Abstract: An elliptical, optical-tracking marker comprises an inner marker body that is filled with radially spread color spectrum points with respect to a center point of the inner marker body. A color value of each spectrum point of the inner marker body is calculated as a function of an angle defined between a horizontal line crossing the central point of the inner marker body and a line crossing the central point of the inner marker as well as the given pixel in such a manner, that the color values of the respective spectrum points vary in accordance with a sinusoidal pattern along an elliptical path around the center point, in particular along a circular path centered around the center point. A method and a system for determining a 3D position of an object in space use the characteristics of this marker by detecting and analyzing the sinusoidal pattern.

Abstract: A method and a system for determining a 6-DOF-pose of an object in space use an optical-tracking marker attached to the object. The marker comprises an inner marker area having a circular contour with a known radius and a marker pattern defining at least one characteristic marker feature. A camera image of the marker typically shows an elliptical representation of the circular contour and the marker pattern. Based on the image, parameters describing the elliptical representation are determined and the 6-DOF-pose of the marker in space is derived using the parameters.

Abstract: An elliptical, optical-tracking marker comprises an inner marker body that is filled with radially spread color spectrum points with respect to a center point of the inner marker body. A color value of each spectrum point of the inner marker body is calculated as a function of an angle defined between a horizontal line crossing the central point of the inner marker body and a line crossing the central point of the inner marker as well as the given pixel in such a manner, that the color values of the respective spectrum points vary in accordance with a sinusoidal pattern along an elliptical path around the center point, in particular along a circular path centered around the center point. A method and a system for determining a 3D position of an object in space use the characteristics of this marker by detecting and analyzing the sinusoidal pattern.