Blob Class Reference

#include <Blob.h>

Inheritance diagram for Blob:

[legend]Collaboration diagram for Blob:

[legend]List of all members.

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Detailed Description

A pure virtual Blob class collecting methods common to all blobby models.

Blob is a unary operator that assumes a quadric operand that returns radius squared. A separate real kernel function of one variable is defined by its instances that accepts the squared radius and returns a quasi-Gaussian bump.

Definition at line 21 of file Blob.h.

Public Member Functions
virtual double	kernel (double r2)=0
	The kernel function defined by instances.
virtual double	dkernel (double r2)=0
	The derivatives (wrt r2, not r !!!) of the kernel.
virtual double	d2kernel (double r2)=0
virtual Intervald	kernel (Intervald r2)=0
virtual Intervald	dkernel (Intervald r2)=0
virtual Intervald	d2kernel (Intervald r2)=0
virtual double	proc (gmVector3 x)
	proc just applies the kernel to the squared-radius
virtual gmVector3	grad (gmVector3 x)
	Blob gradient.
virtual gmMatrix3	hess (gmVector3 x)
	Blob Hessian Uses chain rule.
virtual Intervald	proc (Box< double > x)
	Interval version of proc().
virtual Box3d	grad (Box< double > x)
	Interval version of grad().
virtual IMatrix3d	hess (Box< double > x)
	Interval version of hess().
virtual const char **	getPixmapXPM (const int &size) const
	Returns the Pixmap for the Surface as a char* in the XPM image format.
Protected Attributes
double	m_r
	The radius of blob object.

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Member Function Documentation

virtual Intervald Blob::d2kernel (  Intervald  r2  )  [pure virtual]

Implemented in Blinn, and Wyvill.

virtual double Blob::d2kernel (  double  r2  )  [pure virtual]

Implemented in Blinn, and Wyvill. Referenced by hess().

virtual Intervald Blob::dkernel (  Intervald  r2  )  [pure virtual]

Implemented in Blinn, and Wyvill.

virtual double Blob::dkernel (  double  r2  )  [pure virtual]

The derivatives (wrt r2, not r !!!) of the kernel. Todo: These should default to central differences. Implemented in Blinn, and Wyvill. Referenced by grad(), and hess().

virtual const char** Blob::getPixmapXPM (  const int &  size  )  const [inline, virtual]

Returns the Pixmap for the Surface as a char* in the XPM image format. This is a icon that can be used to represent the implicit in a GUI environment. Reimplemented from Implicit. Definition at line 118 of file Blob.h.

virtual Box3d Blob::grad (  Box< double >  x  )  [inline, virtual]

Interval version of grad(). Reimplemented from UnaryOp. Definition at line 87 of file Blob.h. References dkernel(), Implicit::grad(), Intervald, UnaryOp::m_f, and Implicit::proc().

virtual gmVector3 Blob::grad (  gmVector3  x  )  [inline, virtual]

Blob gradient. Uses chain rule for gradient d/dx blob(x) = d/dx kernel(m_f(x)) = dkernel(m_f(x))dm_f(x)/dx Reimplemented from UnaryOp. Definition at line 54 of file Blob.h. References dkernel(), Implicit::grad(), UnaryOp::m_f, and Implicit::proc().

virtual IMatrix3d Blob::hess (  Box< double >  x  )  [inline, virtual]

Interval version of hess(). Reimplemented from UnaryOp. Definition at line 101 of file Blob.h. References d2kernel(), dkernel(), Implicit::grad(), Implicit::hess(), Intervald, UnaryOp::m_f, outer(), and Implicit::proc().

virtual gmMatrix3 Blob::hess (  gmVector3  x  )  [inline, virtual]

Blob Hessian Uses chain rule. d2/dx2 blob(x) = d/dx dkernel(m_f(x))dm_f(x)/dx = d2kernel(m_f(x))/dx2 (dm_f(x)/dx)^2 + dkernel(m_f(x))/dx d2m_f(x)/dx2 Reimplemented from UnaryOp. Definition at line 67 of file Blob.h. References d2kernel(), dkernel(), Implicit::grad(), Implicit::hess(), UnaryOp::m_f, outer(), and Implicit::proc().

virtual Intervald Blob::kernel (  Intervald  r2  )  [pure virtual]

Implemented in Blinn, and Wyvill.

virtual double Blob::kernel (  double  r2  )  [pure virtual]

The kernel function defined by instances. Implemented in Blinn, and Wyvill. Referenced by proc().

virtual Intervald Blob::proc (  Box< double >  x  )  [inline, virtual]

Interval version of proc(). Reimplemented from UnaryOp. Definition at line 78 of file Blob.h. References Intervald, kernel(), UnaryOp::m_f, and Implicit::proc().

virtual double Blob::proc (  gmVector3  x  )  [inline, virtual]

proc just applies the kernel to the squared-radius Reimplemented from UnaryOp. Definition at line 42 of file Blob.h. References kernel(), UnaryOp::m_f, and Implicit::proc().

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Member Data Documentation

double Blob::m_r [protected]

The radius of blob object. Definition at line 24 of file Blob.h. Referenced by Wyvill::_setq(), Blinn::_setq(), Wyvill::d2kernel(), Blinn::d2kernel(), Wyvill::dkernel(), Blinn::dkernel(), Wyvill::getq(), Blinn::getq(), Wyvill::init(), Blinn::init(), Wyvill::kernel(), Blinn::kernel(), Wyvill::procq(), and Blinn::procq().

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

• Blob.h

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