Listar por autoría "f07327a6-dd5c-4c72-bb5b-32da86ffdd7e"

Mostrando ítems 1-8 de 8

    • closedAccess   A third order partial differential equation for isotropic boundary based triangular Bézier surface generation 

      Arnal, A.; Monterde, Juan Elsevier (2011-08-15)
      We approach surface design by solving a linear third order Partial Differential Equation (PDE). We present an explicit polynomial solution method for triangular Bézier PDE surface generation characterized by a boundary ...

    • openAccess   Bézier surfaces with prescribed diagonals 

      Arnal, A.; Monterde, Juan Elsevier (2023-05)
      The affine space of all tensor product Bézier patches of degree n × n with prescribed main diagonal curves is determined. First, the pair of Bézier curves which can be diagonals of a Bézier patch is characterized. Besides ...

    • openAccess   Curvature approximation from parabolic sectors 

      Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria; Monterde, Juan International Society for Stereology (2017)
      We propose an invariant three-point curvature approximation for plane curves based on the arc of a parabolic sector, and we analyze how closely this approximation is to the true curvature of the curve. We compare our results ...

    • openAccess   Explicit Bézier control net of a PDE surface 

      Arnal, A.; Monterde, Juan Elsevier (2017-02)
      The PDE under study here is a general fourth-order linear elliptic Partial Differential Equation. Having prescribed the boundary control points, we provide the explicit expression of the whole control net of the associated ...

    • closedAccess   Explicit polynomial solutions of fourth order linear elliptic partial differential equations for boundary based smooth surface generation 

      Arnal, A.; Monterde, Juan; Ugail, Hassan Elsevier (2011-08)
      We present an explicit polynomial solution method for surface generation. In this case the surface in question is characterized by some boundary configuration whereby the resulting surface conforms to a fourth order linear ...

    • closedAccess   Generating harmonic surfaces for interactive design 

      Arnal, A.; Monterde, Juan Elsevier (2014-06)
      A method is given for generating harmonic tensor product Bézier surfaces and the explicit expression of each point in the control net is provided as a linear combination of prescribed boundary control points. The matrix ...

    • closedAccess   Geometric Hermite interpolation by rational curves of constant width 

      Arnal, A.; Beltran Solsona, Jose Vicente; Monterde, Juan; Rochera, David Elsevier (2023-09-28)
      A constructive characterization of the support function for a rationally parameterized curve of constant width is given. In addition, a Hermite interpolation problem for such kind of curves is solved, which yields a method ...

    • closedAccess   PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces 

      Arnal, A.; Lluch, Ana; Monterde, Juan Elsevier (2011)
      We approach surface design by solving second-order and fourth-order Partial Differential Equations (PDEs). We present many methods for designing triangular Bézier PDE surfaces given different sets of prescribed control ...