In this paper we present geometric algebra as a system for analysing the geometry of multiple-view images. The power of this approach is illustrated by giving purely geometric derivations of the constraints for point and line correspondences in n-views and via a discussion of projective structure.

A coordinate-free version of the approach to mechanical systems with non-ideal restrictions developed by Udwadia (2002) and Udwadia and Kalaba (2002) in a series of articles is introduced. Some of its properties are then reinterpreted in a general geometric setting in terms of orthogonal projections. A geometric view of other aspects of constrained systems, inspired by their insight, is also pr...

This work reviews some current engineering applications of geometric algebra and observes the potential of this mathematical language to become a basis for a wide range of computational engineering applications. Geometric algebra unifies many other mathematical concepts like quaternions and projective geometry and is able to easily deal with geometric objects, operations and transformations. Fo...

Rats trained to relocate a particular corner in a rectangular arena systematically confound the correct corner and the diametrically opposite one--this rotational error demonstrates the use of the geometry of space (i.e., the spatial arrangement of the different components of a visual scene). In many cases, geometric information is preferentially used over other spatial cues, suggesting the pre...

This paper addresses the problem of Structure from Motion (SfM) for indoor panoramic image streams, extremely challenging even for the state-of-the-art due to the lack of textures and minimal parallax. The key idea is the fusion of single-view and multi-view reconstruction techniques via geometric relationship detection (e.g., detecting 2D lines as coplanar in 3D). Rough geometry suffices to pe...

One of the important aims window design is to provide quality views that affect occupant health, well-being, and work performance. We assessed effect geometric variables (i.e., view angles, glazing area (Window-to-Wall Ratio, WWR), distance, viewing direction percentage in visual field (PWV)) had on occupants’ satisfaction access. conducted a human subject experiment with 40 participants using ...