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+// Copyright (c) 2010 libmv authors.
+//
+// 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 LIBMV_MULTIVIEW_EUCLIDEAN_RESECTION_H_
+#define LIBMV_MULTIVIEW_EUCLIDEAN_RESECTION_H_
+
+#include "libmv/numeric/numeric.h"
+#include "libmv/multiview/projection.h"
+
+namespace libmv {
+namespace euclidean_resection {
+
+enum ResectionMethod {
+ RESECTION_ANSAR_DANIILIDIS,
+
+ // The "EPnP" algorithm by Lepetit et al.
+ // http://cvlab.epfl.ch/~lepetit/papers/lepetit_ijcv08.pdf
+ RESECTION_EPNP,
+
+ // The Procrustes PNP algorithm ("PPnP")
+ // http://www.diegm.uniud.it/fusiello/papers/3dimpvt12-b.pdf
+ RESECTION_PPNP
+};
+
+/**
+ * Computes the extrinsic parameters, R and t for a calibrated camera
+ * from 4 or more 3D points and their normalized images.
+ *
+ * \param x_camera Image points in normalized camera coordinates e.g. x_camera
+ * = inv(K) * x_image.
+ * \param X_world 3D points in the world coordinate system
+ * \param R Solution for the camera rotation matrix
+ * \param t Solution for the camera translation vector
+ * \param method The resection method to use.
+ */
+bool EuclideanResection(const Mat2X &x_camera,
+ const Mat3X &X_world,
+ Mat3 *R, Vec3 *t,
+ ResectionMethod method = RESECTION_EPNP);
+
+/**
+ * Computes the extrinsic parameters, R and t for a calibrated camera
+ * from 4 or more 3D points and their images.
+ *
+ * \param x_image Image points in non-normalized image coordinates. The
+ * coordates are laid out one per row. The matrix can be Nx2
+ * or Nx3 for euclidean or homogenous 2D coordinates.
+ * \param X_world 3D points in the world coordinate system
+ * \param K Intrinsic parameters camera matrix
+ * \param R Solution for the camera rotation matrix
+ * \param t Solution for the camera translation vector
+ * \param method Resection method
+ */
+bool EuclideanResection(const Mat &x_image,
+ const Mat3X &X_world,
+ const Mat3 &K,
+ Mat3 *R, Vec3 *t,
+ ResectionMethod method = RESECTION_EPNP);
+
+/**
+ * The absolute orientation algorithm recovers the transformation between a set
+ * of 3D points, X and Xp such that:
+ *
+ * Xp = R*X + t
+ *
+ * The recovery of the absolute orientation is implemented after this article:
+ * Horn, Hilden, "Closed-form solution of absolute orientation using
+ * orthonormal matrices"
+ */
+void AbsoluteOrientation(const Mat3X &X,
+ const Mat3X &Xp,
+ Mat3 *R,
+ Vec3 *t);
+
+/**
+ * Computes the extrinsic parameters, R and t for a calibrated camera from 4 or
+ * more 3D points and their images.
+ *
+ * \param x_camera Image points in normalized camera coordinates, e.g.
+ * x_camera=inv(K)*x_image
+ * \param X_world 3D points in the world coordinate system
+ * \param R Solution for the camera rotation matrix
+ * \param t Solution for the camera translation vector
+ *
+ * This is the algorithm described in: "Linear Pose Estimation from Points or
+ * Lines", by Ansar, A. and Daniilidis, PAMI 2003. vol. 25, no. 5.
+ */
+void EuclideanResectionAnsarDaniilidis(const Mat2X &x_camera,
+ const Mat3X &X_world,
+ Mat3 *R, Vec3 *t);
+/**
+ * Computes the extrinsic parameters, R and t for a calibrated camera from 4 or
+ * more 3D points and their images.
+ *
+ * \param x_camera Image points in normalized camera coordinates,
+ * e.g. x_camera = inv(K) * x_image
+ * \param X_world 3D points in the world coordinate system
+ * \param R Solution for the camera rotation matrix
+ * \param t Solution for the camera translation vector
+ *
+ * This is the algorithm described in:
+ * "{EP$n$P: An Accurate $O(n)$ Solution to the P$n$P Problem", by V. Lepetit
+ * and F. Moreno-Noguer and P. Fua, IJCV 2009. vol. 81, no. 2
+ * \note: the non-linear optimization is not implemented here.
+ */
+bool EuclideanResectionEPnP(const Mat2X &x_camera,
+ const Mat3X &X_world,
+ Mat3 *R, Vec3 *t);
+
+/**
+ * Computes the extrinsic parameters, R and t for a calibrated camera from 4 or
+ * more 3D points and their images.
+ *
+ * \param x_camera Image points in normalized camera coordinates,
+ * e.g. x_camera = inv(K) * x_image
+ * \param X_world 3D points in the world coordinate system
+ * \param R Solution for the camera rotation matrix
+ * \param t Solution for the camera translation vector
+ *
+ * Straight from the paper:
+ * http://www.diegm.uniud.it/fusiello/papers/3dimpvt12-b.pdf
+ */
+bool EuclideanResectionPPnP(const Mat2X &x_camera,
+ const Mat3X &X_world,
+ Mat3 *R, Vec3 *t);
+
+} // namespace euclidean_resection
+} // namespace libmv
+
+
+#endif /* LIBMV_MULTIVIEW_EUCLIDEAN_RESECTION_H_ */