Category:Journal Computer Aided Geometric Design

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Papers published in the Journal "Computer Aided Geometric Design"

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Articles in category "Journal Computer Aided Geometric Design"

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A A 4-point interpolatory subdivision scheme for curve design A C^2 polygonal surface patch A Greville-like formula for gamma-B-spline functions A Locally Controllable Spline with Tension for Interactive Curve Design A Survey of Curve and Surface Methods in CAGD A bivariate C^2 Clough-Tocher scheme A dimensionality paradigm for surface interrogations A fast algorithm to raise the degree of B-spline curves A geometric interpretation of convexity conditions for surfaces A guided clothoid spline A local scheme for bivariate co-monotone interpolation A marching method for parametric surfaces / surface intersection A modified C^2 Coon's patch A modified Clough-Tocher interpolant A new method of evaluating compact geometric bounds in subdivision algorithms A new multiaffine approach to B-splines A note on blossoming A note on control polygons and derivatives A parallel multistage method for surface/surface intersection A pentagonal surface patch for computer aided geometric design A rational cubic spline with tension A recursive proof of a B-spline identity for degree elevation A representation of a C^2 interpolant over triangles A robust method for calculating the simplicity and orientation of planar polygons A set operation algorithm for sculptured solids modeled with trimmed patches A shape preserving interpolant with tension controls A short proof of the Oslo algorithm A survey of curve and surface methods in CAGD A trivariate Clough-Tocher scheme for tetrahedral data A trivariate Powell-Sabin interpolant Adaptive contouring of three-dimensional surfaces Algebraic properties of plane offset curves Algorithms for polynomials in Bernstein form An affine representation of de Casteljau's and de Boor's rational algorithms An algebraic approach to curves and surfaces on the sphere and on other quadrics An algorithm for constructing convexity and monotonicity-preserving splines in tension An analysis of invariant curves An area-oriented analytical visibility method for displaying parametrically defined tensor-product surfaces An efficient algorithm for subdividing linear Coons surfaces An example of bivariate interpolation with translates of C^0 -quadratic box-splines on a three direction mesh An improved condition for the convexity and positivity of Bernstein - B'ezier surfaces over triangles An improved condition for the convexity of Bernstein-B'ezier surfaces over triangles An iterative method for computing multivariate C^1 piecewise polynomial interpolants Analytic properties of plane offset curves Approximate conversion of rational B-spline patches Approximate conversion of rational splines Approximate conversion of spline curves Approximate conversion of surface representations with polynomial bases Approximation and geometric modeling with simplex B-splines associated with irregular triangles Approximation of circular arcs by cubic polynomials Automatic parametrization of rational curves and surfaces III: Algebraic plane curves Automatic smoothing with geometric surface patches B B'ezier curves of positive curvature B'ezier patches on cubic grid curves - an application to the preliminary design of a yacht hull surface B'ezier presentations of airfoils Bernstein-Bezier methods for the construction of bivariate spline approximants Bernstein-Bezier representation of volumes Bicubic patches for approximating non-rectangular control-point meshes Blossoming and knot insertion algorithms for B-spline curves Blossoms are polar forms C C^1 trivariate polynomial interpolation C^2 interpolation over hypercubes Calculating with box splines Cardinal interpolation: A bivariate polynomial example Chebyshev economization for parametric surfaces Computing area filling contours for surface definition by piecewise polynomials

