cad_helpers.hpp File Reference

Detailed Description

Implementation of functions evaluating basis splines (B-splines) and other useful functions for CAD.

Definition in file cad_helpers.hpp.

#include "cad_helpers_fwd.hpp"
#include "medusa/bits/utils/assert.hpp"
#include <algorithm>

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Namespaces
	mm
	Root namespace for the whole library.
	mm::cad_helpers
	Namespace for helper functions used in CAD.

Functions
template<typename scalar_t , int dim>
Vec< scalar_t, dim >	mm::cad_helpers::evaluate_b_spline (scalar_t t, int p, const Range< Vec< scalar_t, dim >> &control_points, const Range< scalar_t > &knots, int k)
	Evaluate B-spline in one point using De Boor's algorithm - \(\mathcal{O}(d p^2)\), where \(d\) is the number of dimensions. More...
template<typename scalar_t , int dim>
Vec< scalar_t, dim >	mm::cad_helpers::evaluate_b_spline (scalar_t t, int p, const Range< Vec< scalar_t, dim >> &control_points, const Range< scalar_t > &knots, scalar_t epsilon=1e-10)
	Overload with binary search for position of t in knots. More...
template<typename scalar_t , int dim>
void	mm::cad_helpers::generate_b_spline_derivative (int p, const Range< Vec< scalar_t, dim >> &control_points, const Range< scalar_t > &knots, Range< Vec< scalar_t, dim >> &der_control_points, Range< scalar_t > &der_knots)
	Generate control points and knot vector of a B-spline that is the first derivative of the inputed B-spline. More...
template<typename scalar_t , int dim>
void	mm::cad_helpers::generate_b_spline_derivative_control_points (int p, const Range< Vec< scalar_t, dim >> &control_points, const Range< scalar_t > &knots, Range< Vec< scalar_t, dim >> &der_control_points)
	Generate control points of a B-spline that is the first derivative of the inputed B-spline. More...
template<typename scalar_t >
void	mm::cad_helpers::generate_b_spline_derivative_knots (const Range< scalar_t > &knots, Range< scalar_t > &der_knots)
	Generate knots of a B-spline that is the first derivative of the inputed B-spline. More...