2D curve fitting/ C4130 Interpolation and function approximation (numerical analysis) C6130 Data handling techniques C7310 Mathematics computingA new algorithm for fitting a smooth curve through two datapoints, to meet specified tangent direction and curvature requirements at these datapoints, is described...
Legacy– Does not distinguish if the mesh is curving outward (convex) or inward (concave) but instead takes into account only the amount of overall curvature. Convex– Generates a grayscale based on the mesh's outward curve. Concave– Generates a grayscale based on the mesh's inward curve....
Among the physicochemical cues in the cellular microenvironment that orchestrate cell processes, the different levels of curvature in the extracellular matrix and intrinsic to the tissues play a pivotal role in the spatiotemporal control of key cellular
3.2. Segmentation of the mesh Our method processes 3D data using a 2D technique (picture inpainting). For that reason, it is necessary to parametrize the mesh and obtain a planar representation of the surface. However, if we conduct a global parameterization and generate a single image per mes...
To further validate my scheme, I show that in such a 3D space the tangent vector to a PHI-curve for LAM=const1 would be parallel to a tangent vector to a PHI-curve for LAM=const2 on the surface of an ellipsoid of revolution. Surfaces parameterized by Gauss surface normal coordinates, ...
In the two-dimensional (d = 2) case that we are studying, each cell has four neighboring cells (2d) which share with it a common boundary. In section two, we trans- form the continuous metric of a two-sphere into that of the lattice. We also explore the change in the scalar ...
Measures the shape properties of the object boundaries and displays the curvature. Original author:Dr. Meghan Driscoll Modified and compacted/concised a complicated codebase by: Preetham Manjunatha Thanks to Dr. Meghan Driscoll who kindly shared her code for academic purpose. If you use this code ...
a) the help of CAD tool to enter a desired profile 2D or 3D rolling curve (5); B) by a desired profile rolling 2D or 3D input curve (5) by a rounded optimization algorithm 2D or 3D rolling profile curve (5), wherein the rounded algorithm 2D or 3D rolling profile curve (5) subst...
of cross-sections as the first, but this time for the tangential and sagittal curvature directions. It’s interesting to note that although the 2D maps look quite different, along this particular cross-section, the X- and Y-curvature cross sections have exactly the same values...
Being a differential and Hilbertian condition, it was for many years unclear how to extend the Bakry–Émery definition beyond the smooth Riemannian setting, as interest in (measured) Gromov-Hausdorff limits of Riemannian manifolds and other non-Hilbertian singular spaces steadily grew. In parallel...