Abstract: Methods and apparatus for predicting the quantum state, including the dynamics of such quantum state in so far as it represents subjects in a community of subjects to be addressed by marketing tools. In the quantum representation adopted herein the internal states of all subjects are assigned to quantum subject states defined with respect to an underlying proposition about an item that can be instantiated by an object, a subject, an experience, a product or a service. Contextualization of the proposition about the item is identified with a basis (eigen-basis of a spectral decomposition) referred to herein as the social value context. The invention teaches methods to identify one or more populations of subjects amongst the community of subjects, who will respond in a certain way, modulo an underlying proposition about an item of interest. This determination is based on the quantum mechanical probabilities correspondent to the state vectors representing the quantum states of the community subjects.

Abstract: The present invention relates to interfaces and methods for producing input for software applications based on the absolute pose of an item manipulated or worn by a user in a three-dimensional environment. Absolute pose in the sense of the present invention means both the position and the orientation of the item as described in a stable frame defined in that three-dimensional environment. The invention describes how to recover the absolute pose with optical hardware and methods, and how to map at least one of the recovered absolute pose parameters to the three translational and three rotational degrees of freedom available to the item to generate useful input. The applications that can most benefit from the interfaces and methods of the invention involve 3D virtual spaces including augmented reality and mixed reality environments.

Abstract: A reduced homography H for an optical apparatus to recover pose parameters from imaged space points Pi using an optical sensor. The electromagnetic radiation from the space points Pi is recorded on the optical sensor at measured image coordinates. A structural uncertainty introduced in the measured image points is determined and a reduced representation of the measured image points is selected based on the type of structural uncertainty. The reduced representation includes rays {circumflex over (r)}i defined in homogeneous coordinates and contained in a projective plane of the optical apparatus. At least one pose parameter of the optical apparatus is then estimated by applying the reduced homography H and by applying a condition on the motion of the optical apparatus, the condition being consonant with the reduced representation employed in the reduced homography H.

Abstract: A reduced homography H for an optical apparatus to recover pose parameters from imaged space points Pi using an optical sensor. The electromagnetic radiation from the space points Pi is recorded on the optical sensor at measured image coordinates. A structural uncertainty introduced in the measured image points is determined and a reduced representation of the measured image points is selected based on the type of structural uncertainty. The reduced representation includes rays {circumflex over (r)}i defined in homogeneous coordinates and contained in a projective plane of the optical apparatus. At least one pose parameter of the optical apparatus is then estimated by applying the reduced homography H and by applying a condition on the motion of the optical apparatus, the condition being consonant with the reduced representation employed in the reduced homography H.

Abstract: A method of tracking a conditioned motion with an optical sensor that images a plurality of space points. The method includes a) recording electromagnetic radiation from the space points on the optical sensor at measured image coordinates of measured image points, b) determining a structural redundancy in the measured image points due to the conditioned motion, and c) employing a reduced representation of the measured image points by a plurality of rays defined in homogeneous coordinates and contained in a projective plane of the optical sensor consonant with the conditioned motion for the tracking.

Abstract: A wearable article, such as glasses for a virtual reality program or glasses for an augmented reality application, using light sources and a photodetector that detects their light and outputs data indicative of the detected light. The wearable article uses one or more controllers to determine its position and/or orientation in the environment based on the data output by the photodetector. Data from one or more auxiliary motion sensing devices, e.g., a relative motion sensor such as an inertial device or other auxiliary motion device relying on acoustics, optics or electromagnetic waves within or outside the visible spectrum, can be used to supplement the position and/or orientation data from the photodetector.

Abstract: The present invention concerns methods and apparatus for determining the effects of a mutual interdependence or entanglement in pairs of subjects that jointly contextualize a proposition and are considered in a quantum representation. The subject pairs are selected based on contextualizations and measurable indications they exhibit modulo the proposition. Once selected, they are jointly exposed or confronted by the proposition such that both are aware that they are facing the proposition together and in accordance with certain additional rules that lead to the formation of joint subject states that are entangled. Quantum representation of entanglement between both F-D anti-consensus subjects and B-E consensus type subjects is achieved in accordance with the four canonical equations and consequent violation of the Bell inequality is encoded in subject interdependence thus established.

