolate[2][3] ) +
229 ( 0.5 * areaToInterpolate[3][0] ) -
230 ( 1.25 * areaToInterpolate[3][1] ) +
231 areaToInterpolate[3][2] -
232 ( 0.25 * areaToInterpolate[3][3] );
233 this->a33 = ( 0.25 * areaToInterpolate[0][0] ) -
234 ( 0.75 * areaToInterpolate[0][1] ) +
235 ( 0.75 * areaToInterpolate[0][2] ) -
236 ( 0.25 * areaToInterpolate[0][3] ) -
237 ( 0.75 * areaToInterpolate[1][0] ) +
238 ( 2.25 * areaToInterpolate[1][1] ) -
239 ( 2.25 * areaToInterpolate[1][2] ) +
240 ( 0.75 * areaToInterpolate[1][3] ) +
241 ( 0.75 * areaToInterpolate[2][0] ) -
242 ( 2.25 * areaToInterpolate[2][1] ) +
243 ( 2.25 * areaToInterpolate[2][2] ) -
244 ( 0.75 * areaToInterpolate[2][3] ) -
245 ( 0.25 * areaToInterpolate[3][0] ) +
246 ( 0.75 * areaToInterpolate[3][1] ) -
247 ( 0.75 * areaToInterpolate[3][2] ) +
248 ( 0.25 * areaToInterpolate[3][3] );