The aim of this work is to exploit mathematical theories in the area of convex geometry to overcome this deficiency. By introducing an algebra for convex bodies, any convex crystal shape can be decomposed into a set of simple shapes called structuring elements. The decomposition is a linear ...
For prismatic shapes, comprising hollow, box-like parts such as sumps (oil pans), the pickup may be made by averaging locations defined on opposite internal or external walls. This is a more lengthy and expensive system of location often tackled by a sensitive probe on the machine tool that...
Finding an informative, structure-preserving map between two shapes has been a long-standing problem in geometry processing, involving a variety of solutio... A Nguyen,M Ben-Chen,K Welnicka,... - 《Computer Graphics Forum》 被引量: 81发表: 2011年 ...
Regardless of influence, crystal habit shapes can be characteristic of the mineral and displayed by many specimens of that mineral from diverse locations. Some examples: Botryoidal: malachite and hematite Banded: rhodochrosite and fluorite Striated: tourmaline and beryl Acicular: rutile, millerite, and...
(B) corresponds to the minimum of the potential curve of thetwo-atomA…B interaction. Crystallographic vdW radii were derived to describe the distances ofclosestapproach betweenpolyatomicmolecules, often of complex shapes, and are 8–20% shorter than the equilibrium radii. Only forinert gases, ...
Think NumPy ndarray, but with compile-time type-checking/inference over shapes, tensor/axis labels & numeric data types MLlib in Apache Spark - Distributed machine learning library in Spark Hydrosphere Mist - a service for deployment Apache Spark MLLib machine learning models as realtime, batch ...
and . More complicated shapes are also possible. In sheet structures, atoms or atomic polyhedrons are linked in two dimensions in infinite nets. This structure is characteristic of micas and mica-like layer silicates. Sheet structures are also encountered in, for example, graphite, molybdenite (MoS...
In three-dimensional space, only 14 unique lattices are possible, known as Bravais lattices. These types account for different unit cell shapes and arrangements, from simple cubes to complex hexagonal structures. Crystal Structure: Two isolated tetrahedra (A & B) need more positive ions for neutral...
The terms lath and plate are based on the shapes of the martensitic crystals: lath or board-shaped for the martensite that forms in low- and medium-carbon steels, and plate-shaped for the martensite that forms in high-carbon steels (1,13–16). However, in addition to the shapes of the...
Crystal morphology is an important point as it has consequences for surface reactivity and interactions with biological molecules. Although controversies have been raised on the crystal morphology of bone apatites, it is accepted that the nanocrystals exhibit irregular plate-like shapes elongated along th...