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Everything about Shear mapping
Type of geometric transformation
In plane geometry, a shear mapping is an affine transformation that displaces each point in a fixed direction by an amount proportional to its signed distance from a given line parallel to that direction. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Shear mappingA 5-minute orientation
- Skim a recent paper: Mapping Shear Bands in Metallic Glasses: From Atomic Structure to Bulk DynamicsInfluential work since 2022
- Pick up a classic book: Shear2FThe most-reprinted book on the subject
- Read the landmark paper: Supersonic shear imaging: a new technique for soft tissue elasticity mappingCited 2,294 times
- Go sideways: Transformation matrixA closely related topic
- Go sideways: Cartesian coordinate systemA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Supersonic shear imaging: a new technique for soft tissue elasticity mapping
Mapping stress and structurally controlled crustal shear velocity anisotropy in California
Mapping Myocardial Fiber Orientation Using Echocardiography-Based Shear Wave Imaging
Mapping the depth dependence of shear properties in articular cartilage
Grain Orientation Mapping of Polycrystalline Organic Semiconductor Films by Transverse Shear Microscopy
Mapping the dynamics of shear stress-induced structural changes in endothelial cells
High-resolution spatial mapping of shear properties in cartilage
Shear field mapping in actin networks by using magnetic tweezers
🆕 Influential since 2022
Mapping Shear Bands in Metallic Glasses: From Atomic Structure to Bulk Dynamics
Mapping shear strength and compressibility of soft soils with artificial neural networks
Machine learning and remote sensing-based lithological mapping of the Duwi Shear-Belt area, Central Eastern Desert, Egypt
MR Elastography-Based Shear Strain Mapping for Assessment of Microvascular Invasion in Hepatocellular Carcinoma
Time-Resolved Wall Shear Rate Mapping Using High-Frame-Rate Ultrasound Imaging
📚 Books worth reading
- 📕Shear2FDominique Rey · 2002
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Transformation matrix In linear algebra, linear transformations can be represented by matrices. If T is a linear transformation mapping ℝn to ℝm and 𝐱 is a column vector with…
- Cartesian coordinate system In geometry, a Cartesian coordinate system (UK: /kɑːrˈtiːzjən/, US: /kɑːrˈtiːʒən/) in a plane is a coordinate system that specifies each point uniquely…
- Affine transformation In Euclidean geometry, an affine transformation or affinity (from the Latin, affinis, "connected with") is a geometric transformation that preserves lines…
- Translation (geometry) In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction…
- Mohr's circle Mohr's circle is a two-dimensional graphical representation of the transformation law for the Cauchy stress tensor. Mohr's circle is often used in calculations…
- Rotation (mathematics) Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe…
- 3D projection A 3D projection (or graphical projection) is a design technique used to display a three-dimensional object (3D object) on a two-dimensional plane. These…
- Normal (geometry) In geometry, a normal is an object (e.g. a line, ray, or vector) that is perpendicular to a given object. For example, the normal line to a plane curve…