Defines a surface of linear extrusion. More...
Public Member Functions | |
| SurfaceOfLinearExtrusion (global::System.IntPtr cPtr, bool cMemoryOwn) | |
| SurfaceOfLinearExtrusion (cadex.Geom.Curve theBasisCurve, cadex.Geom.Direction theDirection) | |
| Constructor. | |
Public Member Functions inherited from cadex.Geom.SweptSurface | |
| SweptSurface (global::System.IntPtr cPtr, bool cMemoryOwn) | |
| cadex.Geom.Curve | BasisCurve () |
| cadex.Geom.Direction | Direction () |
Public Member Functions inherited from cadex.Geom.Surface | |
| Surface (global::System.IntPtr cPtr, bool cMemoryOwn) | |
| cadex.Geom.SurfaceType | Type () |
| Returns a surface type. | |
| cadex.Geom.Continuity | Continuity () |
| Returns a continuity type of the surface. | |
| cadex.Geom.Point | Value (double theParameterU, double theParameterV) |
| Evaluates a point on the surface. | |
| cadex.Geom.Direction | Normal (double theParameterU, double theParameterV) |
| bool | IsUPeriodic () |
| Returns true if the surface is periodic in U direction. | |
| bool | IsVPeriodic () |
| Returns true if the surface is periodic in V direction. | |
| double | UMin () |
| Returns a minimum parameter of a definition domain in U direction. | |
| double | UMax () |
| Returns a maximum parameter of a definition domain in U direction. | |
| double | VMin () |
| Returns a minimum parameter of a definition domain in V direction. | |
| double | VMax () |
| Returns a maximum parameter of a definition domain in V direction. | |
| void | Domain (out double theUMin, out double theUMax, out double theVMin, out double theVMax) |
| Returns a definition domain. | |
| bool | IsTrimmed () |
| Returns whether surface is trimmed or not. | |
| void | SetTrim (double theUFirst, double theULast, double theVFirst, double theVLast) |
| Trims surface with [theUFirst, theULast] x [theVFirst, theVLast] section. | |
| void | Transform (cadex.Geom.Transformation theTransformation) |
| Applies transformation matrix to this object. | |
| cadex.Geom.Surface | Transformed (cadex.Geom.Transformation theTransformation) |
| Returns a copy this object after applying transformation. | |
| void | D0 (double theParameterU, double theParameterV, cadex.Geom.Point theValue) |
| void | D1 (double theParameterU, double theParameterV, cadex.Geom.Point theValue, cadex.Geom.Vector theD1U, cadex.Geom.Vector theD1V) |
| void | D2 (double theParameterU, double theParameterV, cadex.Geom.Point theValue, cadex.Geom.Vector theD1U, cadex.Geom.Vector theD1V, cadex.Geom.Vector theD2U, cadex.Geom.Vector theD2V, cadex.Geom.Vector theD2UV) |
| bool | DN (double theParameterU, double theParameterV, uint theDerivativeOrder, cadex.Geom.Point theValue, cadex.Collections.VectorList theD) |
| void | Curvature (double theParameterU, double theParameterV, cadex.Geom.Direction thePrincipalMaxDirection, cadex.Geom.Direction thePrincipalMinDirection) |
| void | Curvature (double theParameterU, double theParameterV, cadex.Geom.Direction thePrincipalMaxDirection, cadex.Geom.Direction thePrincipalMinDirection, out double theMaxCurvature, out double theMinCurvature) |
| void | Mirror (cadex.Geom.Point thePoint) |
| void | Mirror (cadex.Geom.Axis1d theAxis) |
| void | Mirror (cadex.Geom.Axis3d theAxis) |
| cadex.Geom.Surface | Mirrored (cadex.Geom.Point theRef) |
| cadex.Geom.Surface | Mirrored (cadex.Geom.Axis1d theAxis) |
| cadex.Geom.Surface | Mirrored (cadex.Geom.Axis3d theAxis) |
| void | Rotate (cadex.Geom.Axis1d theAxis, double theAngle) |
| cadex.Geom.Surface | Rotated (cadex.Geom.Axis1d theAxis, double theAngle) |
| void | Translate (cadex.Geom.Vector theVector) |
| cadex.Geom.Surface | Translated (cadex.Geom.Vector theVector) |
| void | Scale (cadex.Geom.Point thePoint, double theScale) |
| cadex.Geom.Surface | Scaled (cadex.Geom.Point thePoint, double theScale) |
Public Member Functions inherited from cadex.Geom.Geometry | |
| Geometry (global::System.IntPtr cPtr, bool cMemoryOwn) | |
Public Member Functions inherited from cadex.BaseObject | |
| BaseObject (global::System.IntPtr cPtr, bool cMemoryOwn) | |
| void | Dispose () |
| bool | IsNull () |
| ulong | Id () |
| Return unique identifier of public object. | |
| bool | IsEqual (cadex.BaseObject theObj) |
| override int | GetHashCode () |
| override bool | Equals (System.Object o) |
Static Public Member Functions | |
| static new bool | CompareType (cadex.BaseObject theObject) |
| static new cadex.Geom.SurfaceOfLinearExtrusion | Cast (cadex.Geom.Surface theBase) |
Static Public Member Functions inherited from cadex.Geom.SweptSurface | |
| static new bool | CompareType (cadex.BaseObject theObject) |
| static cadex.Geom.SweptSurface | Cast (cadex.Geom.Surface theBase) |
Static Public Member Functions inherited from cadex.Geom.Surface | |
| static new bool | CompareType (cadex.BaseObject theObject) |
Static Public Member Functions inherited from cadex.Geom.Geometry | |
| static bool | CompareType (cadex.BaseObject theObject) |
| static cadex.Geom.Geometry | Cast (cadex.BaseObject theBase) |
Protected Member Functions | |
| override void | Dispose (bool disposing) |
Protected Member Functions inherited from cadex.Geom.SweptSurface | |
| override void | Dispose (bool disposing) |
Defines a surface of linear extrusion.
Surface of linear extrusion is defined by a basis curve and an extrusion direction. The following image depicts an example of a surface of linear extrusion:
A surface of linear extrusion is parametrized as follows: \(\mathbf{S}(u,v) = \mathbf{B}(u) + v\mathbf{D}\), where
U-parameter is a parameter along the curve \(\mathbf{B}(u)\), and V-parameter is a length along extrusion direction. Thus, U-isolines are lines crossing the curve at respective parameter, and V-isoline corresponds to a curve offset at distance V along the direction \(\mathbf{D}\). V-isoline at \(v=0\) is the basis curve itself.
The curve \(\mathbf{B}(u)\) should be planar although this is not enforced.
Surface or linear extrusion is periodic along U if the basis curve is periodic itself.
If a face lies on a full range of U its boundary wire will contain two seam-edges at parameters UMin() and UMax().
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inline |
Constructor.
Creates a surface of extrusion from a basis curve and direction.
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inlineprotectedvirtual |
Reimplemented from cadex.Geom.Surface.