A UNIVERSAL PROJECTION LANTERN

Universal Mosaicing using Pipe Projection

Video mosaicing is commonly used to increase the visual eld of view by pasting together many video frames. Existing mosaicing methods are e ective only in very limited cases where the image motion is almost a uniform translation or the camera performs a pure pan. Forward camera motion or camera zoom are very problematic for traditional mosaicing. A mosaicing methodology to allow image mosaicing...

A lantern lemma

We show that in the mapping class group of a surface any relation between Dehn twists of the form T j xT k y = M (M a multitwist) is the lantern relation, and any relation of the form (TxTy) k = M (where Tx commutes with M ) is the 2-chain relation. AMS Classification 57M07; 20F38, 57N05

A Magic Lantern Data Projector

The Magic Lantern Data Projector allows a performer-participant to build sculptural glass forms that are projected, then algorithmically processed. The device re-envisions magic lantern slides as transparent, multifaceted three-dimensional glass boxes. The projected image is a palimpsest of coloured transparent glass forms (Figure 1). Servomotors position the boxes in front of a camera lens, wh...

Mani and shapur a universal faith for e universal kingdom

Applications of the Lantern Identity

The purpose of this note is to unify the role of the lantern identity in the proof of several finiteness theorems. In particular, we show that for every nonnegative integer m, the vector space (over the rationals) of type m (resp. T -type m) invariants of integral homology 3-spheres are finite dimensional. These results have already been obtained by [Oh] and [GL2] respectively; our derivation h...