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Engineering Reports, Volume 6, Issue 12, December 2024.In this work, we have combined the template method with the mapping method to innovate a four‐step mesh generation method for planar geometric models. This method enables the rapid generation of high‐quality, density‐controllable quadrilateral meshes.
Yize Li, Qingyuan Hu, Gengdong Cheng
wiley +1 more source
Meshless finite element method: using non-uniform rational B-splines
, 2001 To alleviate the major difficulties in the prevailing mashes methods, a research program was initiated to propose a robust alternative for solving a broad class of boundary-value problems.
Sheng, Ni.
core
Subdivision, and refinement of non-uniform rational B-spline curves and surfaces in 3-D
, 1998 Discussed in this paper are several mathematical spline formulations and a history of splines, Bezier\u27s cubic spline, and cubic B- splines. This includes uniform rational B-splines and non-uniform rational B-splines, their construction, pros and cons ...
La Rue, Bill E.
core
Time-Aware Non-Uniform Rational Basis Spline (T-NURBS)
Explicitly adopting time as a parameter, the defi-nition of non-uniform rational basis spline profile known short as NURBS is revisited and updated. This results in another NURBS definition that is aware of time, and not only the geometry.
Al-Rawashdeh, Yazan M. +2 more
core +1 more source
NURBS distance fields for extremely curved cracks
, 2014 This paper presents the first methodology that combines a meshless method and the exact representation of cracks using Non-Uniform Rational B-Splines (NURBS).
Rubén Sevilla
core +1 more source
An optimization method for radial NURBS surfaces [PDF]
, 2014 We study the use of non-uniform rational B-splines (NURBS) for describing axially symmetric surfaces in the design of imaging optical systems. We suggest a representation using a base sphere with an additional NURBS curve.
Werner, Jürgen +3 more
core
TURBS - Topologically Unrestricted Rational B-Splines
, 1995 We present a new approach to the construction of piecewise polynomial or rational C k -spline surfaces of arbitrary topological structure. The basic idea is to use exclusively parametric smoothness conditions, and to solve the well known problems at ...
Ulrich Reif
core
Fitting Constrained Continuous Spline Curves. [PDF]
, 2003 Fitting a curve through a set of planar data which represents a positive quantity requires that the curve stays above the horizontal axis, The more general problem of designing parametric and non-parametric curves which do not cross the given constraint
Ong, B. H., Kong, V.P.
core
A locking-free quadratic nurbs-based isogeometric formulation for plates analysis
Ho Chi Minh City Open University Journal of Science - Engineering and Technology, 2012 A new Reissner-Mindlin plate formulation based on a quadratic NURBS-based isogeometric is presented. In order to avoid the transverse shear locking and to improve the accuracy of the present formulation, the quadratic NURBS-based isogeometric is ...
Thai Hoang Chien +2 more
doaj
Approximation of the soil particle-size distribution curve using a NURBS curve
Soil and Water ResearchSoil particle-size distribution or soil texture presents one of the most important physical properties. There are various systems of the classification systems for soil particle-size fractions with different boundaries. Our effort was concentrated on the
Adéla Marie Marhoul +8 more
doaj +1 more source