Existing theories on shape digitization impose strong constraints on feasible shapes and require error-free measurements. We use Delaunay triangulation and α-shapes to prove that topologically correct segmentations can be obtained under much more realistic conditions. Our key assumption is that sampling points represent object boundaries with a certain maximum error. Experiments on real and gen...

In this paper we address interactive shape modelling of geometric shapes defined by mathematical functions. We introduce mathematical operators that implement modifications of geometry and appearance of the shapes. Any of the operators involved in creating the shape can be edited, modified or removed at any time, thus allowing for a great flexibility of the modelling pipeline and opening prospe...

We present a novel shape reconstruction technique for 3D low frequency electromagnetic induction tomography which uses a level set representation of the shapes. An efficient adjoint scheme for calculating gradient directions corresponding to the data of each individual probing source is combined with a single-step technique for finding iterative corrections of the latest best guess of the level...

Abstract Background Realistic visualizations have been associated with benefits in retention performance, but also disadvantages transfer tasks. details are considered to be helpful for the initial learning of content, not generalization other domains and Objectives The contradictory nature previous evidence needed tested a situation which both concrete surfaces as well different shapes is nece...

The demand for lithium ion batteries (LIBs) in the market has gradually risen, with production increasing and expected to be boosted through massive emergence of gigafactories. To meet industrial needs, development digital twins designed accelerate optimization LIB manufacturing processes is essential. We report here a new three-dimensional physics-based modeling workflow able predict influence...

The applicability of RTDF is extended to particles with curved surfaces. This allows tests against T-matrix calculations for larger size parameter and modeling of light scattering by more realistic particle shapes, such as ice crystals with rounded edges.

Cell migration is a complex process involving many intracellular and extracellular factors, with different cell types adopting sometimes strikingly different morphologies. Modeling realistically behaving cells in tissues is computationally challenging because it implies dealing with multiple levels of complexity. We extend the Cellular Potts Model with an actin-inspired feedback mechanism that ...

During submonolayer homoepitaxy, instability in the shapes of growing two-dimensional islands can develop due to the diffusion-limited aggregation of deposited adatoms at their edges. However, in metal (100) systems, periphery diffusion is typically efficient, quenching this shape instability, and resulting in simple near-square or near-rectangular shapes of isolated islands. Despite this featu...