forked from OSGeo/gdal
-
Notifications
You must be signed in to change notification settings - Fork 0
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Merge pull request OSGeo#8573 from rouault/fix_8572
TPS transformer: use an iterative method to refine the inverse transformation (fixes OSGeo#8572)
- Loading branch information
Showing
6 changed files
with
232 additions
and
8 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,117 @@ | ||
| /****************************************************************************** | ||
| * | ||
| * Project: GDAL | ||
| * Purpose: Generic method to compute inverse coordinate transformation from | ||
| * forward method | ||
| * Author: Even Rouault <even dot rouault at spatialys dot com> | ||
| * | ||
| ****************************************************************************** | ||
| * Copyright (c) 2023, Even Rouault <even dot rouault at spatialys dot com> | ||
| * | ||
| * Permission is hereby granted, free of charge, to any person obtaining a | ||
| * copy of this software and associated documentation files (the "Software"), | ||
| * to deal in the Software without restriction, including without limitation | ||
| * the rights to use, copy, modify, merge, publish, distribute, sublicense, | ||
| * and/or sell copies of the Software, and to permit persons to whom the | ||
| * Software is furnished to do so, subject to the following conditions: | ||
| * | ||
| * The above copyright notice and this permission notice shall be included | ||
| * in all copies or substantial portions of the Software. | ||
| * | ||
| * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS | ||
| * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
| * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL | ||
| * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
| * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING | ||
| * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER | ||
| * DEALINGS IN THE SOFTWARE. | ||
| ****************************************************************************/ | ||
|
|
||
| #include <algorithm> | ||
| #include <cmath> | ||
|
|
||
| #include "gdalgenericinverse.h" | ||
| #include <cstdio> | ||
|
|
||
| /** Compute (xOut, yOut) corresponding to input (xIn, yIn) using | ||
| * the provided forward transformation to emulate the reverse direction. | ||
| * | ||
| * Uses Newton-Raphson method, extended to 2D variables, that is using | ||
| * inversion of the Jacobian 2D matrix of partial derivatives. The derivatives | ||
| * are estimated numerically from the forward method evaluated at close points. | ||
| * | ||
| * Starts with initial guess provided by user in (guessedXOut, guessedYOut) | ||
| * | ||
| * It iterates at most for 15 iterations or as soon as we get below the specified | ||
| * tolerance (on input coordinates) | ||
| */ | ||
| bool GDALGenericInverse2D(double xIn, double yIn, double guessedXOut, | ||
| double guessedYOut, | ||
| GDALForwardCoordTransformer pfnForwardTranformer, | ||
| void *pfnForwardTranformerUserData, double &xOut, | ||
| double &yOut, double toleranceOnInputCoordinates) | ||
| { | ||
| const double dfAbsValOut = std::max(fabs(guessedXOut), fabs(guessedYOut)); | ||
| const double dfEps = dfAbsValOut > 0 ? dfAbsValOut * 1e-6 : 1e-6; | ||
| if (toleranceOnInputCoordinates == 0) | ||
| { | ||
| const double dfAbsValIn = std::max(fabs(xIn), fabs(yIn)); | ||
| toleranceOnInputCoordinates = | ||
| dfAbsValIn > 0 ? dfAbsValIn * 1e-12 : 1e-12; | ||
| } | ||
| xOut = guessedXOut; | ||
| yOut = guessedYOut; | ||
| double deriv_lam_X = 0; | ||
| double deriv_lam_Y = 0; | ||
| double deriv_phi_X = 0; | ||
| double deriv_phi_Y = 0; | ||
| for (int i = 0; i < 15; i++) | ||
| { | ||
| double xApprox; | ||
| double yApprox; | ||
| if (!pfnForwardTranformer(xOut, yOut, xApprox, yApprox, | ||
