We continue the development of a linear algebraic framework for the shape-from-shading problem, exploiting the manner in which tensors arise when scalar (e.g. image) and vector (e.g. surface normal) fields are differentiated multiple times. In this paper we apply that framework to develop Taylor expansions of the normal field and build a boot-strapping algorithm to find these polynomial surface...

We consider the problem of reconstructing a 3-D scene from a moving camera with high frame rate using the affine projection model. This problem is traditionally known as Affine Structure from Motion (Affine SfM), and can be solved using an elegant low-rank factorization formulation. In this paper, we assume that an accelerometer and gyro are rigidly mounted with the camera, so that synchronized...

Traditionally, hand-eye calibration has been done using point correspondences, reducing the problem to a matrix equation. This approach requires reliably detected and tracked points between images taken from fairly widespread locations. In this paper we present a completely new approach to performing hand-eye calibration. The novelty of the proposed method lies in the fact that instead of point...

Image reconstruction from a fiducial collection of scale space interest points and attributes (e.g. in terms of image derivatives) can be used to make the amount of information contained in them explicit. Previous work by various authors includes both linear and non-linear image reconstruction schemes. In this paper, the authors present new results on image reconstruction using a top point repr...

The freezing of the cooperative reorientational motions in orientationally disordered (OD) molecular crystals marks the so-called “glassy” transition, which may be considered a lower-dimensional version of the structural glass transition. While structural glasses display both positional and orientational disorder, in fact, in orientational glasses the disorder involves exclusively the orientati...

A family of structurally related LOX enzymes present in human cells which catalyse the metabolism of released arachidonic acid from phospholipids by inflammatory stimuli, to biologically active mediators. Mainly, expression of three types of LOXs occurs in cells, which catalyse the insertion of molecular oxygen into the molecule of arachidonic acid at carbon 5, 12, and 15. According to this che...

Gaussian scale space permits one to compute image derivatives. The limitation to some finite order is not inherent in the paradigm itself (Gaussian blurred functions are always smooth), but is caused by the interplay of (at least) two external factors. One is the ratio of the Gaussian scale parameter versus the atomic scale that limits physically or perceptually meaningful sizes (e.g. pixel siz...