Some embodiments of the present disclosure provide a content integration system. The content integration system is configured to retrieve a source digital content, retrieve a target digital content, identify a region within the target digital content for placing or integrating the source digital content, and place or integrate the target digital content onto the identified region of the source digital content. The content integration system can be configured to place the source digital content into the target digital content in an aesthetically-pleasing, unobtrusive, engaging, and/or otherwise favorable manner. The content integration system can be particularly useful for advertisements, enhanced expression, entertainment, information, or communication.

Provided is a tangible, non-transitory, machine readable medium storing instructions that when executed by the processor effectuates operations including: capturing visual readings to objects within an environment; capturing readings of wheel rotation; capturing readings of a driving surface; capturing distances to obstacles; determining displacement of the robotic device in two dimensions based on sensor readings of the driving surface; estimating, with the processor, a corrected position of the robotic device to replace a last known position of the robotic device; determining a most feasible element in an ensemble based on the visual readings; and determining a most feasible position of the robotic device as the corrected position based on the most feasible element in the ensemble and the visual readings.

In general, the subject matter described in this disclosure can be embodied in methods, systems, and program products for detecting motion in images. A computing system receives first and second images that were captured by a camera. The computing system generates, using the images, a mathematical transformation that indicates movement of the camera from the first image to the second image. The computing system generates, using the first image and the mathematical transformation, a modified version of the first image that presents the scene that was captured by the first image from a position of the camera when the second image was captured. The computing system determines a portion of the first image or second image at which a position of an object in the scene moved, by comparing the modified version of the first image to the second image.

A method of tracking an eye gaze include obtaining a pre-calibrated speckle map of the eye of the user, determining a starting position of the eye using the pre-calibrated speckle map, and tracking movement of the eye relative to the starting position by: directing a light beam at the eye, detecting a plurality of speckle patterns formed at a detector by a portion of the light beam reflected by the eye, and tracking movement of the eye relative to the starting position by tracking the plurality of speckle patterns from frame to frame.

A method of tracking an eye gaze include obtaining a pre-calibrated speckle map of the eye of the user, determining a starting position of the eye using the pre-calibrated speckle map, and tracking movement of the eye relative to the starting position by: directing a light beam at the eye, detecting a plurality of speckle patterns formed at a detector by a portion of the light beam reflected by the eye, and tracking movement of the eye relative to the starting position by tracking the plurality of speckle patterns from frame to frame.

A system and a method for processing multi-linear image data by measuring a relative oscillatory motion from a first-imaged array of the multi-linear optical array to a second-imaged array of the multi-linear optical array as a first function in time domain via image correlation; transforming the first function from the time domain to a second function in frequency domain; converting real and the imaginary parts of the second function to polar coordinates to generate a magnitude and a phase; correcting the polar coordinates from the second function in the frequency domain to generate a third function; converting the third function to rectangular coordinates to generate a fourth function in the frequency domain; and transforming the fourth function from the frequency domain to a fifth function in the time domain.

A system and a method for processing multi-linear image data by measuring a relative oscillatory motion from a first-imaged array of the multi-linear optical array to a second-imaged array of the multi-linear optical array as a first function in time domain via image correlation; transforming the first function from the time domain to a second function in frequency domain; converting real and the imaginary parts of the second function to polar coordinates to generate a magnitude and a phase; correcting the polar coordinates from the second function in the frequency domain to generate a third function; converting the third function to rectangular coordinates to generate a fourth function in the frequency domain; and transforming the fourth function from the frequency domain to a fifth function in the time domain.

In one embodiment, a method of amplifying temporal variation in at least two images comprises examining pixel values of the at least two images. The temporal variation of the pixel values between the at least two images can be below a particular threshold. The method can further include applying signal processing to the pixel values.

In one embodiment, a method of amplifying temporal variation in at least two images comprises examining pixel values of the at least two images. The temporal variation of the pixel values between the at least two images can be below a particular threshold. The method can further include applying signal processing to the pixel values.

A method of providing a medical image of a region of interest (ROI) of a patient, the method comprising: acquiring a time ordered sequence of measurements of radiation used to provide the medical image; generating a Fourier transform of the time ordered sequence or a function thereof; using the Fourier transform to determine which of the frequencies characterize real motion of tissue in the ROI and which characterize noise; generating a corrected Fourier transform that is exclusive of frequencies that characterize noise; and providing a medical image of the ROI using the corrected Fourier transform.