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56 results about "Warping function" patented technology

The warping function modifies picture geometry so that it matches the curve of the projection surface. The elastic torsion of a bar can be described also in formulation of warping function. The function f is called the warping function of the warped product [8].

Asymptotic variational method-based method for simulating and optimizing composite material laminated plate

InactiveCN102096736AIncreased buckling critical loadHigh speedSpecial data processing applicationsTensor decompositionEngineering
The invention relates to an asymptotic variational method-based method for simulating and optimizing a composite material laminated plate, which belongs to the field of analysis of material mechanics. The method specifically comprises the following steps of: constructing a three-dimensional plate energy equation represented by a one-dimensional generalized strain and warping function on the basisof a rotation tensor decomposition concept; strictly splitting the original three-dimensional problem analysis into nonlinear two-dimensional plate analysis and cross-section analysis along a thickness direction on the basis of an asymptotic variational method; asymptotically correcting an approximate energy functional of a reduced-order model to a second order by using the inherent small parameter of the plate and converting the approximate energy functional into the form of Reissner model for practical application through an equilibrium equation; accurately reconstructing a three-dimensional stress/strain/displacement field by using an obtained global response asymptotic correction warping function; and optimizing the composite material laminated plate by using an optimization strategy of bending and torsion rigidity coefficients obtained by maximization cross-section analysis. The method has high practicability and high generality, and the resolving speed and efficiency of this type of problems can be remarkably increased.
Owner:CHONGQING UNIV

Analogue simulation method for electromagnetic elastic coupling of layering shell made of electromagnetic materials

InactiveCN103886165AHigh accuracy of 3D field distributionSmall amount of calculationSpecial data processing applicationsComputer resourcesExtension principle
The invention provides an analogue simulation method for electromagnetic elastic coupling of a layering shell made of electromagnetic materials. A three-dimensional energy equation including the electricity-magnetism-elastic coupling effect is established based on the Hamilton extension principle; three-dimensional energy is asymptotically extended into serial two-dimensional recursion energy based on the variation asymptotic method, a leading variation item in the two-dimensional recursion energy is corrected asymptotically through inherent small parameters of the shell, and therefore a correction model close to the original three-dimensional energy as much as possible is obtained and is converted into the Reissner-Mindlin model form commonly used in the engineering; a three-dimensional variation reconstruction relation is inferred based on the obtained two-dimensional overall response and all levels of warping functions. The apriority hypothesis is not needed in the model, the structural electromagnetic elastic coupling performance under the function of various fields can be accurately predicted, the calculated amount is small, calculating efficiency is higher than that of the high-order set theory and the three-dimensional finite element solution, and the number of resources occupied in a computer is small.
Owner:CHONGQING UNIV

Eye makeup mapping method based on mesh deformation

The invention discloses an eye makeup mapping method based on mesh deformation. The method comprises a step of acquiring a standard face image and a face image to be detected and processing the imagesto obtain a first eye contour control point and a second eye contour control point, a step of performing area division on eyes of the standard face image and generating mesh vertexes in divided areas, a step of calculating a deformation function according to the first eye contour control point, the second eye contour control point and the mesh vertexes, a step of carrying out local deformation oneye makeup material texture sampling coordinates in the mesh vertexes by using the deformation function, a step of generating a triangular mesh surface according to the deformed mesh vertexes, a stepof creating an OpenGL vertex cache by using the deformed mesh vertexes, a step of creating an OpenGL index cache by using the triangular mesh surface, and a step of attaching a makeup material to theface image to be detected according to the vertex cache and the index cache. According to the technical scheme provided by the invention, an eye makeup material can accurately and naturally fit various eye shapes, a makeup effect is improved, and at the same time, the makeup time can be shortened.
Owner:CHENDU PINGUO TECH

Method for analyzing piezoelectric elasticity of piezoelectric composite laminated shell

The invention provides a method for analyzing piezoelectric elasticity of a piezoelectric composite laminated shell. The method comprises the following steps: according to a rotation tensor decomposing concept, establishing a three-dimensional shell analyzing model of the piezoelectric composite laminated shell; on the basis of a variational asymptotic method, decomposing the three-dimensional shell analyzing model into an asymptotically corrective two-dimensional shell surface model and one-dimensional warping function analysis in the normal direction of a shell reference surface, performing approximate energy derivation and Reissner-MindLin formal transformation on the asymptotically corrective shell surface model, inputting a Reissner-MindLin model as a solver into two-dimensional shell analysis of a computer, remodeling a three-dimensional strain field of the piezoelectric composite laminated shell in the thickness direction through two-dimensional shell overall response obtained from the two-dimensional shell analysis and a warping function, and analyzing the piezoelectric elasticity of the piezoelectric composite laminated shell. In the method, any dynamic assumption is not required, so that the computation process is greatly simplified, the calculated amount is small, and few computer resources are occupied.
Owner:CHONGQING UNIV
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