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  • General_Information
    • C3D Toolkit
    • Structure and Distinctive Features
    • C3D API
    • Functionality
    • Theoretical Foundations
  • Quick Start
    • Package
    • Test Application
    • Development in the .NET Environment
  • C3D Modeler
    • METHODS USED TO BODIES CONSTRUCTING
      • Constructing an Elementary Body
        • Constructing an Elementary Body Based on Control Points
        • Constructing an Elementary Body by a Given Surface
      • Constructing an Extrusion Body
      • Constructing a Revolution Body
      • Constructing a Body by Sections
        • Constructing a Body by Planar Sections
      • Creating a Body by a Specified Set of Faces or a Shell
      • Constructing an Open Body Based on a Surface
      • Constructing a Ruled Body
      • Constructing a Body from a Curve Grid
      • Constructing a Patch
      • Stiching Body Faces
      • Construction of Body Based on Curves or Curve Points
        • Construction of Body Based on Curves
        • Construction of Body Based on Curve Points
      • Construction of Equidistant Body
      • Extension of Body Face
      • Constructing an Ingot Body from Given Objects
      • Constructing a Body Based on a Polygonal Model
    • OPERATIONS ON BODIES
      • Boolean Operation on Bodies
      • Boolean Operation on Extrusion Body
      • Boolean Operation on Revolution Body
      • Boolean Operation with Kinematic Body
      • Boolean Operation with a Body Constructed on the Basis of Planar Sections
      • Cutting a Body into Parts
        • Cutting a Body by a Flat Contour
        • Cutting a Body by a Surface
        • Cutting a Body by a Shell
      • Constructing a Symmetrical Body
      • Rounding Off Body Vertices and Edges
        • Rounding Edges with a Constant Radius
        • Rounding Edges with a Variable Radius
        • Rounding Vertices and Adjacent Edges with a Constant Radius
      • Constructing a Body with Edge Chamfers
      • Constructing a Thin-Wall Body
      • Constructing a Thin-Wall Body with Various Wall Thickness
      • Constructing a Body by Thickening the Surface
      • Boolean Operation on a Body and a Set of Bodies
      • Merging a Set of Bodies
      • Splitting Body Faces
      • Constructing a Hole, Pocket or Slot in a Body
      • Constructing a Body with an Enforcement Rib
      • Face Body Sloping
      • Multiplication of Body
      • Dividing a shell into parts using a given set of edges
    • TWO-DIMENSIONAL CURVE CONSTRUCTION METHODS
      • Constructing a Two-Dimensional Straight Line/Segment
      • Constructing a Two-Dimensional Circle, Ellipse and their Arcs
      • Constructing Two-Dimensional NURBS Curve
      • Constructing a Regular Polygon
      • Constructing Two-Dimensional Cosine Wave
      • Constructing Two-Dimensional Compound Curve
      • Constructing Surface and Plane Intersection Curves
      • Constructing a Two-Dimensional Face Edge Curve
      • Projecting a Curve onto a Surface
    • CURVE CONSTRUCTION METHODS
      • Constructing a Line and a Segment
      • Constructing a Circle, an Ellipse, and Their Arcs
      • Construction of a Regular Polygon
      • Constructing a Compound Curve
      • Curve Extension
      • Wireframe Extension
    • SURFACE CONSTRUCTION METHODS
      • Elementary Surface Construction
      • NURBS Surface Construction
      • Construction of an extrusion surface
      • Construction of a Revolution Surface
      • Construction of a Surface Based on a Curve Grid
      • Construction of a Surface with Arbitrary Borders
    • DIRECT MODELING METHODS
      • Constructing a Modified Solid
      • Constructing a Deformable Body
      • Constructing a Deformable Block
      • Constructing a Smoothed Surface
      • Constructing a Transformed Body
    • SHEET METAL BODY CONSTRUCTION METHODS
      • Constructing a Sheet Body
      • Pairing Sheet Body Bends
      • Checking Whether a Face Can Be Fixed
      • Searching for Faces for a Curve
      • Searching for a Sheet Body Face
      • Searching for a Mate Face of a Sheet Body Bend
      • Searching for a Flat Sheet Body Face
      • Searching for a Mate Face in a Sheet Body
      • Determining the Distance Between Similar Faces
      • Searching for Similar Bends
      • Searching for a Tangency Point in a Sheet Body Bend
      • Searching for a Bend Centerline
    • AUXILIARY METHODS
      • Calculating the Depth of an Extrusion Body or the Angle of a Revolution Body
