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[2010-09-08]

GoTools Core

The GoTools Core library contains core functionality and basic geometrical utility functions:

• Closest point calculations
  • Between two curves in the plane
  • Between two curves in space
  • Between a curve and a surface
  • Between two surfaces and a plane
• Computation of intersections
  • Between two curves in the plane
  • Between two curves in space
  • Intersect a surface and a plane
  • Between a curve and a surface
• Affine transformations
  • Rotate curves , surfaces , bounded surfaces , points and clouds .
  • Translate curves , surfaces , bounded surfaces and clouds .
• Splitting and merging
  • Split a curve into Bezier segments
  • Split a surface into Bezier patches
  • Merge individual patches into a spline surface
• Approximation
  • Approximate parametrized points with a spline curve within a prescribed tolerance, whilst fulfilling boundary conditions ( ApproxCurve ).
  • Approximate parametrized points with a spline surface within a prescribed tolerance, whilst fulfilling boundary conditions ( ApproxSurf ).
• Smoothing
  • Perform smoothing on a spline curve while fulfilling various constraints (SmoothCurve ).
  • Perform smoothing on a spline surface while fulfilling various constraints (SmoothSurf ).
  • Perform smoothing on a set of spline surfaces while fulfilling various constraints (SmoothSurfSet ).
• Skinning
  • Given input of a set of curves, and possibly the corresponding cross tangent curves, create a spline surface interpolating the curves (loftSurface ).
• Coons patch
  • Given input of four boundary curves, and possibly their corresponding cross tangent curves, create a spline surface interpolating the curves (createCoonsPatch ).
• Gordons surface
  • The generalization of 'Coons patch' to also include inner curves as well as their corresponding cross tangent curve (createGordonSurface ).
• Hahns surface
  • The generalization of 'Coons patch' to cover input of 3 to 6 boundary curves, and possibly their corresponding cross tangent curve. The number of surfaces created equals the number of boundary curves. For the case of 4 boundary curves Coons patch is usually a better hole-filling strategy ( HahnsSurface ).

GoTools Parametrization

The purpose of the GoTools Parametrization library is to compute a reasonable parametrization for a discrete geometrical object. This geometrical object can be a planar graph embedded in or (triangulation, rectangular grid, etc.) or a point cloud without any explicit connectivity, but with an identified border.

There are many contexts for which such a parametrization is useful, for example when mapping textures onto polygonal meshes or when triangulating a surface from a set of scattered 3D points. The algorithms contained in this software are based on the work of Dr. Michael Floater.

GoTools Approximate Implicitization

This library contains tools for implicitizing spline curves and surfaces. Contains also various classes for Bernstein polynomials.

Historically, the underlying ideas for implicitzation and approximate implicitization were developed by Tor Dokken at SINTEF, ICT, in his Ph.D. thesis: Aspects of Intersection Algorithms and Approximation, University of Oslo, Norway, 1997. The implementations in this library was done in connection with the EU projects GAIA I and II.

GoTools Intersections

An object oriented library for finding intersections of geometric objects like spline curves and surfaces. The library handles singular surfaces and singular and near singular intersections.

GoTools Igeslib

Basic IGES reading and writing utility.

GoTools Trivariate

Trivariate splines.

Downloads

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