- •User’s Manual
- •COPYRIGHT
- •TRADEMARKS
- •LICENSE AGREEMENT
- •WARRANTY
- •DOCUMENT CONVENTIONS
- •What is TracePro?
- •Why Solid Modeling?
- •How Does TracePro Implement Solid Modeling?
- •Why Monte Carlo Ray Tracing?
- •The TracePro Graphical User Interface
- •Model Window
- •Multiple Models in Multiple Views
- •System Tree Window
- •System Tree Selection
- •Context Sensitive Menus
- •Model Window Popup Menus
- •System Tree Popup Menus
- •User Defaults
- •Objects and Surfaces
- •Changing the Names
- •Selecting Objects, Surfaces and Edges
- •Moving Objects and Other Manipulations
- •Interactive Viewing and Editing
- •Normal and Up Vectors
- •Modeling Properties
- •Applying Properties
- •Modeless Dialog Boxes
- •Expression Evaluator
- •Context Sensitive OnLine Help
- •Command Line Arguments
- •Increasing Access to RAM on 32-bit Operating Systems
- •Chinese Translations for TracePro Dialogs
- •Introduction to Solid Modeling
- •Model Units
- •Position and Rotation
- •Defining Primitive Solid Objects
- •Block
- •Cylinder/Cone
- •Torus
- •Sphere
- •Thin Sheet
- •Rubberband Primitives
- •Defining TracePro Solids
- •Lens Element
- •Lens tab
- •Aperture tab
- •Obstruction tab
- •Position tab
- •Aspheric tab
- •Fresnel Lens
- •Reflector
- •Conic
- •3D Compound
- •Parabolic Concentrators
- •Trough (Cylinder)
- •Compound Trough
- •Rectangular Concentrator
- •Facetted Rim Ray
- •Tube
- •Baffle Vane
- •Boolean Operations
- •Intersect
- •Subtract
- •Unite
- •Moving, Rotating, and Scaling Objects
- •Translate
- •Move
- •Rotate
- •Scale
- •Orientation
- •Sweeping and Revolving Surfaces
- •Sweep
- •Revolve
- •Notes Editor
- •Importing and Exporting Files
- •Exchanging Files with Other ACIS-based Software
- •Importing an ACIS File
- •Exporting an ACIS File
- •Stereo Lithography (*.STL) Files
- •Additional CAD Translators (Option)
- •Plot formats for model files
- •Healing Imported Data
- •How to Autoheal an Object
- •How to Manually Heal an Object
- •Reverse Surfaces (and Surface Normal)
- •Combine
- •Lens Design Files
- •Merging Files
- •Inserting Files
- •Changing the Model View
- •Silhouette Accuracy
- •Zooming
- •Panning
- •Rotating the View
- •Named Views
- •Previous View
- •Controlling the Appearance of Objects
- •Display Object
- •Display All
- •Display Object WCS
- •Display RepTile
- •Display Importance
- •Customize and Preferences
- •Preferences
- •Customize
- •Changing Colors
- •Overview
- •What is a property?
- •Define or Apply Properties
- •Property Editors
- •Toolbars and Menus
- •Command Panel
- •Information Panel
- •Grid Panel
- •Material Properties
- •Material Catalogs
- •Material Property Database
- •Create a new material property
- •Editing an existing material property
- •Exporting a material property
- •Importing a Material Property
- •Bulk Absorption
- •Birefringence
- •Bulk Scatter Properties
- •Bulk Scatter Property Editor
- •Import/Export
- •Scatter DLL
- •Fluorescence Properties
- •Defining Fluorescence Properties
- •Fluorescence Calculations
- •Fluorescence Ray Trace
- •Raytrace Options
- •Surface Source Properties
- •Surface Source Property Editor
- •Create a New Surface Source Property
- •Edit an Existing Surface Source Property
- •Export a Surface Source Property
- •Import a Surface Source Property
- •Gradient Index Properties
- •Gradient Index Property Editor
- •Create a New Gradient Index Property
