ReMFPCA (version 2.0.0)

basismfd: Define a Set of Multidimensional Functional Basis

Description

The `basismfd` class represents a set of multidimensional basis functions. This class utilizes basis objects from the `fda` package, such as B-splines and Fourier bases.

Constructor for `basismfd` objects (same as Basismfd(...) )

Usage

Basismfd(...)
Basismfd(...)

Arguments

...

A list of `basisfd` objects

Active bindings

basis

A list of basis objects from the `fda` package.

dimSupp

The dimension of the support domain of the `basismfd` object.

supp

The matrix representing the ranges of the dimensions.

gram

The Gram matrix.

nbasis

A numeric vector containing the number of bases.

Methods

Public methods

• basismfd$new()

• basismfd$eval()

• basismfd$print()

• basismfd$clone()

---

Method new()

The constructor function for objects of the class `basismfd` (same as Basismfd(...) )

Usage

basismfd$new(...)

Arguments

...

A list of `basisfd` objects

---

Method eval()

Evaluate the `basismfd` object at given argument values

Usage

basismfd$eval(evalarg)

Arguments

evalarg

A list of numeric vectors of argument values at which the `basismfd` is to be evaluated

Returns

A list of evaluated values

---

Method print()

Print method for `basismfd` objects

Usage

basismfd$print(...)

Arguments

...

Additional arguments to be passed to `print` Getter and setter for `basis` field Getter and setter for `dimSupp` field Getter and setter for `nbasis` field Getter and setter for `supp` field Getter and setter for `gram` field

---

Method clone()

The objects of this class are cloneable with this method.

Usage

basismfd$clone(deep = FALSE)

Arguments

deep

Whether to make a deep clone.

Examples

require(fda)
bs1 <- create.fourier.basis(c(0, 2 * pi), 5)
bs2 <- create.bspline.basis(c(0, 1), 7)
bs3 <- create.exponential.basis(c(0, 2), 3)
# 1-D Basis ######## (similar to the fd features)
mdbs1 <- Basismfd(bs1)
mdbs1$basis
mdbs1$dimSupp
mdbs1$nbasis
mdbs1$supp
mdbs1$gram
mdbs1$eval(1:7 / 10)
image(as.matrix(mdbs1$gram))

####### 2-D Basis ######## (fd cannot handle this)
mdbs2 <- Basismfd(bs1, bs2)
mdbs2$basis
mdbs2$dimSupp
mdbs2$nbasis
mdbs2$supp
dim(mdbs2$gram)
arg_mdbs <- list(1:10, 1:9 / 10)
mdbs2$eval(arg_mdbs)
image(as.matrix(mdbs2$gram))