Functions
Matrix	get_translation_matrix (const Vector &v)
	Creates a translation matrix from the given vector. More...

Matrix	get_rotation_matrix (double theta)
	Creates a (2D) rotation matrix from the given angle. More...

Matrix	get_rotation_matrix (const Vector &u, const Vector &v)
	Creates a ND rotation matrix that rotates the first argument to the second one. More...

Vector	projective_to_euclidean (const Vector &v)
	Converts coordinates in projective space to coordinates in euclidean space. More...

Vector	projective_to_euclidean_2d (const Vector &v)
	Converts coordinates in (2D) projective space to coordinates in (2D) euclidean space. More...

Vector	euclidean_to_projective (const Vector &v)
	Converts coordinates in euclidean space to coordinates in projective space. More...

Vector	euclidean_to_projective_2d (const Vector &v)
	Converts coordinates in (2D) euclidean space to coordinates in (2D) projective space. More...

bool	is_point_in_polygon_new (Matrix poly, Vector point)

Matrix	polygon_to_mask (Matrix poly, int height, int width)

template<size_t D>
Matrix_d< D, D >	get_rotation_matrix (const Vector_d< D > &u, const Vector_d< D > &v)
	Creates a ND rotation matrix that rotates the first argument to the second one. More...

Function Documentation

Vector kjb::geometry::euclidean_to_projective ( const Vector & v )

Converts coordinates in euclidean space to coordinates in projective space.

Converts coordinates in euclidean space to coordinates in projective space. i.e., converts from non-homogeneous to homogeneous coordinates. If the given vector is already homogeneous, this function simply returns it.

This is a simple function, but is useful when passing to stl transform() to convert a vector of non-homogeneous coordinates to homogeneous with a single line of code.

Author: Kyle Simek, Ernesto Brau

Vector kjb::geometry::euclidean_to_projective_2d ( const Vector & v )

Converts coordinates in (2D) euclidean space to coordinates in (2D) projective space.

Converts coordinates in euclidean space to coordinates in projective space. i.e., converts from non-homogeneous to homogeneous coordinates. If the given vector is already homogeneous, this function simply returns it.

This is a simple function, but is useful when passing to stl transform() to convert a vector of non-homogeneous coordinates to homogeneous with a single line of code.

Author: Ernesto Brau, Kyle Simek

Matrix kjb::geometry::get_rotation_matrix ( double theta )

Creates a (2D) rotation matrix from the given angle.

Parameters

theta The angle.

Note: If you want 3D rotations, use kjb::Quaternion.

Matrix kjb::geometry::get_rotation_matrix	(	const Vector &	u,
		const Vector &	v
	)

Creates a ND rotation matrix that rotates the first argument to the second one.

Parameters

u	Starting vector
v	Ending vector

Note: If you want 3D rotations, use kjb::Quaternion.

template<size_t D>

Matrix_d<D, D> kjb::geometry::get_rotation_matrix	(	const Vector_d< D > &	u,
		const Vector_d< D > &	v
	)

inline

Creates a ND rotation matrix that rotates the first argument to the second one.

Parameters

u	Starting vector
v	Ending vector

Note: If you want 3D rotations, use kjb::Quaternion.

Matrix kjb::geometry::get_translation_matrix ( const Vector & v )

Creates a translation matrix from the given vector.

Parameters

v	The translation vector, which must be in euclidean (non-homogeneous) coordinates!

bool kjb::geometry::is_point_in_polygon_new	(	Matrix	poly,
		Vector	point
	)

is_point_in_polygon_new() (updated cpp version)

Takes a polygon and a point. Determines wheter or not the point is in the boundaries of the polygon.

NOTE: Points of the Polygon must be in cyclical order, otherwise you might get the wrong answer

NOTE: if the point is on the border, returns true;

Fun Fact: Works with non convex polygons! (except sometimes when the point has exactly the y value of one of the polygon's verticies - working on that)

Parameters

poly	- a Nx2 Matrix of the points of a Polygon, in a cyclic order. point - Vector(x,y)

Returns: false if point is outside polygon true if point is inside polygon

Matrix kjb::geometry::polygon_to_mask	(	Matrix	poly,
		int	height,
		int	width
	)

Vector kjb::geometry::projective_to_euclidean ( const Vector & v )

Converts coordinates in projective space to coordinates in euclidean space.

Converts coordinates in projective space to coordinates in euclidean space. i.e., converts from homogeneous to non-homogeneous coordinates. If the given vector is already euclidean, this function simply returns it.

This is a simple function, but is useful when passing to stl transform() to convert a vector of homogeneous coordinates to non-homogeneous with a single line of code.

Author: Kyle Simek, Ernesto Brau

Vector kjb::geometry::projective_to_euclidean_2d ( const Vector & v )

Converts coordinates in (2D) projective space to coordinates in (2D) euclidean space.

Converts coordinates in projective space to coordinates in euclidean space. i.e., converts from homogeneous to non-homogeneous coordinates. If the given vector is already euclidean, this function simply returns it.

This is a simple function, but is useful when passing to stl transform() to convert a vector of homogeneous coordinates to non-homogeneous with a single line of code.

Author: Kyle Simek, Ernesto Brau

Functions

Function Documentation