Unit CastleCurves
Description
3D curves (TCurve and basic descendants).
Uses
- SysUtils
- Classes
- Generics.Collections
- DOM
- CastleVectors
- CastleBoxes
- CastleUtils
- CastleScript
- CastleClassUtils
- CastleFrustum
- X3DNodes
Overview
Classes, Interfaces, Objects and Records
| Name | Description |
|---|---|
Class ECurveFileInvalid |
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Class TCurve |
3D curve, a set of points defined by a continuous function Point for arguments within [TBegin, TEnd]. |
Class TCurveList |
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Class TCasScriptCurve |
Curve defined by explicitly giving functions for Point(t) = x(t), y(t), z(t) as CastleScript expressions. |
Class TControlPointsCurve |
A basic abstract class for curves determined my some set of ControlPoints. |
Class TPiecewiseCubicBezier |
Piecewise (composite) cubic Bezier curve. |
Functions and Procedures
function CubicBezier1D(T: Single; const Points: TVector4): Single; |
function CubicBezier2D(T: Single; const Points: TCubicBezier2DPoints): TVector2; |
function CubicBezier3D(T: Single; const Points: TCubicBezier3DPoints): TVector3; |
function CatmullRomSpline(const X: Single; const Loop: boolean; const Arguments: TSingleList; const Values: TSingleList): Single; |
function CatmullRom(const V0, V1, V2, V3, X: Single): Single; |
function HermiteSpline(const X: Single; const Loop: boolean; const Arguments, Values, Tangents: TSingleList): Single; |
function HermiteTenseSpline(const X: Single; const Loop: boolean; const Arguments, Values: TSingleList): Single; |
Types
TControlPointsCurveClass = class of TControlPointsCurve; |
TControlPointsCurveList = specialize TObjectList<TControlPointsCurve>; |
TCubicBezier2DPoints = array [0..3] of TVector2; |
TCubicBezier3DPoints = array [0..3] of TVector3; |
TCubicBezier3DPointsArray = array of TCubicBezier3DPoints; |
Description
Functions and Procedures
function CubicBezier1D(T: Single; const Points: TVector4): Single; |
|
Cubic (4 control points) Bezier curve (with all weights equal) in 1D. |
function CubicBezier2D(T: Single; const Points: TCubicBezier2DPoints): TVector2; |
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Cubic (4 control points) Bezier curve (with all weights equal) in 2D. |
function CubicBezier3D(T: Single; const Points: TCubicBezier3DPoints): TVector3; |
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Cubic (4 control points) Bezier curve (with all weights equal) in 3D. |
function CatmullRomSpline(const X: Single; const Loop: boolean; const Arguments: TSingleList; const Values: TSingleList): Single; |
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Catmull-Rom spline. Nice way to have a function that for certain arguments reaches certain values, and between interpolates smoothly. Catmull-Rom splines are a special case of cubic Hermite splines, see https://en.wikipedia.org/wiki/Cubic_Hermite_spline . |
function CatmullRom(const V0, V1, V2, V3, X: Single): Single; |
|
Catmull-Rom spline low-level function. For X in [0..1], the curve values change from V1 to V2. V0 and V3 are curve values outside the [0..1] range, used to calculate tangents. See http://www.mvps.org/directx/articles/catmull/. See also
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function HermiteSpline(const X: Single; const Loop: boolean; const Arguments, Values, Tangents: TSingleList): Single; |
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Hermite spline. Nice way to have a function that for certain arguments reaches certain values, and between interpolates smoothly. Requires specifying tangent values (use CatmullRomSpline or HermiteTenseSpline to use automatic tangents). |
function HermiteTenseSpline(const X: Single; const Loop: boolean; const Arguments, Values: TSingleList): Single; |
|
Hermite spline with tangents zero (it will be horizontal at control points). Nice way to have a function that for certain arguments reaches certain values, and between interpolates smoothly. This is equivalent (for faster) to using HermiteSpline with all tangents equal to zero. This is called a "cardinal spline", a special case of Hermite spline, with all tangents calculated with "tension" parameter equal to 1 (maximum), which means that all tangents are simply zero (horizontal). See https://en.wikipedia.org/wiki/Cubic_Hermite_spline for math behind this. |
Types
TControlPointsCurveClass = class of TControlPointsCurve; |
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This item has no description. |
TControlPointsCurveList = specialize TObjectList<TControlPointsCurve>; |
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This item has no description. |
TCubicBezier2DPoints = array [0..3] of TVector2; |
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This item has no description. |
TCubicBezier3DPoints = array [0..3] of TVector3; |
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This item has no description. |
TCubicBezier3DPointsArray = array of TCubicBezier3DPoints; |
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This item has no description. |
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