      • Determining the Curve Image for Extrusion or Rotation
      • Determining Extrusion or Rotation Parameters
      • Determining the Orientation of the Generatrix
      • Determining the Orientation of the Cutting Surface
      • Orientation of Сurves of a Swept Body
      • Copying the Guiding Curve of a Sweep Body
      • Constructing a rib
      • Checking a Curve for Ruled Body Construction
      • Checking Curve Parameters for Constructing a Ruled Body
      • Checking a Curve for Joint Body Construction
      • Checking Curve Parameters for Joint Body Construction
      • Constructing a Curve from a Set of Edges
      • Determining Curve Crossing Points
    • ELEMENTARY OBJECTS
      • Vector in three-dimensional space MbVector3D
      • Radius Vector of a Point in Three-Dimensional Space MbCartPoint3D
      • Homogeneous Vector in Three-Dimensional Space MbHomogenius3D
      • Local Coordinate System MbPlacement3D
      • Extended Matrix in Three-Dimensional Space MbMatrix3D
      • Bounding Box in Three-Dimensional Space MbCube
      • MbRect1D Univariate Dimension
      • MbVector in Two-Dimensional Space
      • MbDirection Normalized Vector in Two-Dimensional Space
      • Point Radius Vector in Two-Dimensional Space MbCartPoint
      • Homogeneous Vector in Two-Dimensional Space MbHomogeneous
      • Local Coordinate System MbPlacement
      • Extended Matrix in Two-Dimensional Space MbMatrix
      • Bounding Rectangle in Two-Dimensional Space MbRect
    • GEOMETRICAL OBJECTS
      • MbRefItem Reference Counter
      • Three-Dimensional Geometric Object MbSpaceItem
      • Topological Object MbTopItem
      • Two-Dimensional Geometric Object MbPlaneItem
    • TWO-DIMENSIONAL CURVES
      • Two-Dimensional Line MbLine
      • Two-Dimensional Line Segment MbLineSegment
      • MbPointCurve Two-Dimensional Curve-Point
      • Two-Dimensional Projection Curve MbProjCurve
      • Two-Dimensional Contour MbContour
    • CURVES
      • MbCurve3D Curve
      • MbLine3D Straight Line
      • MbLineSegment3D Straight-Line Segment
      • MbArc3D Elliptical Arc
      • Polyline MbPolyline3D
      • MbNurbs3D NURBS Curve
      • MbHermit3D Hermite Curve
      • MbBezier3D Bezier Composite Curve
      • Cubic Spline MbCubicSpline3D
      • Trimmed Curve MbTrimmedCurve3D
      • Reparametrized Curve MbReparamCurve3D
      • Equidistant Curve MbOffsetCurve3D
      • MbCharacterCurve3D Character Curve
      • MbConeSpiral Conical Spiral
      • MbCurveSpiral Variable Radius Spiral
      • MbCrookedSpiral Spiral with Curved Planar Axis
      • MbBridgeCurve3D Bridge Curve
      • MbContour3D Contour
      • MbPlaneCurve Plane Curve
      • MbSurfaceCurve Curve on Surface
      • MbSilhouetteCurve Silhouette Curve
      • MbContourOnSurface Contour on Surface
      • MbContourOnPlane Contour on Plane
      • MbSurfaceIntersectionCurve Surface Intersection Curve
    • SURFACES
      • MbSurface Surface
      • MbPlane Plane
      • MbCylinderSurface Cylindrical Surface
      • MbConeSurface Conical Surface
      • MbSphereSurface Spherical Surface
      • MbTorusSurface Toroidal Surface
      • MbExtrusionSurface Extrusion Surface
      • MbRevolutionSurface Revolution Surface
      • MbExpansionSurface Motion Surface
      • MbSpiralSurface Spiral Surface
      • MbEvolutionSurface Swept Surface
      • MbExactionSurface Swept Surface with Adaptation
      • MbSectorSurface Sectorial Surface
      • MbRuledSurface Ruled Surface
      • MbLoftedSurface Surface Based on a Family of Curves
      • MbElevationSurface Surface Based on a Family of Curves And a Guiding Curve
      • MbCornerSurface Surface Based on Three Curves
      • MbCoverSurface Coons Surface
      • MbCoonsPatchSurface Coons Surface
      • MbMeshSurface Surface Based on a Network of Curves
      • MbJoinSurface Joint Surface
      • MbSplineSurface NURBS Surface
      • MbOffsetSurface Equidistant Surface
      • MbChamferSurface Chamfer Surface
      • MbFilletSurface Fillet Surface
      • MbChannelSurface Fillet Surface
      • MbCurveBoundedSurface Surface with Arbitrary Borders
    • SPECIAL OBJECTS
      • MbFunction Function
      • MbConstFunction Constant Function
      • MbLineFunction Linear Function
      • MbCubicFunction Cubic Hermite Function
      • MbCubicSplineFunction Cubic Spline Function
      • MdCharacterFunction Character Function
      • Multiline MbMultiline
      • MbContourWithBreaks Two-Dimensional Contour with Breaks
      • MbRegion Region
      • MbLegend Auxiliary Geometric Object
