Surface Class 
A surface represents an entity that can be all visited by providing two independent parameters, usually called (u, v), or sometimes (s, t).
Namespace: Rhino.Geometry
The Surface type exposes the following members.
Name  Description  

Surface 
Protected constructor for internal use.
 
Surface(SerializationInfo, StreamingContext) 
Protected constructor for internal use.

Name  Description  

Disposed 
Indicates if this object has been disposed or the
document it originally belonged to has been disposed.
(Inherited from CommonObject.)  
HasBrepForm 
Returns true if the Brep.TryConvertBrep function will be successful for this object
(Inherited from GeometryBase.)  
HasUserData 
Gets true if this class has any custom information attached to it through UserData.
(Inherited from CommonObject.)  
IsDeformable 
true if object can be accurately modified with "squishy" transformations like
projections, shears, and nonuniform scaling.
(Inherited from GeometryBase.)  
IsDocumentControlled 
If true this object may not be modified. Any properties or functions that attempt
to modify this object when it is set to "IsReadOnly" will throw a NotSupportedException.
(Inherited from GeometryBase.)  
IsSolid 
Gets a values indicating whether a surface is solid.
 
IsValid  Tests an object to see if it is valid. (Inherited from CommonObject.)  
ObjectType 
Useful for switch statements that need to differentiate between
basic object types like points, curves, surfaces, and so on.
(Inherited from GeometryBase.)  
UserData 
List of custom information that is attached to this class.
(Inherited from CommonObject.)  
UserDictionary 
Dictionary of custom information attached to this class. The dictionary is actually user
data provided as an easy to use sharable set of information.
(Inherited from CommonObject.)  
UserStringCount 
Gets the amount of user strings.
(Inherited from GeometryBase.) 
Name  Description  

ClosestPoint 
Input the parameters of the point on the surface that is closest to testPoint.
 
ClosestSide 
Gets the side that is closest, in terms of 3Ddistance, to a U and V parameter.
 
ComponentIndex 
If this piece of geometry is a component in something larger, like a BrepEdge
in a Brep, then this function returns the component index.
(Inherited from GeometryBase.)  
ConstructConstObject 
Assigns a parent object and a subobject index to this.
(Inherited from CommonObject.)  
CreateExtrusion 
Constructs a surface by extruding a curve along a vector.
 
CreateExtrusionToPoint 
Constructs a surface by extruding a curve to a point.
 
CreatePeriodicSurface(Surface, Int32) 
Constructs a periodic surface from a base surface and a direction.
 
CreatePeriodicSurface(Surface, Int32, Boolean) 
Constructs a periodic surface from a base surface and a direction.
 
CreateRollingBallFillet(Surface, Surface, Double, Double) 
Constructs a rolling ball fillet between two surfaces.
 
CreateRollingBallFillet(Surface, Point2d, Surface, Point2d, Double, Double) 
Constructs a rolling ball fillet between two surfaces.
 
CreateRollingBallFillet(Surface, Boolean, Surface, Boolean, Double, Double) 
Constructs a rolling ball fillet between two surfaces.
 
CreateSoftEditSurface 
Creates a soft edited surface from an exising surface using a smooth field of influence.
 
CurvatureAt 
Computes the curvature at the given UV coordinate.
 
Degree 
Returns the maximum algebraic degree of any span
(or a good estimate if curve spans are not algebraic).
 
Dispose 
Actively reclaims unmanaged resources that this instance uses.
(Inherited from CommonObject.)  
Dispose(Boolean) 
For derived class implementers.
(Inherited from CommonObject.)This method is called with argument true when class user calls Dispose(), while with argument false when the Garbage Collector invokes the finalizer, or Finalize() method. You must reclaim all used unmanaged resources in both cases, and can use this chance to call Dispose on disposable fields if the argument is true. Also, you must call the base virtual method within your overriding method. In Rhino for Windows, this member is overridden by Dispose(Boolean).  
Domain  Gets the domain in a direction.  
Duplicate 
Constructs a deep (full) copy of this object.
(Inherited from GeometryBase.)  
DuplicateShallow 
Constructs a light copy of this object. By "light", it is meant that the same
underlying data is used until something is done to attempt to change it. For example,
you could have a shallow copy of a very heavy mesh object and the same underlying
data will be used when doing things like inspecting the number of faces on the mesh.
If you modify the location of one of the mesh vertices, the shallow copy will create
a full duplicate of the underlying mesh data and the shallow copy will become a
deep copy.
(Inherited from GeometryBase.)  
EnsurePrivateCopy 
If you want to keep a copy of this class around by holding onto it in a variable after a command
completes, call EnsurePrivateCopy to make sure that this class is not tied to the document. You can
call this function as many times as you want.
(Inherited from CommonObject.)  
Equals  (Inherited from Object.)  
Evaluate 
Evaluates a surface mathematically.
 