Abstract: A reduced homography H for an optical apparatus to recover pose parameters from imaged space points Pi using an optical sensor. The electromagnetic radiation from the space points Pi is recorded on the optical sensor at measured image coordinates. A structural uncertainty introduced in the measured image points is determined and a reduced representation of the measured image points is selected based on the type of structural uncertainty. The reduced representation includes rays {circumflex over (r)}i defined in homogeneous coordinates and contained in a projective plane of the optical apparatus. At least one pose parameter of the optical apparatus is then estimated by applying the reduced homography H and by applying a condition on the motion of the optical apparatus, the condition being consonant with the reduced representation employed in the reduced homography H.

Abstract: The present invention concerns methods and apparatus for determining when it is appropriate to apply a quantum representation to contextualizations of propositions about items as experienced by test subjects. The methods and apparatus also indicate when classical representations are appropriate and under what conditions views of the observed effects or measurable indications are to be modified. Renormalization-related ordering of test subjects along a real scale parameter W and their confinement to a range ?W of scale values Wi within which the quantum representation can be presumed to be within a range of validity are introduced. The ordering and other renormalization-inspired concepts are used to define important parameters of the representations including first and second-order phase transitions to enhance the application of quantum or classical representations and/or views to be presented to an observer.

Abstract: A system with a remote control or wand equipped with a relative motion sensor that outputs data indicative of a change in position. The system has one or more light sources and a photodetector that detects their light and outputs data indicative of the detected light. One or more controllers are used to determine the absolute position of the wand based on the data output by the relative motion sensor and by the photodetector. The wand's absolute pose is determined from the data and includes the absolute position of a reference point on the wand and the wand's absolute orientation. A display is used to show an image defined by two orthogonal axes, e.g., those of world coordinates (Xo,Yo,Zo). The display is rendered as a function of absolute position of the wand in or along a third orthogonal axis.

Abstract: The present invention is directed to methods and apparatus for predicting the quantum state, including the dynamics of such quantum state in so far as it represents a subject embedded in a community of community subjects. In the quantum representation adopted herein the internal states of all subjects are assigned to quantum subject states defined with respect to an underlying proposition about an item that can be instantiated by an object, a subject or by an experience. Contextualization of the proposition about the item is identified with a basis (eigenbasis of a spectral decomposition) referred to herein as the social value context. The dynamics are obtained from quantum interactions on a graph onto which the quantum states of all the subjects are mapped by a surjective mapping dictated by subject interconnections and subject-related data, including the social graph and information derived from “big data”.

Abstract: The present invention presents methods and apparatus for predicting a joint quantum state of subjects, such as human beings, modulo an underlying proposition that revolves about an object, a subject or an experience while deploying a quantum representation of the situation. The joint quantum state is built from a transmit subject qubit |Tx assigned to a transmitting subject that broadcasts a measurable indication and also a receive subject qubit |Rx that is assigned to a receiving subject that is capable of receiving the measurable indication. The subjects share a common internal space represented by a Hilbert space (TR). The joint quantum states admit of representation by symmetric and anti-symmetric wave functions depending on the quantum statistics (Bose-Einstein or Fermi-Dirac) corresponding to consensus and anti-consensus forming types exhibited by the qubits when considered modulo the proposition.

Abstract: The present invention is an apparatus and method for predicting the reactions of a subject, e.g., a human being to a proposition posed to the subject during a subject-object or a subject-subject interaction that takes place online or in real life. The quantum mechanical model adopted herein assigns a first subject qubit |iss1> to a primary internal state of the subject with eigenvalues corresponding to measurable indications a, b of the primary internal state. A response qubit |rsp> that can yield at least two mutually exclusive responses corresponding to two eigenvalues is also assigned to the subject. A proposition matrix PR in the form of a linear operator designed to act on response qubit |rsp> is assigned to enable a quantum mechanical derivation of response probabilities and expectation values for response to the same underlying proposition in various contexts, including incompatible contexts in the Heisenberg sense.

Abstract: A system that has a remote control, e.g., a wand, equipped with a relative motion sensor that outputs data indicative of a change in position of the wand. The system also has one or more light sources and a photodetector that detects their light and outputs data indicative of the detected light. The system uses one or more controllers to determine the absolute position of the wand based on the data output by the relative motion sensor and by the photodetector. The data enables determination of the absolute pose of the wand, which includes the absolute position of a reference point chosen on the wand and the absolute orientation of the wand. To properly express the absolute parameters of position and/or orientation of the wand a reference location is chosen with respect to which the calculations are performed. The system is coupled to a display that shows an image defined by a first and second orthogonal axes such as two axes belonging to world coordinates (Xo,Yo,Zo).

