igl::SphereMeshWedge< Scalar > Class Template Reference

A class to compute the signed distance to a "Sphere-Mesh Wedge" as seen in variable radius offset surfaces or Sphere-Meshes. More...

#include <SphereMeshWedge.h>

Public Types
enum	{ BIG_VERTEX = 0 , BIG_EDGE = 1 , NO_TRIANGLE = 2 , FULL = 3 }
using	RowVector3S = Eigen::Matrix<Scalar, 1, 3>

Public Member Functions
	SphereMeshWedge ()
	SphereMeshWedge (const RowVector3S &V0, const RowVector3S &V1, const RowVector3S &V2, const Scalar r0, const Scalar r1, const Scalar r2)
	Constructor that takes three vertices and three radii.
Scalar	operator() (const RowVector3S &p) const

Public Attributes
enum igl::SphereMeshWedge:: { ... }	flavor
Eigen::Matrix< Scalar, 3, 3, Eigen::RowMajor >	V
Eigen::Matrix< Scalar, 3, 1 >	r
Eigen::Matrix< Scalar, 3, 3, Eigen::RowMajor >	EV
Eigen::Matrix< Scalar, 3, 1 >	l
Eigen::Matrix< Scalar, 3, 1 >	l2
Eigen::Matrix< Scalar, 3, 1 >	rr
Eigen::Matrix< Scalar, 3, 1 >	a2
Eigen::Matrix< Scalar, 3, 1 >	il2
int	max_i
Eigen::Matrix< Scalar, 5, 4, Eigen::RowMajor >	planes
Eigen::Matrix< Scalar, 3, 3, Eigen::RowMajor >	T
Eigen::Matrix< Scalar, 3, 3, Eigen::RowMajor >	C

Detailed Description

template<typename Scalar>
class igl::SphereMeshWedge< Scalar >

A class to compute the signed distance to a "Sphere-Mesh Wedge" as seen in variable radius offset surfaces or Sphere-Meshes.

Each wedge is defined by three vertices and three radii, one at each vertex. The wedge is the union of all spheres at points on the triangle with radius linearly interpolated. See, e.g., "Sphere-Meshes for Real-Time Hand Modeling and Tracking" or "A Multilinear Model for Bidirectional Craniofacial Reconstruction" or "Sphere-Meshes: Shape Approximation using Spherical Quadric Error Metrics" or "Variable-Radius Offset Surface Approximation on the GPU".

Member Typedef Documentation

RowVector3S

template<typename Scalar>

using igl::SphereMeshWedge< Scalar >::RowVector3S = Eigen::Matrix<Scalar, 1, 3>

Member Enumeration Documentation

anonymous enum

template<typename Scalar>

anonymous enum

Enumerator
BIG_VERTEX
BIG_EDGE
NO_TRIANGLE
FULL

Constructor & Destructor Documentation

SphereMeshWedge() [1/2]

template<typename Scalar>

igl::SphereMeshWedge< Scalar >::SphereMeshWedge ( )

inline

SphereMeshWedge() [2/2]

template<typename Scalar>

igl::SphereMeshWedge< Scalar >::SphereMeshWedge	(	const RowVector3S &	V0,
		const RowVector3S &	V1,
		const RowVector3S &	V2,
		const Scalar	r0,
		const Scalar	r1,
		const Scalar	r2 )

Constructor that takes three vertices and three radii.

Parameters

V0	first vertex position
V1	second vertex position
V2	third vertex position
r0	radius at first vertex
r1	radius at second vertex
r2	radius at third vertex

Member Function Documentation

operator()()

template<typename Scalar>

Scalar igl::SphereMeshWedge< Scalar >::operator()

(

const RowVector3S &

p

)

const

Parameters

[in]

p

3-vector query point

Returns

signed distance to the wedge at point p

Member Data Documentation

[]

enum { ... } igl::SphereMeshWedge< Scalar >::flavor

V

template<typename Scalar>

Eigen::Matrix<Scalar,3,3,Eigen::RowMajor> igl::SphereMeshWedge< Scalar >::V

r

template<typename Scalar>

Eigen::Matrix<Scalar,3,1> igl::SphereMeshWedge< Scalar >::r

EV

template<typename Scalar>

Eigen::Matrix<Scalar,3,3,Eigen::RowMajor> igl::SphereMeshWedge< Scalar >::EV

l

template<typename Scalar>

Eigen::Matrix<Scalar,3,1> igl::SphereMeshWedge< Scalar >::l

l2

template<typename Scalar>

Eigen::Matrix<Scalar,3,1> igl::SphereMeshWedge< Scalar >::l2

rr

template<typename Scalar>

Eigen::Matrix<Scalar,3,1> igl::SphereMeshWedge< Scalar >::rr

a2

template<typename Scalar>

Eigen::Matrix<Scalar,3,1> igl::SphereMeshWedge< Scalar >::a2

il2

template<typename Scalar>

Eigen::Matrix<Scalar,3,1> igl::SphereMeshWedge< Scalar >::il2

max_i

template<typename Scalar>

int igl::SphereMeshWedge< Scalar >::max_i

planes

template<typename Scalar>

Eigen::Matrix<Scalar,5,4,Eigen::RowMajor> igl::SphereMeshWedge< Scalar >::planes

T

template<typename Scalar>

Eigen::Matrix<Scalar,3,3,Eigen::RowMajor> igl::SphereMeshWedge< Scalar >::T

C

template<typename Scalar>

Eigen::Matrix<Scalar,3,3,Eigen::RowMajor> igl::SphereMeshWedge< Scalar >::C

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The documentation for this class was generated from the following file:

• include/igl/SphereMeshWedge.h