- •Edit an Existing Gradient Index Property
- •Export a Gradient Index Property
- •Import a Gradient Index Property
- •Surface Properties
- •Using the Surface Property Database
- •Using the Surface Property Editor
- •Using Solve for
- •Direction-Sensitive Properties
- •Creating a new surface property
- •Editing an Existing Surface Property
- •Exporting a Surface Property
- •Importing a Surface Property
- •Surface Property Plot Tab
- •Incident Medium
- •Substrate Medium
- •by angle (deg)
- •by wavelength (um)
- •Display Values
- •Table BSDF
- •Creating a Table BSDF Property
- •Creating an Asymmetric Table BSDF Property
- •Using an Asymmetric Table BSDF property
- •Wire Grid Polarizers
- •Upgrading an older property database
- •Applying Wire-Grid Surface Properties
- •Thin Film Stacks
- •Using the Stack Editor
- •Thin Film Stack Editing Note
- •Entering a Single Layer Stack
- •RepTile Surfaces
- •Overview
- •Specifying a RepTile surface
- •RepTile Shapes
- •RepTile Geometries
- •RepTile Parameterization
- •Variables
- •Parameterized Input Fields
- •Decentering RepTile Geometry
- •Property Database Tools
- •Import
- •Export
- •Using Properties
- •Limitations in Pre-Defined Property Data
- •Applying Property Data
- •Material Properties
- •Material Catalogs
- •Applying Material Properties
- •Applying Birefringent Material Properties
- •Bulk Scattering
- •Fluorescence Properties
- •Applying Fluorescence Properties
- •Gradient Index Properties
- •Surface Properties
- •Using the Surface Property Database
- •Surface Source Properties
- •Blackbody Surface Sources
- •Blackbody and Graybody Calculations
- •Source Spreadsheet
- •Scaling the Total Rays for Several Sources
- •Prescription
- •Color
- •Importance Sampling
- •Defining Importance Sampling Targets (Manually)
- •Adding Targets
- •Number of Importance Rays
- •Shape, Dimensions, and Location of Importance Targets
- •Cells
- •Apply the Importance Sampling Property
- •Automatic Setup of Importance Sampling
- •Define the Prescription
- •Select the Target Shape
- •Apply, Cancel, or Save Targets
- •Editing/Deleting Importance Sampling Targets
- •Exit Surface
- •Predefined irradiance map orientation
- •Diffraction
- •Defining Diffraction in TracePro
- •Do I need to Model Diffraction in TracePro?
- •How do I Set Up Diffraction?
- •Using the Raytrace Flag
- •Mueller Matrix
- •Temperature
- •Class and User Data
- •RepTile Surfaces
- •Overview
- •Specifying a RepTile surface
- •Boundary Shapes
- •Export
- •Visualization and Surface Properties
- •Specifying a RepTile Texture File Surface
- •Bump Designation for Textured RepTile
- •Base Plane Designation for Textured RepTile
- •Temperature Distribution
- •Introduction to Ray Tracing
- •Combining Sources
- •Managing Sources with the System Tree
- •Managing Sources with the Source/Wavelength Selector
- •Defining Sources
- •Grid Sources
- •Setting Up the Grid
- •Grid Density: Points/Rings
- •Beam Setup
- •Wavelengths
- •Polarization
- •Surface Sources
- •Importance Sampling from Surface Sources
- •File Sources
- •Creating a File Source from Radiant Imaging Data
- •Creating a File Source from an Incident Ray Table
- •Creating a File Source from Theoretical or Measured Data
- •Insert Source
- •Capability to “trace every nth ray”
- •Capability to scale flux
- •Modify the File Source
- •Orienting and Selecting Sources
