Numerical implicitization for intersection and \(G^n\)-continuous blending of surfaces

DOI10.1016/S0167-8396(97)00040-XzbMath0963.65020MaRDI QIDQ5933861

Erich Hartmann

Publication date: 14 June 2001

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (7)

Heterogeneous material modeling with distance fields ⋮ A generalised formulation of G-continuous Bezier elements applied to non-linear MHD simulations ⋮ Computing all parametric solutions for blending parametric surfaces ⋮ Implicit \(G^{n}\)-blending of vertices ⋮ SURFACE BLENDING USING A POWER SERIES SOLUTION TO FOURTH ORDER PARTIAL DIFFERENTIAL EQUATIONS ⋮ \(G^{n}\)-continuous connections between normal ringed surfaces ⋮ Construction of flexible blending parametric surfaces via curves

Cites Work

• Blending an implicit with a parametric surface
• A marching method for parametric surface/surface intersection
• Blending of implicit surfaces with functional splines
• Tracing surface intersections
• Constant-radius blending in surface modelling
• Topological and differential-equation methods for surface intersections
• A survey of blending methods that use parametric surfaces
• Intersection of offsets of parametric surfaces
• \(G^ 2\) interpolation and blending on surfaces
• \(G^{n-1}\)-functional splines for interpolation and approximation of curves, surfaces and solids
• Blending algebraic surfaces
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