Geometric modeling
Approximate conversion of spline curves
Computer Aided Geometric Design - Special issue: Topics in CAGD
Intrinsic parametrization for approximation
Computer Aided Geometric Design
Using partial differential equations to generate free-form surfaces: 91787
Computer-Aided Design
Spline conversion for trimmed rational Be´zier- and B-spline surfaces
Computer-Aided Design - Special Issue: Be´zier Techniques
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
An efficient surface intersection algorithm based on lower-dimensional formulation
ACM Transactions on Graphics (TOG)
Interactive Boolean operations for conceptual design of 3-D solids
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Techniques for interactive design using the PDE method
ACM Transactions on Graphics (TOG)
Computer Aided Geometric Design
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Clipping of B-Spline Surface Patches at Surface Curves
Proceedings of the 3rd IMA Conference on the Mathematics of Surfaces
Free-Form Solid Modeling with Trimmed Surface Patches
IEEE Computer Graphics and Applications
Trimming for subdivision surfaces
Computer Aided Geometric Design
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A method for trimming surfaces generated as solutions to partial differential equations (PDEs) is presented. The work we present here utilises the 2D parameter space on which the trim curves are defined whose projection on the parametrically represented PDE surface is then trimmed out. To do this we define the trim curves to be a set of boundary conditions which enable us to solve a low order elliptic PDE on the parameter space. The chosen elliptic PDE is solved analytically, even in the case of a very general complex trim, allowing the design process to be carried out interactively in real time. To demonstrate the capability for this technique we discuss a series of examples where trimmed PDE surfaces may be applicable.