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The purpose of this paper is to study the relations between quasiregular mappings on Riemannian manifolds and differential forms. Four classes of differential forms are introduced and it is shown that some differential expressions connected in a natural way to quasiregular mappings are members in these classes.
(a) (b) (c) (d) (e) Figure 1: Surface painting on Nebula NGC-6302. (a) source volume, (b) adaptive drawing surface with filter kernel size ks=1, (c) adding a pink filament that follows the local density distribution, (d) detail before editing, (e) detail after editing. Abstract Many fields of science such as astronomy and astrophysics require the… (More)
Synopsis The laboratory case study to be reported in this paper has been initiated by shipyard industry. Shipbuilding requires a large number of welding seems to be carried out by a relatively small number of cooperating automated robots. In the regular operation mode each robot is working with the same velocity. However, real world disturbances will cause… (More)
With the help of Structure from Motion (SfM) algorithms the camera motion and a rough estimates of the scene geometry can be estimated from a video recording. Such approaches are an integral part of state-of-the-art commercial software. Recently, affordable depth sensors have become available on the consumer market, which estimate the spatial depth for each… (More)