From PS{splines to NURPS
نویسندگان
چکیده
منابع مشابه
From NURBS to NURPS geometries
Quadratic Powell-Sabin splines and their rational extension, the socalled NURPS surfaces, are an interesting alternative for classical tensor-product NURBS in the context of isogeometric analysis, because they allow the use of local refinements while retaining a Bspline like representation and exact description of conic sections. In this paper we present a simple and effective strategy to conve...
متن کاملWeight control for modelling with NURPS surfaces
NURPS surfaces are the rational extension of Powell-Sabin splines in their normalized B-spline representation. In this paper we study the influence of modifying the weights of a NURPS surface. We describe the relation between the weights associated with a control triangle and the points on the NURPS surface by means of a double volume ratio. We also extend the concept of Farin points for ration...
متن کاملComputer aided geometric design with Powell-Sabin splines
Powell-Sabin splines are C-continuous quadratic splines defined on an arbitrary triangulation. Their construction is based on a particular split of each triangle in the triangulation into six smaller triangles. In this article we give an overview of the properties of Powell-Sabin splines in the context of computer aided geometric design. These splines can be represented in a compact normalized ...
متن کاملProducing Gravity Acceleration at Sea Surface in Persian Gulf Using Ellipsoidal Splines
In this paper, a method is proposed for producing gravity acceleration at sea surface in the Persian Gulf. This method is based on the Geoid height from satellite altimetry, high resolution Geopotential models, and ellipsoidal splines. First, the definition of the ellipsoidal spline functions is presented in a Hilbert space, which is consisted of infinitely often differentiable functions. In or...
متن کاملPowell–Sabin splines with boundary conditions for polygonal and non-polygonal domains
Powell–Sabin splines are piecewise quadratic polynomials with a global C1-continuity, defined on conforming triangulations. Imposing boundary conditions on such a spline leads to a set of constraints on the spline coefficients. First, we discuss boundary conditions defined on a polygonal domain, before we treat boundary conditions on a general curved domain boundary. We consider Dirichlet and N...
متن کامل