- •Multi-Selecting Sources
- •Move and Rotate Dialogs
- •Tracing Rays
- •Standard (Forward) Raytrace
- •Reverse Ray Tracing
- •Specifying reverse rays
- •Theory of reverse ray tracing
- •Luminance/Radiance Ray Tracing
- •Raytrace Options
- •Options
- •Analysis Units
- •Ray Splitting
- •Specular Rays Only
- •Importance Sampling
- •Aperture Diffraction and Aperture Diffraction Distance
- •Random Rays
- •Fluorescence
- •Polarization
- •Detect Ray Starting in Bodies
- •Random Seed
- •Wavelengths
- •Thresholds
- •Simulation and Output
- •Collect Exit Surface Data
- •Collect Candela Data
- •Index file name
- •Save Data to Disk during Raytrace
- •Save Ray History to disk
- •Sort Ray Paths
- •Save Bulk Scatter data to disk
- •Simulation Options for TracePro LC
- •Collect Exit Surface Data
- •Collect Candela Data
- •Advanced Options
- •Voxelization Type
- •Voxel Parameters
- •Raytrace Type
- •Gradient Index Substep Tolerance
- •Maximum Nested Objects
- •Progress Dialog
- •Ray Tracing modes
- •Analysis Mode
- •Saving and Restoring a Ray-Trace
- •Simulation Mode
- •Simulation Dialog
- •Simulation Options
- •Simulation Data for LC
- •Examining Raytrace Results
- •Analysis Menu
- •Display Rays
- •Ray Drawing Options
- •Ray Colors
- •Flux-based ray colors
- •Wavelength-based ray colors
- •Source-based ray colors
- •All rays one color
- •Irradiance Maps
- •Irradiance Map Options
- •Map Data
- •Display Options
- •Contour Levels
- •Access to Irradiance Data
- •Ensquared Flux
- •Luminance/Radiance Maps
- •3D Irradiance Plot
- •Candela Plots
- •Candela Options
- •Orientation and Rays
- •Polar Iso-Candela
- •Rectangular Iso-Candela
- •Candela Distributions
- •IESNA and Eulumdat formats
- •Access to Candela/Intensity Data
- •Enclosed Flux
- •Polarization Maps
- •Polarization Options
- •Save Polarization Data
- •OPL/Time-of-flight plot
- •OPL/Time-of-flight plot options
- •Incident Ray Table
- •Copying and Pasting the Incident Ray Table Data
- •Saving the Incident Ray Table in a File
- •Saving the Incident Ray Table as a Source File
- •Display Selected Rays
- •Source Files - Binary file format
- •Ray Histories
- •Copying and Pasting the Ray History Table Data
- •Saving the Ray History Table in a File
- •Ray Sorting
- •Ray Sorting Examples
- •Reports Menu
- •Flux Report
- •Property Data Report
- •Raytrace Report
- •Saving and Restoring a Raytrace
- •Tools Menu
- •Audit
- •Delete Raydata Memory
- •Collect Volume Flux
- •Overview
- •View Volume Flux
- •Overview
- •Flux Type
- •Normal Axis/Orientation
- •Slices
- •Color Map
- •Gradient
- •Logarithmic
- •Simulation File Manager
- •Irradiance/Illuminance Viewer
- •Overview
- •Viewing a saved Irradiance/Illuminance Map
- •Irradiance/Illuminance Viewer Options
- •Adding and Subtracting Irradiance/Illuminance Maps
- •Measurement Dialog
- •Introduction
- •The Use of Ray Splitting in Monte Carlo Simulation
- •Importance Sampling
- •Importance Sampling and Random Rays
- •When Do I Need Importance Sampling?
- •How to Choose Importance Sampling Targets
- •Importance Sampling Example
- •Material Properties
- •Material Property Database
- •Material Property Interpolation
- •Gradient Index Profile Polynomials
- •Complex Index of Refraction
- •Surface Properties
- •Coincident Surfaces
- •BSDF
- •Harvey-Shack BSDF
- •ABg BSDF Model
- •BRDF, BTDF, and TS
- •Elliptical BSDF
- •What is an elliptical BSDF?
