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(a) Scattering coefficient matrix of the imaged scene.
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Small changes on an image will not make big impact in S matrix of the image.
The most dominant components are related to the greatest eigenvalues of the covariance matrix of the image set.
The unknown tracer kinetic parameter matrix of the image Φ can then be determined by solving Y ≅ ΨΦ.
Step 3. The final membership matrix is used to replace the grayscale matrix of the image; then, it is modeled and segmented with the intuitionistic fuzzy theory.
They first construct a feature map based on the largest entry (of absolute value) in the Hessian matrix of the image function, then use Floyd-Steinberg dithering scheme to generate sample points, and finally use Delaunay triangulation to connect the nodes into a mesh.
The energy function F MS (C) of the Chan Vese model is defined as: begin{aligned} F^{MS} (C) & = mu L(C) + nu area insideC) & quad + lambda_{1} int_{insideC} {(u - c_{1} )^{2} } {text{d}}x{text{d}}y & quad + lambda_{2} int_{outsideC} {(u - c_{2} )^{2} } {text{d}}x{text{d}}y end{aligned} (1 where C is the ranging closed curve and u is matrix of the image.
The evolution equation is obtained by projecting an auxiliary vector derived from the gradient and the Hessian matrix of the image to the normal plane of the curve.
For example, spines are located by pixels that have negative products of eigenvalues calculated from the Hessian matrix of the image.
This toolbox computes morphological features by calculating the 2nd-order covariance matrix of the image moments, which is equivalent to fitting an ellipsoid to an object.
Let us call those columns I i for i = {1,2,…, 8}; we calculate the covariance matrix of the image C I [ 22]: (3) C I = E { (I − m I ) (I − m I ) T }, T indicates the matrix transpose.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com