C cont. Computing curves invariant under halving Computing frames along a trajectory Computing surfaces invariant under subdivision Computing zeros of spline functions Conditions for avoiding loss of geometric continuity on spline curves Constructing piecewise rational curves with Frenet frame continuity Construction of three-diamensional Dealunay-triangulations using local transformations Contouring a bivariate quadratic polynomial over a triangle Convergence of a surface / surface intersection algorithm Convergence of a surface/surface intersection algorithm Convexity of B'ezier nets on triangulations Convexity of Bezier on sub-triangles Cubic spline fitting using data dependent triangulations Cubicoids: modeling and visualization Curvature computations for degenerate surface patches Curvature continuous curves and surfaces Curves under tension Cutting corners always works Cyclides in computer aided geometric design D De Boor-Fix functionals and polar forms Decomposing algebraic sets using Grobner bases Degenerate parametric curves Degree elevation of B-spline curves Derivative generation from multivariate scattered data by functional minimization Design Techniques for the Definition of Solid Objects with Free-Form Geometry Design of an n-sided surface patch from Hermite boundary data Detecting regions with undesirable curvature Detecting surface irregularities using isophotes Detecting the interection of convex objects in the plane Discrete box splines and refinement algorithms Dual bases for multivariate Bernstein - B'ezier polynomials Dual bases for spline spaces on cells E Efficient Editing of Solid Models by Exploiting Structural and Spatial Locality Efficient evaluation of multivariate polynomials Enhancement of Gordon-Coons interpolations by 'bubble functions' Errata: G^1 interpolation of generally unrestricted cubic B'ezier curves Exact offset procedures for simple solids Explicit continuity conditions for adjacent B'ezier surface patches Extended octtree representation of free form surfaces F Fairing B'ezier curves with constraints Fairing cubic B-spline curves Families of adjoint patches for a Bezier triangular surface Far arcs: A bounding region with cubic convergence Finding intersections of B-spline represented geometries using recursive subdivision techniques Finding the composite outer boundary and holes of a set of closed curves Finite quadratic segments with four conic boundary curves Four point parabolic interpolation G G-splines GC^1 continuity conditions between two adjacent rational B'ezier surface patches G^1 interpolation of generally unrestricted cubic B'ezier curves G^n-1 functional splines for interpolation and approximation of curves, surfaces and solids General B-spline Hermite interpolation Generalized subdivision and convergence Generating the B'ezier points of a beta-spline curve Genus of the intersection curve of two rational surface patches Geometric Hermite approximation of surface patch intersection curves Geometric Spline Curves Geometric continuity and convex combination patches Geometric continuous patch complexes Geometric surface patches without twist constraints Geometry cells and surface definition by finite elements Good approximation of circles by curvature-continuous B'ezier curves H Hermite interpolation with B-splines High accuracy geometric Hermite interpolation High accurate rational approximation of parametric curves Honoring Pierre B'ezier I Implementation of a divide-and-conquer-method for the intersection of parametric surfaces

I cont. Improperly parametrized rational curves Including shape handles in recursive subdivision surfaces Increasing the smoothness of bicubic spline surfaces Inflections on curves in two and three dimensions Integrating patch models for hydrostatics Interpolating curves with gradual changes in curvature Interpolation of scattered data on closed surfaces Interpolation over a sphere based upon a minimum norm network Interpolation to boundary data on the simplex Interpolation with developable Bezier patches Interpolation with piecewise quadratic visually C^2 B'ezier polynomials Intrinsic parametrization for approximation K Knot insertion from a blossoming point of view Knot line refinement algorithms for tensor product B-spline surfaces Knot removal for parametric B-spline curves and surfaces L Letter to the editor Linear subdivision is strictly a polynomial phenomenon Local control of interval tension using weighted splines Local corner cutting and the smoothness of the limiting curve Local smooth surface interpolation: a classification Local surface interpolation with B'ezier patches Local surface interpolation with Bezier patches: errata and improvements Local surface interpolation with shape parameters between adjoining Gregory patches Loop detection in surface patch intersections M Minimal roughness properties of the Delaunay triangulation Minimally supporting bases for spaces of bivariate piecewise polynomials of smoothness r and degree d ge 4r 1 Modelling rolling ball blends for computer aided geometric design Modified multiquadric methods for scattered data interpolation over a sphere Moebius reparametrizations of rational B-splines Monotonicity preserving bicubic interpolation N Necessary and sufficient conditions for tangent plane continuity of B'ezier surfaces Non-four-sided patch expressions with control points O Offsetting Operations in Solid Modeling On computing the intersection of a pair of algebraic surfaces On convexity of piecewise polynomial functions on triangulations On cyclides in geometric modeling On de Boor-like algorithms and blossoming On determining start points for a surface/surface intersection algorithm On invariant curve forms On the convexity of parametric B'ezier triangular surfaces On the efficiency of knot insertion algorithms On the numerical condition of algebraic curves and surfaces - 1. Implicit equations On the numerical condition of polynomials in Bernstein form On the stability of transformations between power and Bernstein polynomial forms On the use of infinite control points in CAGD Optimal approximate conversion of spline surfaces Optimal twist vectors as a tools for interpolating a network of curves with a minimum surface energy Overlap patches: a new scheme for interpolating curve networks with n-sided regions P Parameter optimization in approximating curves and surfaces to measurement data Parametric cubics as algebraic curves Piecewise algebraic surface patches Piecewise parametric approximations for algebraic curves Piecewise quadric blending of implicitly defined surfaces Planar piecewise algebraic curves Polygonization of implicit surfaces Polynomial bases for quadratic and cubic polynomials which yield control points with small convex hulls Practical curves and surfaces for a geometric modeler Projectively invariant classes of geometric continuity for CAGD Properties of n-dimensional triangulations R Rates of Concergence of control polygons Rates of convergence of B'ezier nets over triangles Rational geometric splines Rational hodographs Real rational curves are not 'unit speed' Realistic computer graphics and free form surfaces Recursive subdivision without the convex hull property Representation of quadric primitives by rational polynomials

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