LTI-Lib: lti::draw3D< T > Class Template Reference

The template type T specifies the type of elements of the matrix. To draw in a color image you will need for example a lti::draw3D<rgbPixel> object. Use the parameters to set the camera position and direction. You can activate/deactivate a z-Buffering using the method resetDeepCtrl(bool), where the boolean should be true if you want to activate the z-Buffering, or false otherwise. The default state for the z-Buffering is off.

 double a;

 lti::image canvas;                 // the image to draw on
 lti::draw3D<lti::rgbPixel> drawer; // our draw object
 lti::viewer view;                  // a viewer to see what we do

 canvas.resize(256,256,lti::Black); // 256x256 are enough
 drawer.use(canvas);
 drawer.setZoom(50);


 // take pictures all around... (at 1/2 degree steps...)
 for (a=0;a<5*2.0*lti::Pi;a+=0.5*lti::Pi/180.0) {
   canvas.fill(lti::Black);
   drawer.resetDeepCtrl(true); // activate the z-Buffering
   drawer.setCamera(1.5*sin(a),1.5*cos(a),1,0,0,0);

   // draw a cube
   drawer.setColor(lti::White);

   // draw the lower plate
   drawer.set3D(1,1,-1);
   drawer.line3DTo(-1,1,-1);
   drawer.line3DTo(-1,-1,-1);
   drawer.line3DTo(1,-1,-1);
   drawer.line3DTo(1,1,-1);

   // draw the upper plate
   drawer.set3D(1,1,1);
   drawer.line3DTo(-1,1,1);
   drawer.line3DTo(-1,-1,1);
   drawer.line3DTo(1,-1,1);
   drawer.line3DTo(1,1,1);

   // and the edges
   drawer.setColor(lti::Red);
   drawer.line3D(-1, 1,1,-1, 1,-1);
   drawer.setColor(lti::Green);
   drawer.line3D(-1,-1,1,-1,-1,-1);
   drawer.setColor(lti::Blue);
   drawer.line3D( 1,-1,1, 1,-1,-1);
   drawer.setColor(lti::Yellow);
   drawer.line3D( 1, 1,1, 1, 1,-1);

   view.show(canvas);
 }

See also draw3D<T>::parameters for more information about the camera parameters.

Constructor & Destructor Documentation

Member Function Documentation

template<class T>
void lti::draw3D< T >::axis	(	const double	size,
		const T &	colorX,
		const T &	colorY,
		const T &	colorZ
	)

draw axis with dimension "size" and using the given color for each axis

Reimplemented in lti::scene3D< T >, and lti::scene3D< rgbPixel >.

template<class T>
double lti::draw3D< T >::copysign	(	const double &	a,
		const double &	b
	)	`[inline, protected]`

copysign return abs(a) with the sign of b

template<class T>
bool lti::draw3D< T >::correctLine	(	int &	x,
		int &	y,
		double &	z,
		const int &	x2,
		const int &	y2,
		const double &	z2
	)	`[protected]`

checks and corrects 3D line to be within the image

template<class T>
void lti::draw3D< T >::ellipsoid	(	const vector< double > &	mean,
		const matrix< double > &	sigma,
		const double &	cst
	)

Draw an ellipsoid surface defined through a constant mahalanobis distance between the mean vector and the points of the surface, i.e.

the surface contains all points that satisfy the equation (x-mean)^T sigma^(-1) (x-mean) = cst

The color of the ellipsoid is given with the setColor() method, and the lighting conditions with the parameter "lighting".

