Fast Injective Mesh Parameterization via Beltrami Coefficient Prolongation
Computer 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
HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS
, 2013 iscan, imdat/0000-0001-6749-0591WOS: 000348691000005The author introduces the concept of harmonically convex functions and establishes some Hermite-Hadamard type inequalities of these classes of ...
Imdat Iscan, Iscan, Iindat
core
Neural Local Inter‐reflection Modeling for Garment Fold Rendering
Computer Graphics Forum, EarlyView.Abstract Realistic garment rendering requires simulating complex multi‐bounce light paths within intricate fold geometries. In these regions, conventional path tracing is computationally expensive as light becomes trapped, necessitating high bounce counts for convergence.
Jooeun Son +4 more
wiley +1 more source
Some new estimates of Hermite-Hadamard inequalities via harmonically r-convex functions [PDF]
, 2017 In this paper, we introduce the class of harmonically r-convex functions.
Awan, Muhammad Uzair +2 more
core +1 more source
Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities
Computer 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
Embedding Optimization of Layouts via Distortion Minimization
Computer Graphics Forum, EarlyView.Abstract Given an embedding of a layout in the surface of a target mesh, we consider the problem of optimizing the embedding geometrically. Layout embeddings partition the surface into multiple disk‐like patches, making them particularly useful for parametrization and remeshing tasks, such as quad‐remeshing, since these problems can then be solved on ...
A. Heuschling, I. Lim, L. Kobbelt
wiley +1 more source
Understanding Harmonic Structures Through Instantaneous Frequency. [PDF]
IEEE Open J Signal Process, 2022 Fabus MS +3 more
europepmc +1 more source
Class Angular Distortion Index for Dimensionality Reduction
Computer Graphics Forum, EarlyView.Abstract Dimensionality reduction (DR) techniques are often characterized by whether they preserve global, high‐level structures in the data or local, neighborhood structures. This distinction matters in visualization: global methods can obscure clusters while local methods can over‐emphasize them.
Kaviru Gunaratne +2 more
wiley +1 more source
Phong‐Rodrigues Extrinsic Vector‐Field Processing
Computer Graphics Forum, EarlyView.Abstract We introduce a new extrinsic discretization of tangent vector fields on triangle meshes that is continuous, with bounded derivatives that are continuous almost everywhere, supporting pointwise evaluation and integration of differential operators.
Hongyi Liu +4 more
wiley +1 more source
Molecular mechanism and energetics of coupling between substrate binding and product release in the F1-ATPase catalytic cycle. [PDF]
Proc Natl Acad Sci U S A, 2023 Badocha M +5 more
europepmc +1 more source