Firewall - Stretched sheet of spandex as a visual instrument. Kimchi and Chips' blog » Blog Archive » Padé approximant projection mapping. Homography. Geometric motivation[edit] Points A, B, C, D and A', B', C', D' are related by a perspectivity, which is a projective transformation.
In the Euclidean space of dimension 3, a central projection from a point O (the center) onto a plane P which does not contain O is the mapping sending a point A to the intersection (if it exists) of the line OA and the plane P. The projection is not defined if the point A belongs to the plane passing through O and parallel to P. The notion of projective space was originally introduced by extending the Euclidean space, that is, by adding points at infinity to it, in order to define the projection for every point except O.
If f is a perspectivity from P to Q, and g a perspectivity from Q to P, with a different center, then g∘f is a homography from P to itself, which is called a central collineation, when the dimension of P is at least two. Definition and expression in homogeneous coordinates[edit] of Kn+1. . Of a point and the coordinates Given a frame Replacing. Chiragraman/Projection-Mapping-in-Unity-3D. Microsoft Demonstrates “Beamatron” Augmented Reality via Kinect-Projector Duo. As a device that “sees” the world, Microsoft’s Kinect peripheral has been providing a lot of potential methods for delivering augmented reality. In this particular demo, Andy Wilson from Microsoft Research shows off the “Beamatron”—a Kinect attached to a motorized pan-tilt armature affixed to a projector (which he says, “You might find one of these in a night club projecting beams of light.)
The projector is used to display images on the floor (and potentially walls) using the Kinect to determine how to display the projection so that it appears correctly on the projected surface. In this sort of augmented reality, instead of augmenting reality seen through a lens like a computer or a cell phone screen, the Kinect is used to make a model of the reality around itself and then project onto it. Because the projector is in a fixed location in the room (on the ceiling) and the light from the projector can strike at odd angles, it will distort any projection cast onto it.
Kinect-Augmented Reality, as Projection Mapping Meets Depth Sensing (Hint: It’s Awesome) Elliot Woods writes with an extraordinary proof of concept: it couples the depth-sensing capabilities of Microsoft’s Kinect with projection mapping to effectively “scan” a 3D scene. It’s almost Holodeck good, from the looks of the potential here. Kinect hack + projection mapping = augmented reality +hadoukens): Using the kinect camera, we scan a 3D scene in realtime. Using a video projector, we project onto a 3D scene in realtime.By combining these, we can reproject onto geometry to directly overlay image data onto our surroundings which is contextual to their shape and position.As seen in the video, we can create a virtual light source which casts light onto the surrounding surfaces as a real light source would.At Kimchi and Chips we are developing new tools so we can create new experiences today.
We share these new techniques and tools through open source code, installations and workshops. More on the Kimchi and Chips blog You keep sharing, guys. Academic/proj4.pdf. Projects/thesis/thesis_document.pdf. Calib 3D: OpenCV Camera Calibration. Easy "Camera + Projector" Calibration (OF addon) Two Projectors + Camera Calibration.