- •Elliptical ABg BSDF model
- •Elliptical Gaussian BSDF
- •Calculation of Fresnel coefficients during raytrace
- •Anisotropic Surface Properties
- •Anisotropic surface types
- •Getting anisotropic data
- •User Defined Surface Properties
- •Overview
- •Creating a Surface Property DLL
- •Create the Surface Property
- •Apply Surface Property
- •API Specification for Enhanced Coating DLL
- •Document Layout
- •Calling Frequencies
- •Return Codes, Signals, and Constants -- TraceProDLL.h
- •Description of Return Codes
- •Function: fnInitDll
- •Function: fnEvaluateCoating
- •Function: fnAnnounceOMLPath
- •Function: fnAnnounceDataDirectory
- •Function: fnAnnounceSurfaceInfo
- •Function: fnAnnounceLocalBoundingBox
- •Function: fnAnnounceRaytraceStart
- •Function: fnAnnounceWavelengthStart
- •Function: fnAnnounceWavelengthFinish
- •Function: fnAnnounceRaytraceFinish
- •Example of Enhanced Coating DLL
- •Surface Source Properties
- •Spectral types
- •Rectangular
- •Gaussian
- •Solar
- •Table
- •Angular Types
- •Lambertian
- •Uniform
- •Gaussian
- •Solar
- •Table
- •Mueller Matrices and Stokes Vectors
- •Bulk Scattering
- •Henyey-Greenstein Phase Function
- •Gegenbauer Phase Function
- •Scattering Coefficient
- •Using Bulk Scattering in TracePro
- •User Defined Bulk Scatter
- •Using Scatter DLLs
- •Required DLL Functions called from TracePro
- •Common Arguments passed from TracePro
- •DLL Export Definitions
- •Non-Uniform Temperature Distributions
- •Overview
- •Distribution Types
- •Rectangular Coordinates
- •Circular Coordinates
- •Cylindrical Coordinates
- •Defining Temperature Distributions
- •Format for Temperature Distribution Storage Files
- •Type 0: Rectangular with Interpolated Points
- •Type 1: Rectangular with Polynomial Distribution
- •Type 2: Circular with Interpolated Points
- •Type 3: Circular with Polynomial Distribution
- •Type 4: Cylinder with Interpolated Points
- •Type 5: Cylinder with Polynomial Distribution
- •Polynomial Approximations of Temperature Distributions
- •Interpretation of Polar Iso-Candela Plots
- •Property Import/Export Formats
- •Material Property Format
- •Surface Property Format
- •Surface Data Columns
- •Grating Data Columns
- •Stack Property Format
- •Gradient Index Property Format
- •Gradient Index Data Columns (non-GRADIUM types)
- •Gradient Index Data Columns (GRADIUM (Buchdahl) type)
- •Gradient Index Data Columns (GRADIUM (Sellmeier) type)
- •Bulk Scatter Property Format
- •Fluorescence Property Format
- •Surface Source Property Format
- •RepTile Property Format
- •Texture File Format
- •The Scheme Language
- •Scheme Editor
- •Overview
- •Text Color
- •Macro Recorder
- •Recording States
- •Macro Format and Example
- •Macro Command Examples
- •Running a Macro Command from the Command Line
- •Running a Scheme Program Stored in a File
- •Scheme Commands
- •Creating Solids
- •Create a solid block:
- •Create a solid block named blk1:
- •Create a solid cylinder:
- •Create a solid elliptical cylinder:
- •Create a solid cone:
- •Create a solid elliptical cone:
- •Create a solid torus:
- •Boolean Operations
- •Boolean subtract
- •Boolean unite
- •Boolean intersect
- •Chamfers and blends
- •Macro Programs
- •Accessing TracePro Menu Selections using Scheme
- •For more information on Scheme
- •TracePro DDE Interface
- •Introduction
- •The Service Name
- •The Topic
- •The Item
- •Clipboard Formats
- •TracePro DDE Server
- •Establishing a Conversation
- •Excel 97/2000 Example
- •RepTile Examples
- •Fresnel lens
- •Conical hole geometry with variable geometry, rectangular tiles and rectangular boundary
- •Parameterized spherical bump geometry with staggered ring tiles
- •Aperture Diffraction Example
- •Applying Importance Sampling to a Diffracting Surface
- •Volume Flux Calculations Example
- •Sweep Surface Example
- •Revolve Surface Example
- •Using Copy with Move/Rotate
- •Example of Orienting and Selecting Sources
- •Creating the TracePro Source Example OML
- •Moving and Rotating the Sources from the Example
- •Anisotropic Surface Property
- •Creating an anisotropic surface property in TracePro
- •Applying an anisotropic surface property to a surface
- •Elliptical BSDF
- •Creating an Elliptical BSDF property
- •Applying an elliptical BSDF surface property to a surface
- •Using TracePro Diffraction Gratings
- •Using Diffraction Gratings in TracePro
- •Ray-tracing a Grating Surface Property
- •Example Using Reverse Ray Tracing
- •Specifying reverse rays
- •Setting importance-sampling targets
- •Tracing Reverse Rays
- •Viewing Analysis Results
- •Example using multiple exit surfaces
- •Example Using Luminance/Radiance Maps
- •Index
Moving, Rotating, and Scaling Objects
4.Press Edit|Boolean|Subtract or click on the Subtract toolbar button to complete the intersection operation.
5.The resulting object will be the successive subtraction of each of the other three objects from the first object.
