In the present paper, we study geometry of infinitesimal conformal, affine, projective, and harmonic transformations complete Riemannian manifolds using concepts geometric dynamics methods modern version Bochner technique.

A geometric interpretation is developed for so-called reconciliation methodologies used to forecast time series that adhere known linear constraints. In particular, a general framework established nests many existing popular methods within the class of projections. This facilitates derivation novel theoretical results. First, via projection guaranteed improve accuracy with respect loss function...

Globally optimal formulations of geometric computer vision problems comprise an exciting topic in multiple view geometry. These approaches are unaffected by the quality of a provided initial solution, can directly identify outliers in the given data, and provide a better theoretical understanding of geometric vision problems. The disadvantage of these methods are the substantial computational c...

A central issue in computational geometry is the discrepancy between the idealized geometric view of points and lines with infinite precision, and the realistic computational view that everything is represented by (finitely many) bits. The geometric view is inspired by Euclidean geometric constructions from circa 300 BC. The computational view matches the reality of digital computers as we know...

Typical Structure-from-Motion systems spend major computational effort on geometric verification. Geometric verification recovers the epipolar geometry of two views for a moving camera by estimating a fundamental or essential matrix. The essential matrix describes the relative geometry for two views up to an unknown scale. Two-view triangulation or multi-model estimation approaches can reveal t...

Proponents of a geometric module claim that human adults accomplish spatial reorientation in a fundamentally different way than young children and nonhuman animals do. However, reporting two experiments that used a conflict paradigm, this article shows striking similarities between human adults and young children, as well as nonhuman animals. Specifically, Experiment 1 demonstrates that adults ...

In many of the studies concerning Accelerated life testing (ALT), the log linear function between life and stress which is just a simple re-parameterization of the original parameter of the life distribution is used to obtain the estimates of original parameters but from the statistical point of view, it is preferable to work with the original parameters instead of developing inferences for the...

In this paper an approach is presented to digitize a drawing, to build up geometric and topologic models, to recognise construction parts and to interpret dimension lines and inscriptions. All recognized parts are transformed into a three-dimensional geometric model which provides all necessary geometric information for a product model. The recognition process of construction parts is based on ...

We introduce a new metaphor for learning spatial relations—the 3D puzzle. With this metaphor users learn spatial relations by assembling a geometric model themselves. For this purpose, a 3D model of the subject at hand is enriched with docking positions which allow objects to be connected. Since complex 3D interactions are required to compose 3D objects, sophisticated 3D visualization and inter...