Geometry and Transformations

Classes related to geometric Transformations and Projective Geometry. More...

Collaboration diagram for Geometry and Transformations:

Classes
class	BIAS::AffineTransf
	last line of an affine transformation in 3d space is always 0 0 0 1 and can therefor be droped from this class for this reason it is necessairy to overload certain operators and functions e.g. More...
class	BIAS::CamPoseCalib
	this classs allows estimation of the internal (except skew) and external camera parameters by an iterative non-linear algorithm from given 2D-3D correspondences More...
class	BIAS::Conic2D
	A 3x3 matrix representing a conic (cone/plane intersection) More...
class	BIAS::CoordinateTransform3D
	Transforms 3d points between two different coodinate systems, e.g. More...
class	BIAS::CovMatrix3x3
	class for 3x3 covariance matrices More...
class	BIAS::DualQuaternion< QUAT_TYPE >
	class representing rigid motion by dual quaternions More...
class	BIAS::EMatrix
	class representing an Essential matrix More...
class	BIAS::EpipolarLine
	A class for representing epipolar lines with useful functions like ScanLine(). More...
class	BIAS::EuclideanTransf3D
	Euclidean transformation for 3D points. More...
class	BIAS::FMatrix
	class representing a Fundamental matrix More...
class	BIAS::FMatrixBase
	describes the epipolar relationship between a point and his mapping on a corresponding epipolar line. More...
class	BIAS::HMatrix
	a 3x3 Matrix describing projective transformations between planes More...
class	BIAS::HMatrixBase
	describes a homography More...
class	BIAS::HMatrixEstimation
	Estimate 3x3 matrix relating image coordinates with each other, i.e. More...
class	BIAS::HomgLine2D
	a line l = (a b c)^T is a form of the implicit straight line equation 0 = a*x + b*y + c if homogenized, a^2 + b^2 = 1 beware: (a b) is the vector perpendicular to the line direction therefor b could be interpreted as dx, but then a is equal to -dy More...
class	BIAS::HomgPlane3D
	A homogeneous plane (in P^3) All points X on the plane p fulfill p ' * X = 0. More...
class	BIAS::HomgPoint2D
	class HomgPoint2D describes a point with 2 degrees of freedom in projective coordinates. More...
class	BIAS::HomgPoint3D
	class HomgPoint3D describes a point with 3 degrees of freedom in projective coordinates. More...
class	BIAS::KMatrix
	K describes the mapping from world coordinates (wcs) to pixel coordinates (pcs). More...
class	BIAS::Normalization
	class Normalization Functions, e.g. More...
class	BIAS::PMatrix
	describes a projective 3D -> 2D mapping in homogenous coordinates More...
class	BIAS::PMatrixBase
	describes a projective 3D -> 2D mapping in homogenous coordinates More...
class	BIAS::Pose
	Represents 3d pose transformations, parametrized as Euclidean translation and unit quaternion orientation. More...
class	BIAS::PoseParametrizationCovariance
	class encapsulating the transfromations between different pose parametrizations More...
class	BIAS::Projection
	This class hides the underlying projection model, like projection matrix, spherical camera, lens distortion. More...
class	BIAS::ProjectionParametersBufferedRay
	This class maps image coords to rays which are buffered for fast lookup. More...
class	BIAS::ProjectionParametersCylindric
	Camera parameters which define the mapping between rays in the camera coordinate system and pixels in the image as well as external pose. More...
class	BIAS::ProjectionParametersDynamicLoad
	can load exernally programmed child classes of ProjectionParametersBase More...
class	BIAS::ProjectionParametersGreatCircles
	spherical camera that samples along big circles containig the H vector. More...
class	BIAS::ProjectionParametersOrthographic
	Camera parameters which define the mapping between rays in the camera coordinate system and pixels in the image as well as external pose. More...
class	BIAS::ProjectionParametersPerspective
	camera parameters which define the mapping between rays in the camera coordinate system and pixels in the image as well as external pose More...
class	BIAS::ProjectionParametersPerspectiveDepth
	additional depth calibration parameters for a perspective depth camera to be used for ToF-(PMD) cameras. More...
class	BIAS::ProjectionParametersSpherical
	camera parameters which define the mapping between rays in the camera coordinate system and pixels in the image as well as external pose More...
class	BIAS::ProjectionParametersSphericalFast
	spherical camera that uses polynomial only and should therefore be faster than other spherical camera More...
class	BIAS::Quadric3D
	A quadric as a 4x4 matrix describing a surface in 3d projective space defined by a quadratic equation, e.g. More...
class	BIAS::Quaternion< T >
	class for rotation with axis and angle More...
class	BIAS::RMatrix
	3D rotation matrix More...
class	BIAS::RMatrixBase
	Implements a 3D rotation matrix. More...
class	BIAS::RotationAveraging
	Computes mean of rotations due to different measures. More...
class	BIAS::SphericalCoordinates
	Transformation between affine and spherical coordinates. More...

Detailed Description

Classes related to geometric Transformations and Projective Geometry.