Results 111 to 120 of about 6,790 (254)
Real‐Time Conformal Maps and Parameterizations
Computer 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
, 2004 The influence of imperfect boundaries on the mode quality factor is investigated for equilateral-triangle-resonator (ETR) semiconductor microlasers by the finite difference time domain technique and the Pade approximation with Baker's algorithm.
Lu, QY +4 more
core
Establishing Shape Correspondences: A Survey
Computer Graphics Forum, EarlyView.Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley +1 more source
Hidden Properties of the Equilateral Triangle
, 2016 The equilateral triangle provides a rich context for students and teachers to explore and discover geometrical relations using GeoGebra. In this paper, we provide teachers with interactive applets to use in their classrooms to support student ...
Flores, Alfinio +2 more
core
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
On a Periodic Solution of the 4-Body Problems
Advances in Mathematical Physics, 2014 We study the necessary and sufficient conditions on the masses for the periodic solution of planar 4-body problems, where three particles locate at the vertices of an equilateral triangle and rotate with constant angular velocity about a resting particle.
Jian Chen, Bingyu Li
doaj +1 more source
, 2019 We have fabricated three-dimensional (3D) photonic quantum ring lasers with an equilateral triangle microcavity. Their spectra were well explained by combining the off-normal resonance and hexagonally bounced in-plane whispering-gallery-mode condition ...
Yoon, J, Kwon, O, An, SJ, Kim, K, Ku, JK
core +1 more source
A Simple Grid‐Maps Pipeline: Restructured, Accelerated and Upgraded
Computer Graphics Forum, EarlyView.Abstract Grid maps – spatially arranged small multiples – are a powerful tool to show complex geospatial data. Meulemans et al. (2020) introduced a pipeline for computing high‐quality grid maps that are shaped roughly according to their containing geographic outlines.
W. Meulemans
wiley +1 more source
Non-Euclidean Erdős–Anning theorems
Journal of Computational GeometryThe Erdős–Anning theorem states that every point set in the Euclidean plane with integer distances must be either collinear or finite. More strongly, for any (non-degenerate) triangle of diameter $\delta$, at most $O(\delta^2)$ points can have integer ...
David Eppstein
doaj +1 more source
Isolated pulmonary valvular stenosis with equilateral triangle orifice. [PDF]
J Cardiol Cases, 2020 Tsunoda S +5 more
europepmc +1 more source