Abstract: Mesh model processing techniques and innovations are described herein. A mesh processing method may include determining, on the basis of a positional relationship between a first vector on a first mesh model and at least one first spline, at least one target value corresponding to the first corner; determining the at least one target value corresponding to the first corner to be at least one respective target value corresponding to the second corner; determining a vertex coordinate of a second vertex on the basis of the at least one target value corresponding to the second corner; and determining a second mesh model at the second corner on the basis of the vertex coordinate of the second vertex.

Abstract: A magnesium-based solid, by means of determination based on a nitrogen adsorption method, has a multimodal pore distribution and a specific surface area of not less than 50 m2/g, and the pore size distribution of the solid is in a range of 1 nm to 300 nm. There is at least one peak within a pore size range of less than 10 nm, and there is at least another peak within a pore size range of not less than 10 nm. A catalyst is formed using the solid catalyst component is used for propylene polymerization.

Abstract: The present disclosure provides catalysts for olefin polymerization comprising titanium, silicon, magnesium, phosphorus, at least one internal electron donor compound, and at least one halogen, processes for preparing the catalysts for olefin polymerization, and processes for olefin polymerization using the catalysts for olefin polymerization.

Abstract: The present disclosure provides catalysts for olefin polymerization comprising titanium, silicon, magnesium, phosphorus, at least one internal electron donor compound, and at least one halogen, processes for preparing the catalysts for olefin polymerization, and processes for olefin polymerization using the catalysts for olefin polymerization.

Abstract: The invention relates to a catalyst component for olefin (co)polymerization, to preparation thereof, to a catalyst comprising the same, and to use thereof in olefin (co)polymerization. The catalyst component of the invention comprises magnesium, titanium, halogen, inner electron donor compound, and alkoxy group derived from a surface modifier, wherein the content of the alkoxy group derived from the surface modifier is in a range of from 0.01 to 3 percent by weight, based on the weight of the catalyst component.

Abstract: The invention relates to a catalyst component for olefin (co)polymerization, to preparation thereof, to a catalyst comprising the same, and to use thereof in olefin (co)polymerization. The catalyst component of the invention comprises magnesium, titanium, halogen, inner electron donor compound, and alkoxy group derived from a surface modifier, wherein the content of the alkoxy group derived from the surface modifier is in a range of from 0.01 to 3 percent by weight, based on the weight of the catalyst component.

Abstract: The present invention provides a catalyst component used for homopolymerization or co-polymerization of ethylene, comprising at least one suitable electron donor compound supported on a composition containing magnesium and titanium, wherein the electron donor compound is selected from the group consisting of aliphatic ethers, alicyclic ethers, aromatic ethers, aliphatic ketones and alicyclic ketones, and wherein the composition containing magnesium and titanium is prepared by dissolving a magnesium compound into a solvent system to form a homogeneous solution and then contacting the solution with a titanium compound in the presence of a precipitation aid to precipitate the composition. The present invention also relates to a method for the preparation of said catalyst component and a catalyst comprising thereof, and to use of the catalyst in homopolymerization of ethylene or co-polymerization of ethylene with at least one C3–C8 ?-olefin.

Abstract: The present invention provides a catalyst component used for homopolymerization or co-polymerization of ethylene, comprising at least one suitable electron donor compound supported on a composition containing magnesium and titanium, wherein the electron donor compound is selected from the group consisting of aliphatic ethers, alicyclic ethers, aromatic ethers, aliphatic ketones and alicyclic ketones, and wherein the composition containing magnesium and titanium is prepared by dissolving a magnesium compound into a solvent system to form a homogeneous solution and then contacting the solution with a titanium compound in the presence of a precipitation aid to precipitate the composition. The present invention also relates to a method for the preparation of said catalyst component and a catalyst comprising thereof, and to use of the catalyst in homopolymerization of ethylene or co-polymerization of ethylene with at least one C3-C8 &agr;-olefln.