Splines

Inheritance diagram for SplineSet:

Public Member Functions
function	SplineSet (in varargin)
function	build (in self, in kinds, in x, in y)
function	eval (in self, in x)
function	eval_D (in self, in x)
function	eval_DD (in self, in x)
function	eval_DDD (in self, in x)
function	tmin (in self, in x)
function	tmax (in self, in x)

Protected Member Functions
function	copyElement (in self)

Detailed Description

MATLAB class wrapper for the underlying C++ class

Constructor & Destructor Documentation

SplineSet()

function SplineSet::SplineSet

(

in

varargin

)

Build a spline Set

X = [ .... ];                  % vector or nodes
Y = [ .... ];                  % matrix of values or
Y = { [....],  ...., [....] }; % cell array of vectors
kind = { .... }                % cell array of strings
                               % with the kind of each spline
 
obj = SplineSet( kind, X, Y );

Kind is a string and can be any of

kind	meaning
'linear'	linear spline (only continuous)
'cubic'	cubic spline ( \( C^2 \) function)
'akima'	Akima non oscillatory spline ( \( C^1 \) function)
'bessel'	bessel non oscillatory spline ( \( C^1 \) function)
'pchip'	Monotone \( C^1 \) function
'hermite'	Hermite spline (set \( p_k \) and \( p'_k \))
'quintic'	Quintic spline ( \( C^3 \) function)

Member Function Documentation

build()

function SplineSet::build	(	in	self,
		in	kinds,
		in	x,
		in	y )

Build a spline Set

obj = SplineSet( kind, X, Y );

copyElement()

function SplineSet::copyElement ( in self )

protected

Make a deep copy of a curve object

Usage

B = A.copy();

where A is the curve object to be copied.

eval()

function SplineSet::eval	(	in	self,
		in	x )

Evaluate spline at x

p = obj.eval( x );

eval_D()

function SplineSet::eval_D	(	in	self,
		in	x )

Evaluate spline derivative at x

p_D = obj.eval_D( x );

eval_DD()

function SplineSet::eval_DD	(	in	self,
		in	x )

Evaluate spline second derivative at x

p_DD = obj.eval_DD( x );

eval_DDD()

function SplineSet::eval_DDD	(	in	self,
		in	x )

Evaluate spline third derivative at x

p_DDD = obj.eval_DDD( x );

tmax()

function SplineSet::tmax	(	in	self,
		in	x )

Return initial t-coordinate of the spline

t = obj.tmax();

tmin()

function SplineSet::tmin	(	in	self,
		in	x )

Return initial t-coordinate of the spline

t = obj.tmin();

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

• /Users/enrico/Ricerca/develop/PINS/pins-mechatronix/LibSources/submodules/Splines/toolbox/lib/SplineSet.m