This constructor takes the 4 by 4 array of values and pre-computes all the interpolators required for fast computation of any positions value.
118 this->xStartIndex = xStart;
119 this->yStartIndex = yStart;
126 this->a00 = areaToInterpolate[1][1];
127 this->a01 = - ( 0.5 * areaToInterpolate[1][0] ) +
128 ( 0.5 * areaToInterpolate[1][2] );
129 this->a02 = areaToInterpolate[1][0] -
130 ( 2.5 * areaToInterpolate[1][1] ) +
131 ( 2.0 * areaToInterpolate[1][2] ) -
132 ( 0.5 * areaToInterpolate[1][3] );
133 this->a03 = - ( 0.5 * areaToInterpolate[1][0] ) +
134 ( 1.5 * areaToInterpolate[1][1] ) -
135 ( 1.5 * areaToInterpolate[1][2] ) +
136 ( 0.5 * areaToInterpolate[1][3] );
137 this->a10 = - ( 0.5 * areaToInterpolate[0][1] ) +
138 ( 0.5 * areaToInterpolate[2][1] );
139 this->a11 = ( 0.25 * areaToInterpolate[0][0] ) -
140 ( 0.25 * areaToInterpolate[0][2] ) -
141 ( 0.25 * areaToInterpolate[2][0] ) +
142 ( 0.25 * areaToInterpolate[2][2] );
143 this->a12 = - ( 0.5 * areaToInterpolate[0][0] ) +
144 ( 1.25 * areaToInterpolate[0][1] ) -
145 areaToInterpolate[0][2] +
146 ( 0.25 * areaToInterpolate[0][3] ) +
147 ( 0.5 * areaToInterpolate[2][0] ) -
148 ( 1.25 * areaToInterpolate[2][1] ) +
149 areaToInterpolate[2][2] -
150 ( 0.25 * areaToInterpolate[2][3] );
151 this->a13 = ( 0.25 * areaToInterpolate[0][0] ) -
152 ( 0.75 * areaToInterpolate[0][1] ) +
153 ( 0.75 * areaToInterpolate[0][2] ) -
154 ( 0.25 * areaToInterpolate[0][3] ) -
155 ( 0.25 * areaToInterpolate[2][0] ) +
156 ( 0.75 * areaToInterpolate[2][1] ) -
157 ( 0.75 * areaToInterpolate[2][2] ) +
158 ( 0.25 * areaToInterpolate[2][3] );
159 this->a20 = areaToInterpolate[0][1] -
160 ( 2.5 * areaToInterpolate[1][1] ) +
161 ( 2.0 * areaToInterpolate[2][1] ) -
162 ( 0.5 * areaToInterpolate[3][1] );
163 this->a21 = - ( 0.5 * areaToInterpolate[0][0] ) +
164 ( 0.5 * areaToInterpolate[0][2] ) +
165 ( 1.25 * areaToInterpolate[1][0] ) -
166 ( 1.25 * areaToInterpolate[1][2] ) -
167 areaToInterpolate[2][0] + areaToInterpolate[2][2] +
168 ( 0.25 * areaToInterpolate[3][0] ) -
169 ( 0.25 * areaToInterpolate[3][2] );
170 this->a22 = areaToInterpolate[0][0] -
171 ( 2.5 * areaToInterpolate[0][1] ) +
172 ( 2.0 * areaToInterpolate[0][2] ) -
173 ( 0.5 * areaToInterpolate[0][3] ) -
174 ( 2.5 * areaToInterpolate[1][0] ) +
175 ( 6.25 * areaToInterpolate[1][1] ) -
176 ( 5.0 * areaToInterpolate[1][2] ) +
177 ( 1.25 * areaToInterpolate[1][3] ) +
178 ( 2.0 * areaToInterpolate[2][0] ) -
179 ( 5.0 * areaToInterpolate[2][1] ) +
180 ( 4.0 * areaToInterpolate[2][2] ) -
181 areaToInterpolate[2][3] -
182 ( 0.5 * areaToInterpolate[3][0] ) +