      • MbMarker Marker
      • MbThread Thread Graphic Symbol
      • MbPointsSymbol Symbol
      • MbRough Surface Finish Symbol
      • MbLeader Leader Line Symbol
    • TOPOLOGICAL OBJECTS
      • MbTopologyItem Topological Object
      • MbFace Face
      • MbEdge Edge
      • MbVertex Vertex
      • MbCurveEdge Face Edge
      • MbLoop Face Cycle
      • MbOrientedEdge Oriented Face Edge
      • MbFaceShell Set of Faces
      • Copying a Set of Faces MbFaceShell
      • Naming of Faces, Edges and Vertices
      • Operation Principles of Change Flags of Topological Objects
    • OBJECTS OF GEOMETRIC MODEL
      • MbItem Geometric Model Object
      • MbSolid Solid Body
      • MbWireFrame Wireframe
      • MbPointFrame Point Frame
      • MbMesh Polygonal Object
      • MbInstance Insertion
      • MbAssembly Assembly Unit
      • MbSpaceInstance Three-Dimensional Object Insertion
      • MbPlaneInstance Two-Dimensional Object Insertion
      • MbAssistingItem Auxiliary Object
      • MbPolymesh Polygonal Object with Topology
    • MULTITHREADING
      • Thread-Safety of Kernel Objects
      • Multithreaded Caches Implementation
        • Cache Manager CacheManager
        • Base Cached Data Class AuxiliaryData
      • Garbage Collection in Cache Manager
        • Base Class for Objects that Require Garbage Collection
        • Class MbGarbageCollection
      • Kernel Multithreading Modes
      • Synchronization Objects
        • Locks
        • Base Synchronization Objects
      • Support of Multithreading in User Application
        • Protection of Parallel Code in User Application
        • The Examples of Notifying the Kernel about its Use in Parallel Computing
        • Quick Reference on Organizing Parallel cComputing Using C3D Interfaces
    • FORMAT C3D
      • Format for Storing Geometric Model
        • Notions and Terms
        • Geometric Model Serialization
        • Compact Format C3D
        • Extended Format C3D
        • Model Table of Contents
        • Working with Embodiments
      • Read and Write Streaming Objects
        • Base Class for Read and Write Streams
        • Write Streams
        • Read Streams
        • Scoped Progress Indicator for Reading Classes
        • Read-Write Stream
        • Model Tree
        • Streaming Objects
        • Modes of Streaming Operations
        • Stream States
      • Working with Streaming Buffer
        • Cluster
        • File Space
        • Read/write Position
        • Streaming Sequential Buffer
        • Streaming Buffer with Arbitrary Access
        • Memory Streaming Buffer
        • Reading and Writing Memory Buffer
      • Version Container
    • ATTRIBUTES
      • MbVisual Attribute Class for Storing Optical Properties of Geometric Objects for Display Properties
    • CONSTRUCTING TRIANGULATION
      • Triangulation Calculation Control
      • Constructing a Polygonal Object
      • Adding a Polygonal Object
      • Constructing Polygons for an Object
      • Constructing Triangulation for a Face
      • Constructing Triangulation for a Body
      • Constructing Polygonal Objects for a Set of Bodies
    • CONSTRUCTING FLAT PROJECTIONS
      • Data Required to Construct Flat Projections
      • Constructing Model Flat Projection
      • Constructing Polygonal Projections of Bodies
      • Constructing a Triangulation Outline
    • CALCULATION OF INERTIAL CHARACTERISTICS
      • Inertial Characteristics of a Model
      • Inertial Body Characteristics
      • Inertial Characteristics for a Set of Bodies
      • Inertial Characteristics of a Model
      • Surface Area Calculation
      • Solid Volume Calculation
  • C3D B-Shaper
    • Automatic Shell Recognition Mode by Polygon Mesh
    • MbMeshProcessor Class – Shell Creation
    • Recognition Tolerance
    • Polygon Mesh Segmentation Editing
    • Surface Reconstruction on a Segment
  • C3D PolyShaper
    • Features of Implementing a Doubly Linked List of Edges
    • Mesh Iterators
    • Segmentation and Segmentation Iterators
    • The Topology of the MbPolymeshTopo Polygon Object
      • General Purpose Methods
      • Methods for Working with the Mesh
      • Methods for Working with Segmentation
      • Methods for Working With Mesh and Segmentation Attributes
    • Mesh and Segmentation Attributes
    • Edge-Dependent Attributes
  • C3D Collision Detection
    • Detecting the Intersection of Two Bodies
    • Determining Collisions in the Set of Bodies
    • Collision Detection Queries
