Multiple Approaches to Frame Field Correction for CAD Models

12/03/2019
by   Reberol Maxence, et al.
0

Three-dimensional frame fields computed on CAD models often contain singular curves that are not compatible with hexahedral meshing. In this paper, we show how CAD feature curves can induce non meshable 3-5 singular curves and we study four different approaches that aims at correcting the frame field topology. All approaches consist in modifying the frame field computation, the two first ones consisting in applying internal constraints and the two last ones consisting in modifying the boundary conditions. Approaches based on internal constraints are shown not to be very reliable because of their interactions with other singularities. On the other hand, boundary condition modifications are more promising as their impact is very localized. We eventually recommend the 3-5 singular curve boundary snapping strategy, which is simple to implement and allows to generate topologically correct frame fields.

READ FULL TEXT
research
11/10/2020

Topology of Frame Field Design for Hex Meshing

In the past decade frame fields have emerged as a promising approach for...
research
06/17/2019

Topologically robust CAD model generation for structural optimisation

Computer-aided design (CAD) models play a crucial role in the design, ma...
research
07/03/2017

Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization

In this paper, we propose a general framework for constructing IGA-suita...
research
02/19/2022

Local Decomposition of Hexahedral Singular Nodes into Singular Curves

Hexahedral (hex) meshing is a long studied topic in geometry processing ...
research
09/02/2020

Isotopic Arrangement of Simple Curves: an Exact Numerical Approach based on Subdivision

This paper presents the first purely numerical (i.e., non-algebraic) sub...
research
11/15/2019

Enforcing Boundary Conditions on Physical Fields in Bayesian Inversion

Inverse problems in computational mechanics consist of inferring physica...
research
10/30/2020

Ginzburg-Landau energy and placement of singularities in generated cross fields

Cross field generation is often used as the basis for the construction o...

Please sign up or login with your details

Forgot password? Click here to reset