183 ( 1.25 * areaToInterpolate[3][1] ) -
184 areaToInterpolate[3][2] +
185 ( 0.25 * areaToInterpolate[3][3] );
186 this->a23 = - ( 0.5 * areaToInterpolate[0][0] ) +
187 ( 1.5 * areaToInterpolate[0][1] ) -
188 ( 1.5 * areaToInterpolate[0][2] ) +
189 ( 0.5 * areaToInterpolate[0][3] ) +
190 ( 1.25 * areaToInterpolate[1][0] ) -
191 ( 3.75 * areaToInterpolate[1][1] ) +
192 ( 3.75 * areaToInterpolate[1][2] ) -
193 ( 1.25 * areaToInterpolate[1][3] ) -
194 areaToInterpolate[2][0] +
195 ( 3.0 * areaToInterpolate[2][1] ) -
196 ( 3.0 * areaToInterpolate[2][2] ) +
197 areaToInterpolate[2][3] +
198 ( 0.25 * areaToInterpolate[3][0] ) -
199 ( 0.75 * areaToInterpolate[3][1] ) +
200 ( 0.75 * areaToInterpolate[3][2] ) -
201 ( 0.25 * areaToInterpolate[3][3] );
202 this->a30 = - ( 0.5 * areaToInterpolate[0][1] ) +
203 ( 1.5 * areaToInterpolate[1][1] ) -
204 ( 1.5 * areaToInterpolate[2][1] ) +
205 ( 0.5*areaToInterpolate[3][1] );
206 this->a31 = ( 0.25 * areaToInterpolate[0][0] ) -
207 ( 0.25 * areaToInterpolate[0][2] ) -
208 ( 0.75 * areaToInterpolate[1][0] ) +
209 ( 0.75 * areaToInterpolate[1][2] ) +
210 ( 0.75 * areaToInterpolate[2][0] ) -
211 ( 0.75 * areaToInterpolate[2][2] ) -
212 ( 0.25 * areaToInterpolate[3][0] ) +
213 ( 0.25 * areaToInterpolate[3][2] );
214 this->a32 = - ( 0.5 * areaToInterpolate[0][0] ) +
215 ( 1.25 * areaToInterpolate[0][1] ) -
216 areaToInterpolate[0][2] +
217 ( 0.25 * areaToInterpolate[0][3] ) +
218 ( 1.5 * areaToInterpolate[1][0] ) -
219 ( 3.75 * areaToInterpolate[1][1] ) +
220 ( 3.0 * areaToInterpolate[1][2] ) -
221 ( 0.75 * areaToInterpolate[1][3] ) -
222 ( 1.5 * areaToInterpolate[2][0] ) +
223 ( 3.75 * areaToInterpolate[2][1] ) -
224 ( 3.0 * areaToInterpolate[2][2] ) +
225 ( 0.75 * areaToInterpolate[2][3] ) +
226 ( 0.5 * areaToInterpolate[3][0] ) -
227 ( 1.25 * areaToInterpolate[3][1] ) +
228 areaToInterpolate[3][2] -
229 ( 0.25 * areaToInterpolate[3][3] );
230 this->a33 = ( 0.25 * areaToInterpolate[0][0] ) -
231 ( 0.75 * areaToInterpolate[0][1] ) +
232 ( 0.75 * areaToInterpolate[0][2] ) -
233 ( 0.25 * areaToInterpolate[0][3] ) -
234 ( 0.75 * areaToInterpolate[1][0] ) +
235 ( 2.25 * areaToInterpolate[1][1] ) -
236 ( 2.25 * areaToInterpolate[1][2] ) +
237 ( 0.75 * areaToInterpolate[1][3] ) +
238 ( 0.75 * areaToInterpolate[2][0] ) -
239 ( 2.25 * areaToInterpolate[2][1] ) +
240 ( 2.25 * areaToInterpolate[2][2] ) -
241 ( 0.75 * areaToInterpolate[2][3] ) -
242 ( 0.25 * areaToInterpolate[3][0] ) +
243 ( 0.75 * areaToInterpolate[3][1] ) -
244 ( 0.75 * areaToInterpolate[3][2] ) +
245 ( 0.25 * areaToInterpolate[3][3] );