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1 results about "Adaptive quadrature" patented technology

Adaptive quadrature is a numerical integration method in which the integral of a function f(x) is approximated using static quadrature rules on adaptively refined subintervals of the integration domain. Generally, adaptive algorithms are just as efficient and effective as traditional algorithms for "well behaved" integrands, but are also effective for "badly behaved" integrands for which traditional algorithms fail.

A material crack depth quantitative detection method and system based on a thermal gradient vector field

PendingCN122281812AAdaptive quadratureSupervised learning
This invention provides a method and system for quantitatively detecting material crack depth based on thermal gradient vector field, belonging to the field of nondestructive testing technology. The invention proposes a quantitative detection scheme of unilateral heat flow excitation + orthogonal gradient scanning: First, a unilateral high-temperature boundary is constructed using a portable chemical self-heating pack and insulating material, forcing the heat flow to transversely cross the crack, forming a significant temperature step; second, infrared thermographic sequences of the cooling process are acquired to construct a two-dimensional thermal potential energy field and calculate the global gradient vector field; morphological algorithms are used to extract the crack topological skeleton, and virtual rays are emitted along the local orthogonal detection direction determined by the local thermal gradient direction at the skeleton nodes. Adaptive orthogonal integration is performed to extract multidimensional spatial features under multiple time series, which are then input into a supervised learning regression model to invert the physical depth of the crack. This invention effectively eliminates the geometric projection error caused by crack curvature, and features high computational accuracy and strong anti-interference ability, making it suitable for large-scale rapid detection in engineering sites.
Owner:中铁长江交通设计集团有限公司 +3