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Everything about Generalized structure tensor
In image analysis, the generalized structure tensor (GST) is an extension of the Cartesian structure tensor to curvilinear coordinates. It is mainly used to detect and to represent the "direction" parameters of curves, just as the Cartesian structure tensor detects and represents the direction in Cartesian coordinates. Curve families generated by pairs of locally orthogonal functions have been the best studied. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Generalized structure tensorA 5-minute orientation
- Skim a recent paper: Neural networks meet anisotropic hyperelasticity: A framework based on generalized structure tensors and isotropic tensor functionsInfluential work since 2022
- Pick up a classic book: Tensor categoriesThe most-reprinted book on the subject
- Read the landmark paper: Recognition by symmetry derivatives and the generalized structure tensorCited 126 times
- Go sideways: Structure tensorA closely related topic
- Go sideways: Curvilinear coordinatesA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Recognition by symmetry derivatives and the generalized structure tensor
Generalized tensor equations with leading structured tensors
Study of deuteron generalized parton distribution functions and its tensor structure function
Generalized Tensor Structures of Kawaguchi Spaces
Generalized nonnegative structured Kruskal tensor regression
🆕 Influential since 2022
Neural networks meet anisotropic hyperelasticity: A framework based on generalized structure tensors and isotropic tensor functions
Born reciprocity and relativistic generalized uncertainty principle in Finsler structure: Fundamental tensor in discretized curved spacetime
Long-time quantum scrambling and generalized tensor product structures
The Tensor Generalized Krylov Subspace Method with t-Product Structure for Solving Linear Discrete Ill-Posed Problems
📚 Books worth reading
- 📕Tensor categoriesP. I. Etingof, Shlomo Gelaki · 2015
- 📕Hopf Algebras, Tensor Categories and Related TopicsNicolás Andruskiewitsch, Gongxiang Liu · 2021
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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