Results 131 to 140 of about 11,641,731 (252)

Real‐Time Conformal Maps and Parameterizations

open access: yesComputer Graphics Forum, EarlyView.
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

open access: yesComputer Graphics Forum, EarlyView.
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

open access: yesComputer Graphics Forum, EarlyView.
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

open access: yesComputer Graphics Forum, EarlyView.
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

open access: yesComputer Graphics Forum, EarlyView.
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]

open access: yes
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

open access: yesComputer Graphics Forum, EarlyView.
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

open access: yes, 2015
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

open access: yesComputer Graphics Forum, EarlyView.
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

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