Unite
The Unite operator takes two or more objects and unites the total volume of the objects to form one single object. If the objects do not overlap, they are still united, in effect tied together. If one object completely encloses another, the result of the unite operation is to effectively delete the smaller object.
You can create a lollipop shape by creating a sphere and a narrow cylinder (a rod) that sticks into the sphere. Then use the unite operator to unite the sphere and the cylinder. After the operation, one object remains which is in the shape of a lollipop.
You can also use the unite operator to attach a baffle vane to a tube. Select Edit|Select|Object or press the Select Object toolbar button, select the tube, shift+select the baffle vane, and then select Edit|Boolean|Unite or press the Unite toolbar button. Remember that once the vane is united with the tube, there is no way to unattach it, unless you do it right away using Edit|Undo.
To use the Unite operator select two or more objects, you must do a multiple selection in TracePro using the Shift or the Ctrl Key. For example, to unite four objects:
1.Select Edit|Select|Object or click the Select Object toolbar button.
2.Select the first object. You may click on the object in the model window or use the system tree.
3.Press and hold the Shift (or Ctrl) key and select the second, third and fourth objects.
4.Press Edit|Boolean|Unite or click on the Unite toolbar button to complete the intersection operation.
5.The resulting object is the total volume of all four objects.
Moving, Rotating, and Scaling Objects
You can move, rotate, and scale an object or group of objects using the
Edit|Object|Translate, Edit|Object|Move, Edit|Object|Rotate, and
Edit|Object|Scale menu items, respectively. Any number of objects can be manipulated as a group. Simply select an object or objects with the mouse, then select the desired menu item. To select an object, click on it with the mouse. To select additional objects, hold down the Ctrl Key and click on them with the mouse, or use the selection tool in rubberband mode to enclose a group of objects in the rubberband rectangle.
All of the dialog boxes are modeless, so you can leave them open to select new objects for moving, rotating, scaling, or to perform other operations. You can rotate, move, or scale object(s) in small increments by leaving the dialog box open, setting the parameters to small values, and repeatedly pressing Apply.
For an example using Move and Rotate to create arrays of objects see the example “Using Copy with Move/Rotate” on page 9.38.
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Creating a Solid Model
Translate
To move a group of one or more objects interactively, select the objects with the mouse, then select Edit|Object|Translate or click on the Translate toolbar button. Using the mouse, press the left mouse button and drag the selection to a new location. Translate moves the object(s) along the plane of the screen, keeping the current depth coordinate - whatever it happens to be in 3D space. The Translate tool will be active until a new tool is selected.
Translate Copy
You can copy the selection by pressing the Ctrl key during the mouse dragging. When the left mouse button is released, new objects will be made from the selected objects and placed at the translated position.
Move
To move a group of one or more objects, select the objects with the mouse, then select Edit|Object|Move to open the Move Selection dialog box. The dialog box contains buttons to choose either Relative, Absolute or Distance along with X, Y, and Z values. You can use the Relative option to move the object relative to its own center, while the Absolute option places the object at the given global coordinates. For example, to move a selected object by 2 units along the z-axis, use Relative movement and set the values as follows:
X Center |
0 |
Y Center |
0 |
Z Center |
2 |
Then press Apply, and the objects move by 2 along the z-axis.
When you select the Absolute option, the dialog will be updated to show the current location of the first object in the selection.
You can also move the selection a desired distance along a vector by selecting the Distance option, with a direction in (X,Y,Z) and distance entered in model units. This is similar to the relative move such that the distance is relative to the objects original position.
FIGURE 2.24 - Move dialog with the distance option selected
When more than one object is selected, the first object selected is moved to the location specified, while the other objects maintain their position relative to the first object.
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Moving, Rotating, and Scaling Objects
Move Copy
Move Copy allows you to make a copy of an object and move it in one operation. This is much more convenient than manually copying the object, where the copied object is superimposed over the original. Move Copy is also a powerful tool for creating arrays of objects, using Move Copy Relative. This is because Move Copy makes a copy of the selected object(s), then moves the original to the coordinates specified. Once you have the X, Y, Z values defined and the object selected, you can repeatedly press the Copy button to make a row of objects, one for each button press. Once the row is completed, you can make an array by selecting the whole row of objects, then pressing Copy again, but with a different direction entered for the X, Y, Z values.
Note: If you apply surface and material properties before you do the Move Copy, the properties will be copied as well, saving you some effort later on.
