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IMathTransform Interface

Provides a simplified interface for manipulating transformation matrix data.

.NET Syntax

Visual Basic (Declaration) 
Public Interface IMathTransform
Visual Basic (Usage) 
Dim instance As IMathTransform
C# 
public interface IMathTransform
C++/CLI 
public interface class IMathTransform

Example

Remarks

Transformation matrix data:

   |a b c . n |

    |d e f . o |

    |g h i . p |

    |j k l . m |

The SOLIDWORKS transformation matrix is stored as a homogeneous matrix of 16 elements, ordered as shown. The first 9 elements (a to i) are elements of a 3x3 rotational sub-matrix, the next 3 elements (j,k,l) define a translation vector, and the next 1 element (m) is a scaling factor. The last 3 elements (n,o,p) are unused in this context.

The 3x3 rotational sub-matrix represents 3 axis sets:

  • row 1 for x-axis components of rotation
  • row 2 for y-axis components of rotation
  • row 3 for z-axis components of rotation

The 3 axes are constrained to be orthogonal and unified so that they produce a pure rotational transformation. Reflections can also be added to these axes by setting the components to negative. The rotation sub-matrix coupled with the lower-left translation vector and the lower-right corner scaling factor creates an affine transformation, which is a transformation that preserves lines and parallelism; i.e., maps parallel lines to parallel lines.

If the 3 axis sets of the 3x3 rotational sub-matrix are not orthogonal or unified, then they are automatically corrected according to the following rules:

  • If any axis is 0, or any two axes are parallel, or all axes are coplanar, then an identity matrix replaces the rotational sub-matrix.

  • All axes are corrected to be of unit length.

  • The axes are built to be orthogonal to each other in the prioritized order of Z, X, Y (X is orthogonal to Z, Y is orthogonal to Z and X).

Accessors

IAnnotation::GetFipPlaneTransform

IBody2::GetCoincidenceTransform

IBody2::GetOriginalPatternedBody

ICircularPatternFeatureData::GetTransform

ICollision::GetTransforms

ICollisionDetectionGroup::GetTransforms

IComponent2::GetSpecificTransform

IComponent2::GetTotalTransform

IComponent2::PresentationTransform

IComponent2::Transform2

ICosmeticThreadFeatureData::IGetPatternedTransforms

ICosmeticThreadFeatureData::PatternedTransforms

ICThread::IGetPatternedTransforms

ICThread::PatternedTransforms

ICurveDrivenPatternFeatureData::GetTransform

IDerivedPatternFeatureData::GetTransform

IDisplayDimension::GetDefinitionTransform

IInterferenceDetectionMgr::GetComponentsAndTransforms

ILinearPatternFeatureData::GetTransform

ILocalCircularPatternFeatureData::GetTransform

ILocalCurvePatternFeatureData::GetTransform

ILocalLinearPatternFeatureData::GetTransform

ILocalSketchPatternFeatureData::GetTransform

IMacroFeatureData::FeatureTransform

IMacroFeatureData::GetEditTargetTransform

IMacroFeatureData::GetSelections3 and IMacroFeatureData::IGetSelections3

IMacroFeatureData::PatternTransform

IMathTransform::Inverse and IMathTransform::IInverse

IMathTransform::Multiply and IMathTransform::IMultiply

IMathUtility::ComposeTransform

IMathUtility::CreateTransform and IMathUtility::ICreateTransform

IMathUtility::CreateTransformRotateAxis and IMathUtility::ICreateTransformRotateAxis

IMirrorPartFeatureData::GetTransform

IMirrorSolidFeatureData::GetTransform

IModelDocExtension::GetCoordinateSystemTransformByName

IModelView::Orientation3

IModelView::Transform

IRefPlane::Transform

ISectionViewData::GetDynamicCenterTransform

ISketch::ModelToSketchTransform

ISketchBlockInstance::BlockToSketchTransform

ISketchPatternFeatureData::GetTransform

ITablePatternFeatureData::GetTransform

IView::ModelToViewTransform

IView3D::Rotation

Access Diagram

See Also



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