| pfnForwardTranformerUserData)) | ||
| return false; | ||
| const double deltaX = xApprox - xIn; | ||
| const double deltaY = yApprox - yIn; | ||
| if (fabs(deltaX) < toleranceOnInputCoordinates && | ||
| fabs(deltaY) < toleranceOnInputCoordinates) | ||
| { | ||
| return true; | ||
| } | ||
|
|
||
| // Compute Jacobian matrix | ||
| double xTmp = xOut + dfEps; | ||
| double yTmp = yOut; | ||
| double xTmpOut; | ||
| double yTmpOut; | ||
| if (!pfnForwardTranformer(xTmp, yTmp, xTmpOut, yTmpOut, | ||
| pfnForwardTranformerUserData)) | ||
| return false; | ||
| const double deriv_X_lam = (xTmpOut - xApprox) / dfEps; | ||
| const double deriv_Y_lam = (yTmpOut - yApprox) / dfEps; | ||
|
|
||
| xTmp = xOut; | ||
| yTmp = yOut + dfEps; | ||
| if (!pfnForwardTranformer(xTmp, yTmp, xTmpOut, yTmpOut, | ||
| pfnForwardTranformerUserData)) | ||
| return false; | ||
| const double deriv_X_phi = (xTmpOut - xApprox) / dfEps; | ||
| const double deriv_Y_phi = (yTmpOut - yApprox) / dfEps; | ||
|
|
||
| // Inverse of Jacobian matrix | ||
| const double det = | ||
| deriv_X_lam * deriv_Y_phi - deriv_X_phi * deriv_Y_lam; | ||
| if (det != 0) | ||
| { | ||
| deriv_lam_X = deriv_Y_phi / det; | ||
| deriv_lam_Y = -deriv_X_phi / det; | ||
| deriv_phi_X = -deriv_Y_lam / det; | ||
| deriv_phi_Y = deriv_X_lam / det; | ||
| } | ||
|
|
||
| xOut -= deltaX * deriv_lam_X + deltaY * deriv_lam_Y; | ||
| yOut -= deltaX * deriv_phi_X + deltaY * deriv_phi_Y; | ||
| } | ||
| return false; | ||
| } |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,44 @@ | ||
| /****************************************************************************** | ||
| * | ||
| * Project: GDAL | ||
| * Purpose: Generic method to compute inverse coordinate transformation from | ||
| * forward method | ||
| * Author: Even Rouault <even dot rouault at spatialys dot com> | ||
| * | ||
| ****************************************************************************** | ||
| * Copyright (c) 2023, Even Rouault <even dot rouault at spatialys dot com> | ||
| * | ||
| * Permission is hereby granted, free of charge, to any person obtaining a | ||
| * copy of this software and associated documentation files (the "Software"), | ||
| * to deal in the Software without restriction, including without limitation | ||
| * the rights to use, copy, modify, merge, publish, distribute, sublicense, | ||
| * and/or sell copies of the Software, and to permit persons to whom the | ||
| * Software is furnished to do so, subject to the following conditions: | ||
| * | ||
| * The above copyright notice and this permission notice shall be included | ||
| * in all copies or substantial portions of the Software. | ||
| * | ||
| * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS | ||
| * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
| * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL | ||
| * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
| * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING | ||
| * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER | ||
| * DEALINGS IN THE SOFTWARE. | ||
| ****************************************************************************/ | ||
|
|
||
| #ifndef GDALGENERICINVERSE_H | ||
| #define GDALGENERICINVERSE_H | ||
| #include <stdbool.h> | ||
|
|
||
| typedef bool (*GDALForwardCoordTransformer)(double xIn, double yIn, | ||
| double &xOut, double &yOt, | ||
| void *pUserData); | ||
|
|
||
| bool GDALGenericInverse2D(double xIn, double yIn, double guessedXOut, | ||
| double guessedYOut, | ||
| GDALForwardCoordTransformer pfnForwardTranformer, | ||
| void *pfnForwardTranformerUserData, double &xOut, | ||
| double &yOut, double toleranceOnInputCoordinates = 0); | ||
|
|
||
| #endif // GDALGENERICINVERSE_H |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters