Shadows serve as e ective cues for a user to recognize spatial relations among objects in 3D space. However simple shadows typically used in 3D interfaces are often insu cient for the purpose, and rendering of shadows with real penumbra are not only too costly for interactive interfaces, but also do not enhance their capabilities as spatial cues. Our proposal, layered penumbra is a new interact...

A reprogrammable logic or interconnect architecture termed non-orthogonal decoding' is described, which increases routability with no additional circuitry and negligible added layout area, compared to an existing reprogrammable routing architecture, the orthogonal decoding architecture introduced by Aptix. An orthogonal decoding architecture's routing channel box is modified to illustrate non-o...

Shadows serve as e ective cues for a user to recognize spatial relations among objects in 3D space. However simple shadows typically used in 3D interfaces are often insu cient for the purpose, and rendering of shadows with real penumbra are not only too costly for interactive interfaces, but also do not enhance their capabilities as spatial cues. Our proposal, layered penumbra is a new interact...