Rotate
To rotate a group of one or more objects, select the objects with the mouse, then select Edit|Object|Rotate to open the Rotate Selection dialog box. The dialog box contains a rotation angle, an axis about which to rotate and X, Y and Z values to specify a rotation point. A text box allows you to enter a number specifying the angle of rotation. Next to it is a button that enables you to specify whether the units for that angle are in degrees or radians. Rotations follow the right-hand rule.
The default units for rotations are degrees. If you prefer to use radians, press the button labeled in Degrees and it changes to in Radians. The rotation angle will be applied in radians.
Once you have entered the rotation angle, axis for rotation, and the rotation point, press Apply, and the selections are rotated.
Axis and Center of Rotation
FIGURE 2.25 - Rotate Selection Dialog
The Axis combo box has 7 choices to select the axis about which the rotation will take place:
About X |
This is the global x-axis, the vector (1.0, 0.0, 0.0) |
About Y |
This is the global y-axis, the vector (0.0, 1.0, 0.0) |
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Creating a Solid Model
About Z |
This is the global z-axis, the vector (0.0, 0.0, 1.0) |
About Object X |
This is the object's local x-axis, the vector (1.0, 0.0, 0.0) |
|
Use View|Display Object WCS |
About Object Y |
This is the object's local y-axis, the vector (0.0, 1.0, 0.0) |
|
Use View|Display Object WCS |
About Object Z |
This is the object's local z-axis, the vector (0.0, 0.0, 1.0) |
|
Use View|Display Object WCS |
Customize |
This allows any vector in global coordinates to be used for the |
|
axis of rotation |
The first 3 choices are rotations about the Global axis. The next 3 choices are rotations about the object's WCS axis. If more than one object is selected the first object in the selection is used. If Customize is selected, you can specify an arbitrary axis by input X Direction, Y Direction, and Z Direction. Every time you make a selection in the axis combo box the selected axis information is updated in
X Direction, Y Direction, and Z Direction edit boxes.
You can either enter the center point or check Origin of Object WCS which means using the origin of the first selected object's WCS as the center point. At the time you check Origin of Object WCS the origin coordinates of the first selected object are displayed in X Center, Y Center, and Z Center edit boxes. If you wish to use global coordinates, enter numbers specifying the rotation center point. This will be the point around which the selected object will rotate after you click the Apply button in the dialog box.
Rotate Copy
Rotate Copy allows you to make a copy of an object and rotate it in one operation. This is much more convenient than manually copying the object, where the copied object gets superimposed on top of the original. Rotate Copy is also a powerful tool for creating arrays of objects. This is because Rotate Copy makes a copy of the selected object(s), then rotates the original by the values specified. Once you have the rotation values defined and the object(s) selected, you can repeatedly press the Copy button to make a curved row of objects, one object for each button press.
Note: If you apply surface and material properties before you do the Rotate Copy, the properties are copied, saving you some effort later on.
Scale
To scale a group of one or more objects, select the objects with the mouse, then select Edit|Object|Scale to open the Scale Selection dialog box. The dialog box contains a scale factor to specify the magnitude of the scaling. A scale factor greater than one enlarges the selection, while a scale factor less than one makes the object(s) smaller.
All scaling is done relative to the object's origin, so all points within an object (other than the origin) appear to shift when a scaling operation occurs. You can also scale the selection's position by checking the scale position box. This is useful for scaling groups of objects that must fit together.
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TracePro 5.0 User’s Manual |
Moving, Rotating, and Scaling Objects
FIGURE 2.26 - Scale Selection Dialog
Scaling can be Uniform with X, Y, and Z directions having the same scaling factor, or Non-Uniform using different scaling factors. For example, you can scale a sphere into an ellipsoid by setting one scale factor to be different from the other two.
The non-uniform scaling option includes Local WCS and Global WCS selections. The scaling is performed in the three directions but can be made relative to the global coordinate system or to the object's coordinate system.
Once you have typed in the scale factor, press Apply, and the objects will be scaled.
Figure 2.27 shows the result of non-uniform scaling using Local and Global options. Two square blocks were created with a 45 degree rotation about the x- axis and scaled with a Y Scale Factor of 2. The left block was scaled to the Global WCS and the Right was scaled to the block's Local WCS.
FIGURE 2.27 - Two blocks after non-uniform scaling
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