    • Configuring a Collision Detection Query
    • Grouping Bodies Included in the Control Set
  • C3D Solver
    • TWO-DIMENSIONAL GEOMETRIC SOLVER
      • Assignment of GCE Geometric Solver
      • Embedding in an Application
      • Supported Geometry Types
      • Types of Geometric Constraints and Dimensions
      • Basic Data Types of GCE Solver API
      • Geometric Constraint System
      • Representation of Geometric Objects
      • Degrees of Freedom
      • Add and Delete Geometric Objects
      • Fixing and Freezing Geometric Objects
      • Geometric Object Control Points
      • Scalar Variables
      • Linear Equation
      • API Call Journalling
      • Callback functions
    • TWO-DIMENSIONAL DIMENSIONS
      • Auxiliary Points of Distance Dimension
      • Driving and Variational Dimensions
      • Zero Dimensions and Signed Dimensions
      • Distance Dimension
      • Directed Distance Dimension
      • Distance From a Point to a Segment
      • Angular Dimensions
      • Angular Dimension Based on 3 or 4 Points
      • Radial and Diameter Dimensions
    • TWO-DIMENSIONAL LOGICAL CONSTRAINTS
      • Coincidence of a Point and Other Object
      • Alignment of Points
      • Parallelism/Perpendicularity
      • Collinearity
      • Equal Curve Properties
      • Unary Constraints: Horizontality/Verticality and Fixing Variants
      • Length Fixing
      • Radius Fixing
      • Angular Position Constraint
      • Tangency
      • Multiple and End Tangencies
      • Mirror Symmetry
      • Bisector
      • Middle Point
      • Mutual Object Positioning
    • CALCULATION OF TWO-DIMENSIONAL CONSTRAINTS
      • Calculating the Constraint System
      • Changing or Requesting the Geometry State
      • Initial Approximation
      • Underdefined Constraint Systems
      • Degrees of Freedom Analysis
      • Information Requests
      • Dragging of Geometric Objects
      • Geometric Transformation
      • Redundancy Test
    • TWO-DIMENSIONAL SPLINES AND PARAMETRIC CURVES
      • Spline Curves
      • General Parametric Curves
      • Constraints Based on Parametric Curves
    • THREE-DIMENSIONAL GEOMETRIC SOLVER
      • Terms and Definitions
      • Assigning the GCE geometric solver
      • Embedding the GCM component into an application
      • Supported geometry types
      • Supported constraint types
      • Basic data types of GCM solver API
      • Geometric constraint system
      • Representation of geometric objects
      • Adding and deleting geometric objects
      • Adding and deleting geometric restrictions
      • GCM_alignment option
      • Geometric scene clustering, assembly modeling
      • Evaluating the constraint system
      • Diagnostic codes of a solution
      • Driving dimensions
      • Journalling API calls of the GCM solver
  • C3D Converter
    • Converter Operation Principles
    • How to Work with the Converter
    • Exchange Format Features
    • IConvertorProperty3D Converter Property
    • ItModelDocument Model Document
    • IProgressIndicator Progress Indicator
    • Model Tree Architecture
    • Product Attributes
    • Model Configuration Import
    • C3D Converter Plugins
    • IFC Import
    • Import of Construction Format Metadata
    • Auxiliary Converter Methods
    • Creating a Solid from User Objects
  • Reference Materials
    • Operation Result Codes
      • MbResultType Enumeration
      • MbeStitchResType Enumeration
    • Blend Surface Construction Methods (Fillet or Chamfer)
  • C3D Modeler
  • AUXILIARY METHODS
  • View page source

AUXILIARY METHODS

For constructing solids, parameters are required which in some cases must be calculated, as well as auxiliary elements. In this section, the functions that perform auxiliary calculations and constructions are listed.

  • Calculating the Depth of an Extrusion Body or the Angle of a Revolution Body
  • Determining the Curve Image for Extrusion or Rotation
  • Determining Extrusion or Rotation Parameters
  • Determining the Orientation of the Generatrix
  • Determining the Orientation of the Cutting Surface
  • Orientation of Сurves of a Swept Body
  • Copying the Guiding Curve of a Sweep Body
  • Constructing a rib
  • Checking a Curve for Ruled Body Construction
  • Checking Curve Parameters for Constructing a Ruled Body
  • Checking a Curve for Joint Body Construction
  • Checking Curve Parameters for Joint Body Construction
  • Constructing a Curve from a Set of Edges
  • Determining Curve Crossing Points
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