Hybrid system for multi-projector geometry calibration
A method of calibrating a multi-projector image display system is provided. According to the method, non-parametric calibration data for the display system is recovered and used to generate a non-parametric model of the display system. Local parametric models relating to the display surface of the projection screen are generated and are compared with data points defined by the non-parametric calibration data to identify one or more local errors in the non-parametric calibration data. The local errors in the non-parametric calibration data are converted to data points defined at least in part by the local parametric models and the projectors are operated to project an image on the image projection screen by utilizing a hybrid calibration model comprising data points taken from the non-parametric model and data points taken from one or more local parametric models. Additional embodiments are disclosed and claimed.
1. A method for calibrating an image display system comprising a plurality of projectors oriented in the direction of an image projection screen and at least one calibration camera, comprising:
capturing, via the calibration camera, k distinct images of the image projection screen including a total of N image points; wherein each of the projectors contributing to each captured image renders a set of fiducials captured by the calibration camera;
computing a global set of points corresponding to said N image points using information including one or both of relative positions of the cameras and the shape of a canonical surface approximating the projection screen;
matching the points with projected fiducials to generate a set of corresponding match points, wherein the the relationship between the N image points and the match points is represented by a non-parametric mapping from each of the N image points to its corresponding position on the canonical surface;
generating a local parametric function defining the relationship between one of the N image points and each of its neighbors, for each of the N image points;
modeling the global set of points as a constraint system such that the error distance between two points observed in two different camera views is computed based on a distance metric between the first point, as seen in the second view, and the second point, as seen in that same view; and
adjusting, according to an error metric that minimizes the total error represented in the constraint system, points that correspond to the same projector location but which have different computed locations in the global set of points.
2. The method of claim 1 , wherein k said calibration cameras are used to capture one image each.
3. A method as claimed in claim 1 wherein the projectors are operated to project an image on the image projection screen by utilizing a hybrid calibration model comprising data points taken from a non-parametric model of the display system derived from the constraint system and data points taken from one or more local parametric models of the display system.
4. A method for calibrating an image display system comprising a plurality of projectors oriented in the direction of an image projection screen and at least one calibration camera, comprising:
capturing, via the calibration camera, k distinct images of the image projection screen including a total of N image points; wherein each of the projectors contributing to each captured image renders a set of fiducials captured by the calibration camera;
computing a global set of points corresponding to said N image points using information including one or both of relative positions of the cameras and the shape of a canonical surface approximating the projection screen;
matching the fiducials with projected targets to generate a set of corresponding match points, wherein the relationship between the N image points and the match points is represented by a non-parametric mapping from each of the N image points to its corresponding position on the canonical surface; and
generating a local parametric function defining the relationship between one of the N image points and each of its neighbors, for each of the N image points.
5. The method of claim 4 , wherein the global set of points is modeled as a constraint system such that the error distance between two points observed in two different camera views is computed based on a distance metric between the first point, as seen in the second view, and the second point, as seen in that same view.
6. The method of claim 5 , wherein the projectors are operated to project an image on the image projection screen by utilizing a hybrid calibration model comprising data points taken from a non-parametric model of the display system derived from the constraint system and data points taken from one or more local parametric models of the display system.
7. The method of claim 4 , wherein the global set of points is adjusted according to an error metric that minimizes the total error represented in some constraint system, points that correspond to the same projector location but which have different computed locations in the global set of points are adjusted in such a way as to minimize an error metric.
8. The method of claim 4 , wherein k said calibration cameras are used to capture one image each.