Apparatuses and methods for mapping image coordinates to ground coordinates
First Claim
1. A method performed on a processor of adjusting at least one image to provide a relationship between a ground coordinate space and an image coordinate space, the method comprising the steps of:
- obtaining an image having an image coordinate space;
establishing a nominal relationship between the image coordinate space and a ground coordinate space;
fitting a nominal parametric equation having at least one coefficient to the established nominal relationship such that the nominal parametric equation describes the established nominal relationship between the image coordinate space and the ground coordinate space;
developing an adjustment model by combining the fitted nominal equation with a parametric adjustment equation having at least one adjustable coefficient;
measuring GCP ground coordinates and the GCP image coordinates of at least one ground control point (GCP);
forming observation equations using the measured GCP ground coordinates and GCP image coordinates; and
solving for the at least one adjustable coefficient of the developed adjustment model using the formed observation equations and the developed adjustment model.
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Abstract
A method for photogrammetric block adjustment of satellite imagery using a simplified adjustment model in-lieu of a physical camera model. A known relationship between image space line and sample coordinate and object space X, Y, Z coordinates is provided by a mathematical model. Observations comprise ground control points, tie points, or other observations for which approximate knowledge of object and image space coordinates is available. The photogrammetric block adjustment determines the parameters of the adjustment model to best fit the observations and measurements. Object coordinates can be calculated for features measured in the images after block adjustment. In one embodiment the method is utilized for photogrammetric block adjustment of satellite imagery described by a rational polynomial (RPC) camera model rather than by a physical camera model.
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Citations
84 Claims
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1. A method performed on a processor of adjusting at least one image to provide a relationship between a ground coordinate space and an image coordinate space, the method comprising the steps of:
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obtaining an image having an image coordinate space;
establishing a nominal relationship between the image coordinate space and a ground coordinate space;
fitting a nominal parametric equation having at least one coefficient to the established nominal relationship such that the nominal parametric equation describes the established nominal relationship between the image coordinate space and the ground coordinate space;
developing an adjustment model by combining the fitted nominal equation with a parametric adjustment equation having at least one adjustable coefficient;
measuring GCP ground coordinates and the GCP image coordinates of at least one ground control point (GCP);
forming observation equations using the measured GCP ground coordinates and GCP image coordinates; and
solving for the at least one adjustable coefficient of the developed adjustment model using the formed observation equations and the developed adjustment model. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21)
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22. A method performed on a processor of adjusting a plurality of images to provide a relationship between a ground coordinate space and an image coordinate space, the method comprising the steps of:
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obtaining a plurality of images, each image having an image coordinate space, wherein the images form at least one overlapping portion such that at least one tie point exists in the at least one overlapping portion;
establishing a nominal relationship between the image coordinate space and a ground coordinate space;
fitting a nominal parametric equation having at least one coefficient to the established nominal relationship such that the nominal parametric equation describes the established nominal relationship between the image coordinate space and the ground coordinate space;
developing an adjustment model by combining the fitted nominal equation with a parametric adjustment equation having at least one adjustable coefficient;
measuring TP image coordinates of the at least one tie point;
forming observation equations using the measured TP image coordinates; and
solving for the at least one adjustable coefficient of the developed adjustment model using the observation equations and the developed adjustment model. - View Dependent Claims (23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42)
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43. A computer program product comprising:
a computer usable medium including computer readable code embodied therein for processing data to provide a relationship between an image coordinate space and a ground coordinate space, the computer usable medium comprising;
an image acquiring module configured to acquire at least an image having an image coordinate space;
a relational module configured to establish a nominal relationship between the image coordinate space and a ground coordinate space;
a fitting module configured to fit a nominal parametric equation having at least one coefficient to the established nominal relationship such that the nominal parametric equation describes the established nominal relationship between the image coordinate space and the ground coordinate space;
a development module configured to develop an adjustment model by combining the fitted nominal equation with a parametric adjustment model having at least one adjustable coefficient;
a receiving module configured to receive GCP ground coordinates and GCP image coordinates of at least one ground control point (GCP);
an observation module configured to form observation equations using the received GCP ground coordinates and GCP image coordinates; and
a calculating module configured to solve for the at least one adjustable coefficient of the developed adjustment model using the formed observation equations and the developed adjustment model. - View Dependent Claims (44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63)
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64. A computer program product comprising:
a computer usable medium including computer readable code embodied therein for processing data to provide a relationship between an image coordinate space and a ground coordinate space, the compute usable medium comprising;
an image acquiring module configured to acquire a plurality of images, each image having an image coordinate space, wherein the images form at least one overlapping portion such that at least one tie point exists in the at least one overlapping;
a relational module configured to establish a nominal relationship between the image coordinate space and a ground coordinate space;
a fitting module configured to fit a nominal parametric equation having at least one coefficient to the established nominal relationship such that the nominal parametric equation describes the established nominal relationship between the image coordinate space and the ground coordinate space;
a development module configured to develop an adjustment model by combining the fitted nominal equation with a parametric adjustment model having at least one adjustable coefficient;
a receiving module configured to receive TP image coordinates of the at least one tie point;
an observation module configured to form observation equations using the received TP image coordinates; and
a calculating module configured to solve for the at least one adjustable coefficient of the developed adjustment model using the formed tie point observation equations and the developed adjustment model - View Dependent Claims (65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84)
Specification