Results 41 to 50 of about 188,550 (196)
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
From affine to barycentric coordinates in polytopes [PDF]
Each point of a simplex is expressed as a unique convex combination of the vertices. The coefficients in the combination are the barycentric coordinates of the point.
Smith, Jonathan D. H. +2 more
core
Basis Networks: Learning basis functions for free‐form triangulations
Abstract We present a framework for learning compactly supported basis functions that define tangent continuous surfaces based on coarse irregular triangle meshes. The basis functions are represented as MLPs. Smoothness of the basis functions is achieved by using the values of Loop basis functions as the parameterization of the surface.
T. Djuren, M. Alexa
wiley +1 more source
Inferring subject ancestry using genetic data is an important step in genetic association studies, required for dealing with population stratification. It has become more challenging to infer subject ancestry quickly and accurately since large amounts of
Yumi Jin +4 more
doaj +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
V diplomskem delu obravnavam baricentrične koordinate, s katerimi lahko zapišemo točke v trikotniku v ravnini ali v kakšnem drugem d-simpleksu. Zatem uvedem posplošene baricentrične koordinate, ki jih delimo med homogene ter računske koordinate ...
Murnik, Petja
core
Circles with Centers at Vertices of Triangles in Barycentric Coordinates
In this paper, two types of circles related to a triangle in the Euclidean plane are studied: circles with a center at one vertex that pass through the midpoints of opposite sides, and circles with a center at one vertex that pass through the remaining ...
Vladimir Volenec +2 more
doaj +1 more source
Volume Quantization with Flexible Singularities for Hexahedral Meshing
Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
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

