An improved algorithm for checking the injectivity of 2D toric surface patches
From MaRDI portal
Publication:2192485
DOI10.1016/j.camwa.2020.01.001zbMath1451.68304OpenAlexW3000695407WikidataQ122538646 ScholiaQ122538646MaRDI QIDQ2192485
Ye Ji, Chun-Gang Zhu, Yingying Yu
Publication date: 17 August 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.01.001
Computer science aspects of computer-aided design (68U07) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (7)
\(h\)-refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis ⋮ Penalty function-based volumetric parameterization method for isogeometric analysis ⋮ Geometric conditions for injectivity of 3D Bézier volumes ⋮ Algorithms for computing the approximation of offsets of toric Bézier curves ⋮ Improved algorithms for determining the injectivity of 2D and 3D rational Bézier curves ⋮ Curvature-based \(r\)-adaptive isogeometric analysis with injectivity-preserving multi-sided domain parameterization ⋮ Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Injectivity of NURBS curves
- Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method
- Self-intersection detection and elimination in freeform curves and surfaces
- Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis
- Parameterization of computational domain in isogeometric analysis: methods and comparison
- On the injectivity of Wachspress and mean value mappings between convex polygons
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Toric surface patches
- Efficient \(r\)-adaptive isogeometric analysis with Winslow's mapping and monitor function approach
- Geometric conditions of non-self-intersecting NURBS surfaces
- Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization
- Creating multisided rational Bézier surfaces using base points
- One-to-one piecewise linear mappings over triangulations
- Injectivity Conditions of 2D and 3D Uniform Cubic B-Spline Functions
- Some Geometrical Aspects of Control Points for Toric Patches
- Multiple Equilibria in Complex Chemical Reaction Networks: I. The Injectivity Property
- Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry
This page was built for publication: An improved algorithm for checking the injectivity of 2D toric surface patches