Parameters:

	mean	point at the center of the ellipsoid.
	sigma	covariance matrix
	cst	mahalanobis distace from the points at the surface and the mean value

Reimplemented in lti::scene3D< T >, and lti::scene3D< rgbPixel >.

template<class T>
const hmatrix& lti::draw3D< T >::getCameraMatrix	(		)	const

get a read-only reference of the transformation matrix being used.

template<class T>
static T lti::draw3D< T >::getGray	(	const float &	val	)	`[static]`

return a grey value for the proper type T, where the input is always between 0 (black) and 1 (white).

template<class T>
dpoint lti::draw3D< T >::getOriginPosition	(		)	const

get a read-only reference to the coordinate point in the current image, where the origin of the world coordinates will be projected.

template<class T>
parameters& lti::draw3D< T >::getParameters	(	void		)	`[inline]`

get parameters

template<class T>
const parameters& lti::draw3D< T >::getParameters	(	void		)	const `[inline]`

get parameters

template<class T>
void lti::draw3D< T >::grid	(	const double	size,
		const int	nbSteps
	)

draw a grid with dimension "size" using the actual drawnig color.

The grid lies in all three dimensions at size/2.

Reimplemented in lti::scene3D< T >, and lti::scene3D< rgbPixel >.

template<class T>
void lti::draw3D< T >::ioLine	(	const point &	p1,
		const double &	z1,
		const point &	p2,
		const double &	z2,
		ivector &	in,
		ivector &	out,
		dvector &	zIn,
		dvector &	zOut,
		const int	firstY
	)	const `[protected]`

help function for triangle.

Draws a line as io codes in the given lists. This function expects p1.y <= p2.y

template<class T>
void lti::draw3D< T >::line3D	(	const double &	x,
		const double &	y,
		const double &	z,
		const double &	x2,
		const double &	y2,
		const double &	z2
	)

draw a line between (x,y,z) and (x2,y2,z2)

Reimplemented in lti::scene3D< T >, and lti::scene3D< rgbPixel >.

template<class T>
void lti::draw3D< T >::line3DTo	(	const double &	x,
		const double &	y,
		const double &	z
	)

draw a line between the last used point and (x,y,z)

Reimplemented in lti::scene3D< T >, and lti::scene3D< rgbPixel >.

template<class T>
void lti::draw3D< T >::marker3D	(	const double &	x,
		const double &	y,
		const double &	z,
		const char *	style
	)

sets marker with given style

template<class T>
void lti::draw3D< T >::marker3D	(	const double &	x,
		const double &	y,
		const double &	z
	)

sets marker with selected style

Reimplemented in lti::scene3D< T >, and lti::scene3D< rgbPixel >.

template<class T>
void lti::draw3D< T >::p3Dto2D	(	const dpoint3D &	p3,
		point &	p2,
		double &	z2
	)	const

project 3D point into camera plane

template<class T>
void lti::draw3D< T >::p3Dto2D	(	const double &	x,
		const double &	y,
		const double &	z,
		int &	x2,
		int &	y2,
		double &	z2
	)	const

project 3D point into camera plane

template<class T>
void lti::draw3D< T >::resetDeepCtrl	(	const bool	deep = `true`	)

reset z-Buffer.

With this method you can activate/deactivate the z-Buffering. This allows the correct display of your drawings. Note that if you resize the used image (see use()), this object will not be able to detect it automatically (this would take too much time!) and your program could crash! To avoid problems, call again one of use or resetDeepCtrlmethods after resizing your image.

Parameters:

deep

if true, the z-Buffering will be activated, otherwise the z-Buffering will be deactivated.

template<class T>
void lti::draw3D< T >::set2D	(	const int &	x,
		const int &	y,
		const double &	z
	)

sets 2D point with the selected color if it is in front of all other points with the same projection coordinates, considering the z-buffering (if enabled) and the given z coordinate.

If the z-buffering is disabled, the pixel at (x,y) will be set.

Parameters:

	x	position x
	y	position y
	z	deep information

Reimplemented in lti::scene3D< T >, and lti::scene3D< rgbPixel >.

template<class T>
void lti::draw3D< T >::set3D	(	const triangle &	t,
		const bool	filled = `true`
	)	`[protected]`

sets a triangle

template<class T>
void lti::draw3D< T >::set3D	(	const channel &	chnl,
		const float &	height,
		const point &	gridSize = `point(5, 5)`,
		const point &	sampleRate = `point(1, 1)`,
		const bool	onlyPoints = `false`,
		const bool	useBoxes = `false`,
		const bool	heightColor = `false`,
		const bool	drawLines = `false`,
		const T &	lineColor = `T()`,
		const bool	drawContour = `false`,
		const T &	contourColor = `T()`
	)

Draw the given channel as a 3D structure, where the height of the pixel is given by its intensity.

