Results 131 to 140 of about 11,641,731 (252)
Real‐Time Conformal Maps and Parameterizations
Abstract We present a simple algorithm to conformally map between two simple and bounded planar domains based on the concept of harmonic measure, which is a conformal invariant. With suitable preprocessing, the algorithm is fast enough to compute all possible conformal maps (having three real degrees of freedom) between the two domains in real time in
Q. Chang, C. Gotsman, K. Hormann
wiley +1 more source
Controllable Intrinsic Surface Pattern Generation Using Slime Mold Simulations
Abstract Surface‐based pattern simulations have proven valuable for texture design and scientific visualization, but existing methods face several limitations. Most simulations either target a narrow range of pattern types (e.g. spots, branching) or support a broad range of patterns at the cost of time‐consuming parameter tuning.
Jeffrey Layton +2 more
wiley +1 more source
2D Piecewise Linear Scalar Fields with Invertible Integral Lines
Abstract Integral lines of the gradient flow are standard features in continuously differentiable scalar fields that enjoy some useful properties: They cover the domain densely, do not split, merge, or intersect, and are therefore invertible. For widely used discretizations of scalar fields, the corresponding polygonal approximations of integral lines ...
T.L. Erxleben +3 more
wiley +1 more source
Fast Injective Mesh Parameterization via Beltrami Coefficient Prolongation
Abstract We present a highly efficient and robust method for free boundary injective parameterization of disk‐like triangle meshes with low isometric distortion. Harmonic function–based approaches, grounded in a strong mathematical framework, are widely employed.
G. Fargion, O. Weber
wiley +1 more source
Mesh Processing Non‐Meshes via Neural Displacement Fields
Abstract Mesh processing pipelines are mature, but adapting them to newer non‐mesh surface representations—which enable fast rendering with compact file size—requires costly meshing or transmitting bulky meshes, negating their core benefits for streaming applications.
Yuta Noma +4 more
wiley +1 more source
On Explicit Probability Laws for Classes of Scalar Diffusions [PDF]
This paper uses Lie symmetry group methods to obtain transition probability densities for scalar diffusions, where the diffusion coefficient is given by a power law.
Mark Craddock, Eckhard Platen
core
Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities
Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev +14 more
wiley +1 more source
Laplace and Mellin transform method for solving fractional differential equations
This thesis consists of five chapters. The first chapter is devoted to the introduction. In the second chapter, some definitions and theorems which are used all of thesis are given, basic properties of Riemann-Liouville fractional derivative and integral
Kömekçi, Ceren
core
Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy
Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley +1 more source
Deep learning of position-dependent diffusivity from umbrella sampling molecular dynamics simulations. [PDF]
Harris J, Roux B.
europepmc +1 more source