Extend 
Extends an untrimmed surface along one edge.
 
Finalize 
Passively reclaims unmanaged resources when the class user did not explicitly call Dispose().
(Inherited from CommonObject.)  
Fit  Fits a new surface through an existing surface.  
FrameAt 
Computes the orient plane on a surface given a U and V parameter.
This is the simple evaluation call with no error handling.  
GetBoundingBox(Boolean) 
Boundingbox solver. Gets the world axis aligned boundingbox for the geometry.
(Inherited from GeometryBase.)  
GetBoundingBox(Plane) 
Aligned Boundingbox solver. Gets the plane aligned boundingbox.
(Inherited from GeometryBase.)  
GetBoundingBox(Transform) 
Aligned Boundingbox solver. Gets the world axis aligned boundingbox for the transformed geometry.
(Inherited from GeometryBase.)  
GetBoundingBox(Plane, Box) 
Aligned Boundingbox solver. Gets the plane aligned boundingbox.
(Inherited from GeometryBase.)  
GetHashCode  (Inherited from Object.)  
GetNextDiscontinuity 
Searches for a derivative, tangent, or curvature discontinuity.
 
GetNurbsFormParameterFromSurfaceParameter 
Translates a parameter from the current surface to the parameter space of the surface returned by ToNurbsSurface.
 
GetObjectData 
Populates a System.Runtime.Serialization.SerializationInfo with the data needed to serialize the target object.
(Inherited from CommonObject.)  
GetSpanVector 
Gets array of span "knots".
 
GetSurfaceParameterFromNurbsFormParameter 
Translates a parameter from a value on the surface returned by ToNurbsSurface to the current surface.
 
GetSurfaceSize 
Gets an estimate of the size of the rectangle that would be created
if the 3d surface where flattened into a rectangle.
 
GetType  (Inherited from Object.)  
GetUserString 
Gets user string from this geometry.
(Inherited from GeometryBase.)  
GetUserStrings 
Gets a copy of all (user key string, user value string) pairs attached to this geometry.
(Inherited from GeometryBase.)  
HasNurbsForm 
Is there a NURBS surface representation of this surface.
 
InterpolatedCurveOnSurface 
Constructs an interpolated curve on a surface, using 3D points.
 
InterpolatedCurveOnSurfaceUV 
Constructs an interpolated curve on a surface, using 2D surface points.
 
IsAtSeam 
Tests if a surface parameter value is at a seam.
 
IsAtSingularity 
Tests if a surface parameter value is at a singularity.
 
IsClosed 
Gets a value indicating if the surface is closed in a direction.
 
IsCone 
Determines if the surface is a portion of a cone within RhinoMath.ZeroTolerance.
 
IsCone(Double)  Determines if the surface is a portion of a cone within a given tolerance.  
IsContinuous 
Tests continuity at a surface parameter value.
 
IsCylinder 
Determines if the surface is a portion of a cylinder within RhinoMath.ZeroTolerance.
 
IsCylinder(Double)  Determines if the surface is a portion of a cylinder within a given tolerance.  
IsIsoparametric(BoundingBox) 
Determines if a 2d bounding box is isoparameteric in the parameter space of this surface.
 
IsIsoparametric(Curve) 
Determines if a 2d curve is isoparameteric in the parameter space of this surface.
 
IsIsoparametric(Curve, Interval) 
Determines if a 2D curve is isoparameteric in the parameter space of this surface.
 
IsoCurve  Gets isoparametric curve.  
IsPeriodic 
Gets a value indicating if thr surface is periodic in a direction (default is false).
 
IsPlanar 
Tests a surface to see if it is planar to zero tolerance.
 
IsPlanar(Double) 
Tests a surface to see if it is planar to a given tolerance.
 
IsSingular 
true if surface side is collapsed to a point.
 
IsSphere 
Determines if the surface is a portion of a sphere within RhinoMath.ZeroTolerance.
 
IsSphere(Double) 
Determines if the surface is a portion of a sphere within a given tolerance.
 
IsTorus  Determines if the surface is a portion of a torus within RhinoMath.ZeroTolerance.  
IsTorus(Double)  Determines if the surface is a portion of a torus within a given tolerance.  
IsValidWithLog 
Determines if an object is valid. Also provides a report on errors if this
object happens not to be valid.
(Inherited from CommonObject.)  
LocalClosestPoint 
Find parameters of the point on a surface that is locally closest to
the testPoint. The search for a local close point starts at seed parameters.
 
