Factorization with Uncertainty and Missing Data: Exploiting Temporal Coherence

Neural Information Processing Systems

The problem of "Structure From Motion" is a central problem in vision: given the 2D locations of certain points we wish to recover the camera motion and the 3D coordinates of the points. Under simplifiedcamera models, the problem reduces to factorizing a measurement matrix into the product of two low rank matrices. Each element of the measurement matrix contains the position of a point in a particular image. When all elements are observed, the problem can be solved trivially using SVD, but in any realistic situation manyelements of the matrix are missing and the ones that are observed have a different directional uncertainty. Under these conditions, most existing factorization algorithms fail while human perception is relatively unchanged. In this paper we use the well known EM algorithm for factor analysis toperform factorization. This allows us to easily handle missing data and measurement uncertainty and more importantly allows us to place a prior on the temporal trajectory of the latent variables (the camera position). We show that incorporating this prior gives a significant improvement in performance in challenging image sequences.

Inpixon Announces Adding Video Camera Data Feed into Indoor Positioning Analytics


Sensor fusion is the use of sensory data from multiple sources, combined into one comprehensive result for more accurate, complete, and dependable, business intelligence and security applications. "IoT devices, security cameras and other data capture sensors are practically everywhere," said Nadir Ali, CEO of Inpixon. "The challenge is to filter the information captured by those devices, so it can be processed and analyzed in a meaningful way. Inpixon has extensive experience in radio frequency data fusion, which we believe we can leverage due to the similarities between radio waves and the light waves captured by CCTV cameras. "Location is the lynchpin," continued Mr. Ali. "To know what's going on in your building -- for security purposes, for sales or customer service purposes, or for applications like location-based marketing or augmented reality -- you must know the location of persons and electronic devices in your space.

Follow your favorite local sports teams with Apple's latest TV update


Its venerable phone line wasn't the only newly minted product Apple showed off at the iPhone 8 event on Tuesday. Eddie Cue announced onstage that the company will expand availability of its TV app to seven new countries by the end of the year and will be adding local news and sports programming as well. The TV app will be available in Australia and Canada next month, the spread to Germany, France, Sweden, Norway and the UK by the end of the year. US sports fans (that is, those that live in the country), will be able to track their favorite teams and have Apple TV push an on-screen notification whenever a game starts. By the end of the year, Apple also announced that users will be able to ask Siri directly to switch to a game.