Results 61 to 70 of about 5,568 (215)
UBVH: Unified Bounding Volume and Scene Geometry Representation for Ray Tracing
Computer Graphics Forum, EarlyView.Abstract Bounding volume hierarchies (BVHs) are currently the most common data structure used to accelerate ray tracing. The existing BVH methods distinguish between the bounding volume representation associated with the interior BVH nodes and the scene geometry representation associated with leaf nodes.
M. Káčerik, J. Bittner
wiley +1 more source
Duality for Spaces of Holomorphic Functions into a Locally Convex Topological Vector Space [PDF]
, 2018 Consider an open subset O of the complex plane and a function f : O ÝÑ C. We understand the concept of holomorphicity of a complex-valued function. Suppose a function f defined on O takes values in a locally convex topological vector space (the complex
Sehgal, Kriti
core
Basis Networks: Learning basis functions for free‐form triangulations
Computer Graphics Forum, EarlyView.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
Pták homomorphism theorem revisited [PDF]
, 1989 summary:Rodrigues’ extension (1989) of the classical Pták’s homomorphism theorem to a non-necessarily locally convex setting stated that a nearly semi-open mapping between a semi-B-complete space and an arbitrary topological vector space is semi-open. In
López Pellicer, M. +3 more
core +1 more source
SCHAUDER BASIS AND SEQUENCER SPACES IN GENERAL TOPOLOGICAL VECTOR SPACES
Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)Minkowski functionals of balanced neighbourhoods of zero are used to define sequence spaces in which sequences are sequences in general non locally convex topological vector spaces.
C. G. Moorthy, I. R. Saminathan
semanticscholar +1 more source
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
Locally Convex Spaces with the Extension Property [PDF]
, 1960 There are several researches on a normed space N with the extension property : each continuous linear function f on a subspace of any normed space with values in N has a linear extension f' on the whole space such that ‖f‖=‖f'‖.
Sawashima, Ikuko +2 more
core
Volume Quantization with Flexible Singularities for Hexahedral Meshing
Computer Graphics Forum, EarlyView.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
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
Hyperspaces of topological vector spaces: their embedding in topological vector spaces [PDF]
, 1976 Let L L be a real (Hausdorff) topological vector space. The space K [ L ] \mathcal {K}[L] of nonempty compact subsets of L L forms a (Hausdorff ...
Prakash Prem, Murat R. Sertel
core +1 more source