The actual color will be shaded to produce the 3D effect. The y-axis will be inverted, to convert the image left coordinate system to the 3D right system.

Parameters:

	chnl	the channel with the 3D information
	height	the height of the value 1.0 in the channel
	gridSize	the number of pixels used for a "cell" in the grid. Use for example point(5,5)
	sampleRate	determines which pixels in the image are going to be used in the grid points. point(1,1) uses all pixels, point(2,2) each second point and so on.
	onlyPoints	if true, only the points will be drawn, if false, boxes or grids will be drawn.
	useBoxes	if true, boxes will be used to display each pixel, otherwise a triangular mesh will be used.
	heightColor	if true, the channel intensity will define the grey tone for the pixel, otherwise the actual color will be used.
	drawLines	if true, the vertical lines at each grid point will be drawn.
	lineColor	color for the vertical lines
	drawContour	if true, the contour of each triangle in the mesh will be redrawn using the countour color given.
	contourColor	color used to draw the contour of the triangles. Only used if drawContour is true

Reimplemented in lti::scene3D< T >, and lti::scene3D< rgbPixel >.

template<class T>
void lti::draw3D< T >::setCamera	(	const dpoint3D &	x1,
		const double &	elevation,
		const double &	azimuth
	)

set position and direction of the camera

template<class T>
void lti::draw3D< T >::setCamera	(	const dpoint3D &	x1,
		const dpoint3D &	x2
	)

set position and target position of the camera

template<class T>
void lti::draw3D< T >::setCamera	(	const double &	x1,
		const double &	y1,
		const double &	z1,
		const double &	elevation,
		const double &	azimuth
	)

set position and direction of the camera

template<class T>
void lti::draw3D< T >::setCamera	(	const double &	x1,
		const double &	y1,
		const double &	z1,
		const double &	x2,
		const double &	y2,
		const double &	z2
	)

set position and target position of the camera

template<class T>
void lti::draw3D< T >::setCenter	(	const dpoint &	x	)

set camera plane center

These are relative coordinates, i.e. if you want to map the target camera point cam2 (see parameters) exactly at the center of your image, just setCenter(0.5,0.5).

template<class T>
void lti::draw3D< T >::setCenter	(	const double &	x,
		const double &	y
	)

set camera plane center.

These are relative coordinates, i.e. if you want to map the target camera point cam2 (see parameters) exactly at the center of your image, just setCenter(0.5,0.5).

template<class T>
bool lti::draw3D< T >::setParameters	(	const parameters &	opt	)

set parameters

template<class T>
void lti::draw3D< T >::setPerspective	(	const double &	p	)

set perspective.

Set to zero for an orthographic projection or greater zero for perspective effects. You can consider this value as -1/f with f the focal distance. So, to get good results try always positive values

template<class T>
void lti::draw3D< T >::setZoom	(	const double &	z	)

set zoom factor

template<class T>
T lti::draw3D< T >::shadingColor	(	const dpoint3D &	nrm,
		const T &	color
	)	const `[protected]`

compute the shading color from "color", assuming that the light source is at z-axis in infinity, and the normal vector to the surface is given.

template<class T>
int lti::draw3D< T >::sign	(	const double &	a	)	`[inline, protected]`

returns 1 if a >= 0.0; -1 otherwise

template<class T>
void lti::draw3D< T >::use	(	matrix< T > &	img	)	`[virtual]`

Indicates in which image will be drawn.

Reimplemented from lti::draw< T >.

