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ParametricCurves.jl

A Julia package for parametric curve computations.

Overview

ParametricCurves.jl provides a convenient and efficient suite of functions for geometric computations in Julia, including:

  • Vector operations: Norm, normalization, dot products, and cross products
  • Geometric computations: Angles between vectors, projections, and distance calculations
  • Parametric geometry: Line and plane equations in 3D space
  • Curve analysis: Arc length, tangent vectors, curvature, normal vectors, binormal vectors, torsion and Frenet-Serret frame.
  • Symbolic and numeric support: All functions work with both numeric values and symbolic expressions via SymPy

Whether you're doing computational geometry, differential geometry, or general vector calculus, GeometryToolkit.jl provides the essential tools you need.

Installation

using Pkg
Pkg.add("ParametricCurves")

For symbolic computation support, also install SymPy.jl

Pkg.add("SymPy")

Quick Start

using ParametricCurves
using SymPy

# Example usage
julia> @syms x y z l m n 
julia> Cross([x,y,z],[l,m,n])

[
y*n - z*m,
z*l - x*n,
x*m - y*l
]

Documentation Contents

Index