-
Computing cross fields - A PDE approach based on the Ginzburg-Landau theory
Cross fields are auxiliary in the generation of quadrangular meshes. A m...
read it
-
An Approach to Quad Meshing Based on Harmonic Cross-Valued Maps and the Ginzburg-Landau Theory
A generalization of vector fields, referred to as N-direction fields or ...
read it
-
Loopy Cuts: Surface-Field Aware Block Decomposition for Hex-Meshing
We present a new fully automatic block-decomposition hexahedral meshing ...
read it
-
Algebraic Representations for Volumetric Frame Fields
Field-guided parametrization methods have proven effective for quad mesh...
read it
-
Representing three-dimensional cross fields using 4th order tensors
This paper presents a new way of describing cross fields based on fourth...
read it
-
Coarse Quad Layouts Through Robust Simplification of Cross Field Separatrix Partitions
Streamline-based quad meshing algorithms use smooth cross fields to part...
read it
-
Ginzburg-Landau energy and placement of singularities in generated cross fields
Cross field generation is often used as the basis for the construction o...
read it
Octahedral Frames for Feature-Aligned Cross-Fields
We present a method for designing smooth cross fields on surfaces that automatically align to sharp features of an underlying geometry. Our approach introduces a novel class of energies based on a representation of cross fields in the spherical harmonic basis. We provide theoretical analysis of these energies in the smooth setting, showing that they penalize deviations from surface creases while otherwise promoting intrinsically smooth fields. We demonstrate the applicability of our method to quad-meshing and include an extensive benchmark comparing our fields to other automatic approaches for generating feature-aligned cross fields on triangle meshes.
READ FULL TEXT
Comments
There are no comments yet.