Member Data Documentation

template<class T>
dpoint3D lti::draw3D< T >::act `[protected]`

actual (last used) 3D point coordinates

template<class T>
hmatrix lti::draw3D< T >::cam `[protected]`

camera homogene transformation matrix

template<class T>
bool lti::draw3D< T >::deepCtrl `[protected]`

true: use a Z-Buffer

template<class T>
dpoint lti::draw3D< T >::precenter `[protected]`

camera plane center in normalized coordinates (0.

.1)

lti::draw3D< T > Class Template Reference

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Classes

Detailed Description

template<class T>
class lti::draw3D< T >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation


Public Member Functions
	draw3D ()
	~draw3D ()
virtual const char *	getTypeName () const
void	use (matrix< T > &img)
bool	setParameters (const parameters &opt)
const parameters &	getParameters () const
parameters &	getParameters ()
void	setCamera (const double &x1, const double &y1, const double &z1, const double &x2, const double &y2, const double &z2)
void	setCamera (const double &x1, const double &y1, const double &z1, const double &elevation, const double &azimuth)
void	setCamera (const dpoint3D &x1, const dpoint3D &x2)
void	setCamera (const dpoint3D &x1, const double &elevation, const double &azimuth)
void	setPerspective (const double &p)
void	setCenter (const double &x, const double &y)
void	setCenter (const dpoint &x)
void	setZoom (const double &z)
dpoint	getOriginPosition () const
const hmatrix &	getCameraMatrix () const
void	resetDeepCtrl (const bool deep=true)
void	p3Dto2D (const double &x, const double &y, const double &z, int &x2, int &y2, double &z2) const
void	p3Dto2D (const dpoint3D &p3, point &p2, double &z2) const
void	set3D (const dpoint3D &p)
void	set2D (const int &x, const int &y, const double &z)
void	marker3D (const double &x, const double &y, const double &z)
void	marker3D (const double &x, const double &y, const double &z, const char *style)
void	set3D (const double &x, const double &y, const double &z)
template<class U>
void	set3D (const hPoint3D< U > &p)
void	line3DTo (const double &x, const double &y, const double &z)
void	line3DTo (const dpoint3D &p)
void	line3D (const dpoint3D &a, const dpoint3D &b)
void	line3D (const double &x, const double &y, const double &z, const double &x2, const double &y2, const double &z2)
void	box (const dpoint3D &a, const dpoint3D &b, const bool filled=true)
void	box (const dpoint3D &a, const dpoint3D &b, const T lineColor)
void	ellipsoid (const vector< double > &mean, const matrix< double > &sigma, const double &cst)
void	set3D (const channel &chnl, const float &height, const point &gridSize=point(5, 5), const point &sampleRate=point(1, 1), const bool onlyPoints=false, const bool useBoxes=false, const bool heightColor=false, const bool drawLines=false, const T &lineColor=T(), const bool drawContour=false, const T &contourColor=T())
void	grid (const double size, const int nbSteps)
void	axis (const double size)
void	axis (const double size, const T &colorX, const T &colorY, const T &colorZ)
Static Public Member Functions
static T	getGray (const float &val)
Protected Member Functions
bool	correctLine (int &x, int &y, double &z, const int &x2, const int &y2, const double &z2)
T	shadingColor (const dpoint3D &nrm, const T &color) const
void	set3D (const triangle &t, const bool filled=true)
void	ioLine (const point &p1, const double &z1, const point &p2, const double &z2, ivector &in, ivector &out, dvector &zIn, dvector &zOut, const int firstY) const
double	copysign (const double &a, const double &b)
int	sign (const double &a)
Protected Attributes
parameters	param
bool	deepCtrl
matrix< float >	deepImg
dpoint3D	act
hmatrix	cam
dpoint3D	camTarget
dpoint	center
dpoint	precenter
Classes
class	hmatrix
	homogene matrix More...
class	parameters
	parameters for draw3D. More...
class	triangle
	Triangle is the base for all other polygons. More...

lti::draw3D< T > Class Template Reference

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Classes

Detailed Description

template<class T> class lti::draw3D< T >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class T>
class lti::draw3D< T >