Documentation

pynurbs is a python package for geometry parametrization that provides easy-to-use data structures to describe parametric curves and allows the use of Custom objects.

Introduction

• Installation
  • How to install
  • Testing the Installation
• Get started
  • What is NURBS?
  • The elements
• Motivation
• Features

Using the library

• Basics
  • Construct a BSpline curve
  • Evaluating curve points
  • Construct a rational bspline curve
  • Insert and remove knots
  • Degree increase and decrease
  • Clean curve
  • Split and unite
  • Mathematic operations
  • Fitting
  • Derivative
  • Projection of a point in curve
  • Intersection of two curves
• Custom objects
  • First example
  • Second example
  • Third example
  • Fourth example
• Knot Vector
  • Construct a Knot Vector
  • Custom Knot Vector
• Basis Functions
  • Bezier
  • B-Spline
  • Rational B-Spline
  • Inserting knots in knotvector
  • Non uniform splines
• Curves
• Advanced Operations
  • Knot insertion
  • Knot removal
  • Degree increase
  • Degree decrease
• Calculus
• Fitting

References

• GeneratorKnotVector
  • GeneratorKnotVector.bezier()
  • GeneratorKnotVector.integer()
  • GeneratorKnotVector.uniform()
  • GeneratorKnotVector.random()
  • GeneratorKnotVector.weight()
• KnotVector
  • KnotVector.npts
  • KnotVector.knots
  • KnotVector.limits
  • KnotVector.degree
  • KnotVector.internal
  • KnotVector.shift()
  • KnotVector.scale()
  • KnotVector.convert()
  • KnotVector.normalize()
  • KnotVector.insert()
  • KnotVector.remove()
  • KnotVector.span()
  • KnotVector.mult()
  • KnotVector.valid()
  • KnotVector.split()
• Function
• Curve
  • Curve.eval()
  • Curve.knot_insert()
  • Curve.knot_remove()
  • Curve.knot_clean()
  • Curve.degree_increase()
  • Curve.degree_decrease()
  • Curve.degree_clean()
  • Curve.clean()
  • Curve.split()
  • Curve.fit_curve()
  • Curve.fit_function()
  • Curve.fit_points()
  • Curve.fit()
• Derivate
• Integrate
  • Integrate.scalar()
  • Integrate.lenght()
  • Integrate.density()
  • Integrate.function()
• Projection
  • Projection.point_on_bezier()
  • Projection.point_on_curve()
• Intersection
  • Intersection.filter_pairs()
  • Intersection.pairs_min_distance()
  • Intersection.bcurve_and_bcurve()
  • Intersection.curve_and_curve()

Theory

• Knot Vector
• Fitting
• Derivative
• Numerical Integration

Support

Raise an issue on the GitHub issue tracker or contact me at compmecgit@gmail.com. If you have a request for a feature to be added to the pynurbs package, please don’t hesitate to get in touch

License

The project is licensed under the MIT license.