Method and system for calibrating a source and detector instrument

A system for obtaining coordinate data of a source and detector instrument, the system comprising:

• a marker assembly having a plurality of markers with a particular three dimensional geometry, wherein the plurality of markers describe a first circle and a second circle that are parallel and lie on a cylinder;
• an energy source for targeting the plurality of markers with energy packets;
• a detector for detecting energy packets after the plurality of markers have interacted therewith;
• an image device for forming image data of the plurality of markers from the energy packets detected by the detector, the image data associated with a single view of the plurality of markers, wherein the image data correspond to a first ellipse associated with a first projection of the first circle onto the detector and a second ellipse associated with a second projection of the second circle onto the detector;
• a calibration module including at least one equation, for non-iteratively determining, from the particular geometry of the plurality of markers and the image data, in a world coordinate system, coordinate data that includes a pitch of the detector, when coordinate data for the detector is obtained, wherein the calibration module comprises:
• a projection module for obtaining first ellipse parameters that describe the first ellipse and second ellipse parameters that describe the second ellipse;
• and a marker assembly module for obtaining geometric parameters of the marker assembly, the calibration module determining the coordinate data from the first ellipse parameters, the second ellipse parameters and the geometric parameters of the marker assembly;
• wherein the calibration module further comprises:
• an intersection module for determining a location of an intersection point where lines connecting points on the first ellipse to opposite points on the second ellipse intersect;
• and
• a scale module for obtaining a scale factor corresponding to the image data, wherein the calibration module determines the coordinate data from the first ellipse parameters, the second ellipse parameters, the geometric parameters of the marker assembly, the intersection point and the scale factor.

A method of determining coordinate data of a source and detector instrument, the method comprising:

• providing a marker assembly having a plurality of markers with a particular three dimensional geometry, wherein the plurality of markers describe a first circle and a second circle that are parallel and lie on a cylinder;
• concurrently disposing a target and the plurality of markers within a targeting region;
• bombarding the target and the marker assembly in the targeting region with energy packets from at least one energy source;
• forming image data of the plurality of markers with a detector, the image data corresponding to a first ellipse associated with a first projection of the first circle onto the detector and a second ellipse associated with a second projection of the second circle onto the detector;
• and
• non-iteratively determining coordinate data in a world coordinate system of at least one of the detector and the energy source using the particular geometry of the plurality of markers and the image data, including obtaining first ellipse parameters that describe the first ellipse and second ellipse parameters that describe the second ellipse, wherein the plurality of markers describe a first circle and a second circle that are parallel and lie on a cylinder, wherein the step of determining coordinate data includes using the first ellipse parameters, the second ellipse parameters and the geometric parameters of the marker assembly to obtain the coordinate data;
• determining an intersection point where lines connecting points on the first ellipse to opposite points on the second ellipse intersect;
• obtaining a scale factor corresponding to the image data;
• providing a detector plane connecting pairs of the markers with parallel lines, and constructing divergent planes each containing the energy source and one of the parallel lines connecting the pairs of markers, the divergent planes and the detector plane intersecting at a convergent point;
• determining at least one convergent point from the first and second ellipse parameters and the geometric parameters of the marker assembly;
• and
• determining the coordinate data from two or more of the first ellipse parameters, the second ellipse parameters, the geometric parameters of the marker assembly, the scale factor, and at least one convergent point;
• wherein the method includes determining a center of each of the first and second circles of markers, a piercing point being a point centrally located between the first and second circles and markers and through which lines pass that each connect a marker on the first circle with a marker on the second circle and/or lines extending parallel to an axis extending through the centers of the first and second circles and through a marker on the first circle and a marker on the second circle.

A system for obtaining coordinate data of a source and detector instrument, the system comprising:

• a marker assembly having a plurality of markers with a particular three dimensional geometry;
• a set of energy sources containing at least one member for bombarding the plurality of markers with energy;
• a set of detectors containing at least one member, wherein energy emitted from any one member of the set of energy sources may be detected by at least one member of the set of detectors;
• at least one image device for forming image data of the plurality of markers from energy detected by the set of detectors;
• and
• a calibration module including at least one equation, for non-iteratively determining, from the particular geometry of the plurality of markers and the image data to determine, in a world coordinate system, coordinate data of at least one of the set of energy sources and the set of detectors, wherein at least one of the number of members of the set of energy sources and the number of members of the set of detectors is greater than one;
• wherein the number of members of the set of detectors is greater than one, and wherein the coordinate data include coordinates of the members of the set of detectors with respect to at least one common reference frame, the calibration module cross-calibrating the members of the set of detectors using the coordinates.