pub struct BSpline {
pub degree: usize,
pub knots: Vec<f64>,
pub control_points: Vec<Vec<f64>>,
}
Expand description
B-Spline
§Description
: B-Spline is a generalization of Bezier curve.
§Caution
- Let K = the number of knots, C = the number of control points
- For open, K = C + degree + 1 (C = K - degree - 1)
- For clamped, K + 2 * degree = C + degree + 1 (C = K + degree - 1)
§Example
use peroxide::fuga::*;
use anyhow::Result;
fn main() -> Result<()> {
let degree = 3;
let knots = vec![0f64, 0.5, 1f64];
let control_points = vec![
vec![0f64, 0f64],
vec![0.3, 0.5],
vec![0.5, 0.7],
vec![0.7, 0.3],
vec![1f64, 1f64],
];
let spline = BSpline::clamped(degree, knots, control_points)?;
let t = linspace(0f64, 1f64, 100);
let (x, y): (Vec<f64>, Vec<f64>) = spline.eval_vec(&t).into_iter().unzip();
assert_eq!(x.len(), 100);
assert_eq!(y.len(), 100);
Ok(())
}
Fields§
§degree: usize
§knots: Vec<f64>
§control_points: Vec<Vec<f64>>
Implementations§
Source§impl BSpline
impl BSpline
Sourcepub fn clamped(
degree: usize,
knots: Vec<f64>,
control_points: Vec<Vec<f64>>,
) -> Result<Self>
pub fn clamped( degree: usize, knots: Vec<f64>, control_points: Vec<Vec<f64>>, ) -> Result<Self>
Sourcepub fn cox_de_boor(&self, t: f64, i: usize) -> f64
pub fn cox_de_boor(&self, t: f64, i: usize) -> f64
Obtain basis function via Cox-de Boor algorithm
Trait Implementations§
Source§impl Archive for BSpline
impl Archive for BSpline
Source§const COPY_OPTIMIZATION: CopyOptimization<Self>
const COPY_OPTIMIZATION: CopyOptimization<Self>
An optimization flag that allows the bytes of this type to be copied
directly to a writer instead of calling
serialize
. Read moreSource§type Archived = ArchivedBSpline
type Archived = ArchivedBSpline
The archived representation of this type. Read more
Source§type Resolver = BSplineResolver
type Resolver = BSplineResolver
The resolver for this type. It must contain all the additional
information from serializing needed to make the archived type from
the normal type.
Source§impl<'de> Deserialize<'de> for BSpline
impl<'de> Deserialize<'de> for BSpline
Source§fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where
__D: Deserializer<'de>,
fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where
__D: Deserializer<'de>,
Deserialize this value from the given Serde deserializer. Read more
Auto Trait Implementations§
impl Freeze for BSpline
impl RefUnwindSafe for BSpline
impl Send for BSpline
impl Sync for BSpline
impl Unpin for BSpline
impl UnwindSafe for BSpline
Blanket Implementations§
§impl<T> ArchivePointee for T
impl<T> ArchivePointee for T
§type ArchivedMetadata = ()
type ArchivedMetadata = ()
The archived version of the pointer metadata for this type.
§fn pointer_metadata(
_: &<T as ArchivePointee>::ArchivedMetadata,
) -> <T as Pointee>::Metadata
fn pointer_metadata( _: &<T as ArchivePointee>::ArchivedMetadata, ) -> <T as Pointee>::Metadata
Converts some archived metadata to the pointer metadata for itself.
§impl<T> ArchiveUnsized for Twhere
T: Archive,
impl<T> ArchiveUnsized for Twhere
T: Archive,
§type Archived = <T as Archive>::Archived
type Archived = <T as Archive>::Archived
The archived counterpart of this type. Unlike
Archive
, it may be
unsized. Read more§fn archived_metadata(
&self,
) -> <<T as ArchiveUnsized>::Archived as ArchivePointee>::ArchivedMetadata
fn archived_metadata( &self, ) -> <<T as ArchiveUnsized>::Archived as ArchivePointee>::ArchivedMetadata
Creates the archived version of the metadata for this value.
Source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
Source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more
Source§impl<T> CloneToUninit for Twhere
T: Clone,
impl<T> CloneToUninit for Twhere
T: Clone,
Source§impl<T> IntoEither for T
impl<T> IntoEither for T
Source§fn into_either(self, into_left: bool) -> Either<Self, Self>
fn into_either(self, into_left: bool) -> Either<Self, Self>
Converts
self
into a Left
variant of Either<Self, Self>
if into_left
is true
.
Converts self
into a Right
variant of Either<Self, Self>
otherwise. Read moreSource§fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
Converts
self
into a Left
variant of Either<Self, Self>
if into_left(&self)
returns true
.
Converts self
into a Right
variant of Either<Self, Self>
otherwise. Read more§impl<T> LayoutRaw for T
impl<T> LayoutRaw for T
§fn layout_raw(_: <T as Pointee>::Metadata) -> Result<Layout, LayoutError>
fn layout_raw(_: <T as Pointee>::Metadata) -> Result<Layout, LayoutError>
Returns the layout of the type.
§impl<T, N1, N2> Niching<NichedOption<T, N1>> for N2where
T: SharedNiching<N1, N2>,
N1: Niching<T>,
N2: Niching<T>,
impl<T, N1, N2> Niching<NichedOption<T, N1>> for N2where
T: SharedNiching<N1, N2>,
N1: Niching<T>,
N2: Niching<T>,
§impl<T> Pointable for T
impl<T> Pointable for T
§impl<T> Pointee for T
impl<T> Pointee for T
§impl<T, S> SerializeUnsized<S> for Twhere
T: Serialize<S>,
S: Fallible + Writer + ?Sized,
impl<T, S> SerializeUnsized<S> for Twhere
T: Serialize<S>,
S: Fallible + Writer + ?Sized,
§fn serialize_unsized(
&self,
serializer: &mut S,
) -> Result<usize, <S as Fallible>::Error>
fn serialize_unsized( &self, serializer: &mut S, ) -> Result<usize, <S as Fallible>::Error>
Writes the object and returns the position of the archived type.