MakeDeformable 
If possible, converts the object into a form that can be accurately modified
with "squishy" transformations like projections, shears, an nonuniform scaling.
(Inherited from GeometryBase.)  
MemberwiseClone  (Inherited from Object.)  
MemoryEstimate 
Computes an estimate of the number of bytes that this object is using in memory.
(Inherited from GeometryBase.)  
NonConstOperation 
For derived classes implementers.
(Inherited from CommonObject.)Defines the necessary implementation to free the instance from being const. In Rhino for Windows, this member is overridden by NonConstOperation.  
NormalAt 
Computes the surface normal at a point.
This is the simple evaluation call  it does not support error handling.  
Offset 
Constructs a new surface which is offset from the current surface.
 
OnSwitchToNonConst 
Is called when a nonconst operation occurs.
(Inherited from GeometryBase.)  
PointAt 
Evaluates a point at a given parameter.
 
Pullback(Curve, Double) 
Pulls a 3d curve back to the surface's parameter space.
 
Pullback(Curve, Double, Interval) 
Pulls a 3d curve back to the surface's parameter space.
 
Pushup(Curve, Double) 
Computes a 3d curve that is the composite of a 2d curve and the surface map.
 
Pushup(Curve, Double, Interval) 
Computes a 3d curve that is the composite of a 2d curve and the surface map.
 
Rebuild 
Rebuilds an existing surface to a given degree and point count.
 
Reverse(Int32) 
Reverses parameterization Domain changes from [a,b] to [b,a]
 
Reverse(Int32, Boolean) 
Same as Reverse, but if inPlace is set to true this Surface is modified
instead of a new copy being created.
 
Rotate 
Rotates the object about the specified axis. A positive rotation
angle results in a counterclockwise rotation about the axis (right hand rule).
(Inherited from GeometryBase.)  
Scale 
Scales the object by the specified factor. The scale is centered at the origin.
(Inherited from GeometryBase.)  
SetDomain 
Sets the domain in a direction.
 
SetUserString 
Attach a user string (key,value combination) to this geometry.
(Inherited from GeometryBase.)  
ShortPath 
Constructs a geodesic between 2 points, used by ShortPath command in Rhino.
 
Smooth(Double, Boolean, Boolean, Boolean, Boolean, SmoothingCoordinateSystem) 
Smooths a surface by averaging the positions of control points in a specified region.
 
Smooth(Double, Boolean, Boolean, Boolean, Boolean, SmoothingCoordinateSystem, Plane) 
Smooths a surface by averaging the positions of control points in a specified region.
 
SpanCount 
Gets number of smooth nonempty spans in the parameter direction.
 
Split 
Splits (divides) the surface into two parts at the specified parameter
 
ToBrep 
Converts the surface into a Brep.
 
ToNurbsSurface 
Gets a NURBS surface representation of this surface. Default
tolerance of 0.0 is used.
 
ToNurbsSurface(Double, Int32) 
Gets a NURBS surface representation of this surface.
 
ToString  (Inherited from Object.)  
Transform 
Transforms the geometry. If the input Transform has a SimilarityType of
OrientationReversing, you may want to consider flipping the transformed
geometry after calling this function when it makes sense. For example,
you may want to call Flip() on a Brep after transforming it.
(Inherited from GeometryBase.)  
Translate(Vector3d)  Translates the object along the specified vector. (Inherited from GeometryBase.)  
Translate(Double, Double, Double)  Translates the object along the specified vector. (Inherited from GeometryBase.)  
Transpose 
Transposes surface parameterization (swap U and V)
 
Transpose(Boolean) 
Transposes surface parameterization (swap U and V)
 
Trim 
Constructs a subsurface that covers the specified UV trimming domain.
 
TryGetCone(Cone)  Tests a surface to see if it is a portion of a cone within RhinoMath.ZeroTolerance and return the cone.  
TryGetCone(Cone, Double)  Tests a surface to see if it is a portion of a cone and returns the cone.  
TryGetCylinder(Cylinder)  Tests a surface to see if it is a portion of a cylinder within RhinoMath.ZeroTolerance and return the cylinder.  
TryGetCylinder(Cylinder, Double)  Tests a surface to see if it is a portion of a cylinder and return the infinite cylinder.  
TryGetFiniteCylinder  Tests a surface with the assumption that it might be a right circular cylinder and returns this geometry.  
TryGetPlane(Plane)  Tests a surface for planarity and return the plane.  
TryGetPlane(Plane, Double)  Tests a surface for planarity and return the plane.  
TryGetSphere(Sphere)  Test a surface to see if it is a portion of a sphere and return the sphere.  
TryGetSphere(Sphere, Double)  Test a surface to see if it is a portion of a sphere and return the sphere.  
TryGetTorus(Torus)  Tests a surface to see if it is a portion of a torus within RhinoMath.ZeroTolerance and returns the torus.  
TryGetTorus(Torus, Double)  Tests a surface to see if it is a portion of a torus and returns the torus. 