Abstract: The present invention relates to interfaces and methods for producing input for software applications based on the absolute pose of an item manipulated or worn by a user in a three-dimensional environment. Absolute pose in the sense of the present invention means both the position and the orientation of the item as described in a stable frame defined in that three-dimensional environment. The invention describes how to recover the absolute pose with optical hardware and methods, and how to map at least one of the recovered absolute pose parameters to the three translational and three rotational degrees of freedom available to the item to generate useful input. The applications that can most benefit from the interfaces and methods of the invention involve 3D virtual spaces including augmented reality and mixed reality environments.

Abstract: A system that has a remote control, e.g., a wand, equipped with a relative motion sensor that outputs data indicative of a change in position of the wand. The system also has one or more light sources and a photodetector that detects their light and outputs data indicative of the detected light. The system uses one or more controllers to determine the absolute position of the wand based on the data output by the relative motion sensor and by the photodetector. The data enables determination of the absolute pose of the wand, which includes the absolute position of a reference point chosen on the wand and the absolute orientation of the wand. To properly express the absolute parameters of position and/or orientation of the wand a reference location is chosen with respect to which the calculations are performed. The system is coupled to a display that shows an image defined by a first and second orthogonal axes such as two axes belonging to world coordinates (Xo,Yo,Zo).

Abstract: A system that has a remote control, e.g., a wand, equipped with a relative motion sensor that outputs data indicative of a change in position of the wand. The system also has one or more light sources and a photodetector that detects their light and outputs data indicative of the detected light. The system uses one or more controllers to determine the absolute position of the wand based on the data output by the relative motion sensor and by the photodetector. The data enables determination of the absolute pose of the wand, which includes the absolute position of a reference point chosen on the wand and the absolute orientation of the wand. To properly express the absolute parameters of position and/or orientation of the wand a reference location is chosen with respect to which the calculations are performed. The system is coupled to a display that shows an image defined by a first and second orthogonal axes such as two axes belonging to world coordinates (Xo,Yo,Zo).

Abstract: An apparatus and method for optically inferring an absolute pose of a manipulated object in a real three-dimensional environment from on-board the object with the aid of an on-board optical measuring arrangement. At least one invariant feature located in the environment is used by the arrangement for inferring the absolute pose. The inferred absolute pose is expressed with absolute pose data (?, ?, ?, x, y, z) that represents Euler rotated object coordinates expressed in world coordinates (Xo, Yo, Zo) with respect to a reference location, such as, for example, the world origin. Other conventions for expressing absolute pose data in three-dimensional space and representing all six degrees of freedom (three translational degrees of freedom and three rotational degrees of freedom) are also supported. Irrespective of format, a processor prepares the absolute pose data and identifies a subset that may contain all or fewer than all absolute pose parameters.

Abstract: The present invention relates to an optical navigation system for determining a pose, which includes the position and orientation of an object in an environment. The optical navigation system uses a number of beacons affixed at known locations in the environment to provide electromagnetic radiation in a sequenced pattern. An on-board optic images the radiation from the beacons onto an on-board centroid sensing device to obtain an imaged distribution of the radiation on the on-board centroid sensing device. The centroid sensing device determines the centroid of the imaged distribution and provides centroid information to a navigation unit for determining the pose of the object from the centroid. The navigation system is particularly well-suited for navigating hand-held objects.

Abstract: A system that has a remote control, e.g., a wand, equipped with a relative motion sensor that outputs data indicative of a change in position of the wand. The system also has one or more light sources and a photodetector that detects their light and outputs data indicative of the detected light. The system uses one or more controllers to determine the absolute position of the wand based on the data output by the relative motion sensor and by the photodetector. The data enables determination of the absolute pose of the wand, which includes the absolute position of a reference point chosen on the wand and the absolute orientation of the wand. To properly express the absolute parameters of position and/or orientation of the wand a reference location is chosen with respect to which the calculations are performed. The system is coupled to a display that shows an image defined by a first and second orthogonal axes such as two axes belonging to world coordinates (Xo,Yo,Zo).