In the field of parametric partial differential equations, shape optimization represents a challenging problem due to required computational resources. this contribution, data-driven framework involving multiple reduction techniques is proposed reduce such burden. Proper orthogonal decomposition (POD) and active subspace genetic algorithm (ASGA) are applied for dimensional original (high fideli...

A coarse outer hull of a mesh is a good tool used in computer graphics to reduce algorithm complexity, especially, in applications such as collision detection or ray-tracing. It is often required that the hull has some very specific parameters concerning its shape and quality since these influence general flexibility and numerical stability of the algorithms. This paper overviews existing probl...

Shape descriptors are used in many computer vision tasks. Convexity is one of the most widely used shape descriptors in practical applications and also one of the most studied in the literature. There are already several defined convexity measures. The most standard one comes from the comparison between a given shape and its convex hull, but there also other approaches. Independently of whether...

2. Hydrodynamic assessment ................................................................................................... 10 2.

ci = 1, and all Pi in Σ. For example, the line segment between two points P and Q is the convex hull of those two points. This is clearly convex. An extremal point of a convex region is a point that does not lie on the interior of a line segment in the region. Any convex region is the convex hull of its extremal points. As was proved in [Weyl:1935], the convex hull of any finite set of points a...

Abstract This paper described the process of generating optimal parametric hull shape with a fully modeling method for three containerships different sizes. The newly created ship was applied to another similar shape, which greatly saved time cost. A selecting design variables developed, and during this process, influence these on calm water resistance analyzed. After we obtained hulls, wave ad...

in this research, chemical composition, gas production characteristics, effective degradability and nutritive value index (nvi) of dm and cp by in situ method of treated walnut hull by nurospora sitophila were studied. three fistulated kermani ram were used for determination of walnut hull degradability. data were analysed using completely randomize design. by processing walnut hull with neuros...

The visual hull relates the shape of an object to its silhouettes. This paper develops the theory of the visual hull of piecewise smooth objects, as those used in CAD applications. We show that the surface of the visual hull can be constructed using patches of nine visual event surfaces of the aspect graph of the object. A detailed analysis allows to prune away many surfaces and patches that ar...

Visual Hull (VH) construction is a popular method of shape estimation. The method, also known as Shape from Silhouette (SFS), approximates shape of an object from multiple silhouette images by constructing an upper bound of the shape called the Visual Hull. SFS is used in many applications such as non-invasive 3D object digitization, 3D object recognition and more recently human motion tracking...

Protein structure comparison is one of the most important problems in Bioinformatics. In this paper, we develop a convex hull expression of a protein and propose a grid method to evaluate similarity between two convex hulls. The purpose of introducing the convex hull expression is to investigate the relationship between the surface shape similarity and the protein function similarity. Extensive...