SlideShare a Scribd company logo
1 of 14
Download to read offline
Transformations…
In practical problems, the components of a vector are
known in one coordinate system but it is necessary to
find them in some other coordinate system.
The relationship between the components in one
coordinate system and the components in a second
coordinate system are called the transformation
equations.
Transformations…
• No of Modelling software packages are available like CATIA, Uni-graphics, CREO,
Solidworks.
• All these software's are used to create part modelling.
• While designing any component alterations are needed and it can be possible with
computers easily.
• Drawings created in the software has a database.
• This database can be modified by some mathematical operations called Transformation
A geometric transformation is an operation that modifies its shape, size, position,
orientation etc. with respect to its current configuration.
Transformations…
Transformation is classified as-
1. Translation- Moving an object from one location to another location.
2. Rotation- To create entities arranged in circular arrays.
3. Scaling- Alters the size of object.
4. Reflection- To mirror the object.
5. Shear- This transformation causes the image to slant.
All softwares are built with matrix multiplication formats, which helps for
transformations.
2D-Transformation
When this transformation is carried out in 2/3 dimensions then it is called 2D/3D
transformation.
• 2D object is represented by points and lines that join them
• Transformations can be applied only to the points defining the lines
• A point (x, y) is represented by a 2x1 column vector, so we can represent 2D
transformations by using 2x2 matrices:
Translation
This program is used to
shift/move any entity ie.
Point, line rectangle.
3D-Transformation
3D-Transformation
 Translation Transformation-
 Scaling Transformation-
3D-Transformation
Rotation about X- Rotation about Y-
3D-Transformation
Rotation about Z-
Thank You…

More Related Content

Similar to 2D-3D Transformations in Computer Aided Design.pptx

affine transformation for computer graphics
affine transformation for computer graphicsaffine transformation for computer graphics
affine transformation for computer graphicsDrSUGANYADEVIK
 
Did you mean 'Galene'?
Did you mean 'Galene'?Did you mean 'Galene'?
Did you mean 'Galene'?Azeem Mohammad
 
Function oriented design
Function oriented designFunction oriented design
Function oriented designVidhun T
 
Software design, software engineering
Software design, software engineeringSoftware design, software engineering
Software design, software engineeringRupesh Vaishnav
 
SWE-401 - 7. Software Design Strategies
SWE-401 - 7. Software Design StrategiesSWE-401 - 7. Software Design Strategies
SWE-401 - 7. Software Design Strategiesghayour abbas
 
Introduction to Modern Software Architecture
Introduction to Modern Software ArchitectureIntroduction to Modern Software Architecture
Introduction to Modern Software ArchitectureJérôme Kehrli
 
Chapter 2_Software Architecture.ppt
Chapter 2_Software Architecture.pptChapter 2_Software Architecture.ppt
Chapter 2_Software Architecture.pptRushikeshChikane1
 
Chapter 2_Software Architecture.ppt
Chapter 2_Software Architecture.pptChapter 2_Software Architecture.ppt
Chapter 2_Software Architecture.pptRushikeshChikane2
 
Function Oriented and Object Oriented Design,Modularization techniques
Function Oriented and Object Oriented Design,Modularization techniquesFunction Oriented and Object Oriented Design,Modularization techniques
Function Oriented and Object Oriented Design,Modularization techniquesnimmik4u
 
assembly modelling.pdf
assembly modelling.pdfassembly modelling.pdf
assembly modelling.pdfgvkovind
 
R1x g02 enterprise architecture i
R1x g02 enterprise architecture iR1x g02 enterprise architecture i
R1x g02 enterprise architecture icairo university
 
Transition from Systems Analysis to Systems Designs
Transition from Systems Analysis to Systems DesignsTransition from Systems Analysis to Systems Designs
Transition from Systems Analysis to Systems DesignsAnalene de Guzman
 
Lecture 11
Lecture 11Lecture 11
Lecture 11Rana Ali
 
Design concepts and principles
Design concepts and principlesDesign concepts and principles
Design concepts and principlessaurabhshertukde
 

Similar to 2D-3D Transformations in Computer Aided Design.pptx (20)

affine transformation for computer graphics
affine transformation for computer graphicsaffine transformation for computer graphics
affine transformation for computer graphics
 
Did you mean 'Galene'?
Did you mean 'Galene'?Did you mean 'Galene'?
Did you mean 'Galene'?
 
Function oriented design
Function oriented designFunction oriented design
Function oriented design
 
Software design, software engineering
Software design, software engineeringSoftware design, software engineering
Software design, software engineering
 
SWE-401 - 7. Software Design Strategies
SWE-401 - 7. Software Design StrategiesSWE-401 - 7. Software Design Strategies
SWE-401 - 7. Software Design Strategies
 
Introduction to Modern Software Architecture
Introduction to Modern Software ArchitectureIntroduction to Modern Software Architecture
Introduction to Modern Software Architecture
 
4+1
4+14+1
4+1
 
Uml3
Uml3Uml3
Uml3
 
Chapter 2_Software Architecture.ppt
Chapter 2_Software Architecture.pptChapter 2_Software Architecture.ppt
Chapter 2_Software Architecture.ppt
 
Chapter 2_Software Architecture.ppt
Chapter 2_Software Architecture.pptChapter 2_Software Architecture.ppt
Chapter 2_Software Architecture.ppt
 
Function Oriented and Object Oriented Design,Modularization techniques
Function Oriented and Object Oriented Design,Modularization techniquesFunction Oriented and Object Oriented Design,Modularization techniques
Function Oriented and Object Oriented Design,Modularization techniques
 
4+1 view model
4+1 view model4+1 view model
4+1 view model
 
Object oriented analysis and design unit- iv
Object oriented analysis and design unit- ivObject oriented analysis and design unit- iv
Object oriented analysis and design unit- iv
 
Ch14
Ch14Ch14
Ch14
 
Activity diag
Activity diagActivity diag
Activity diag
 
assembly modelling.pdf
assembly modelling.pdfassembly modelling.pdf
assembly modelling.pdf
 
R1x g02 enterprise architecture i
R1x g02 enterprise architecture iR1x g02 enterprise architecture i
R1x g02 enterprise architecture i
 
Transition from Systems Analysis to Systems Designs
Transition from Systems Analysis to Systems DesignsTransition from Systems Analysis to Systems Designs
Transition from Systems Analysis to Systems Designs
 
Lecture 11
Lecture 11Lecture 11
Lecture 11
 
Design concepts and principles
Design concepts and principlesDesign concepts and principles
Design concepts and principles
 

Recently uploaded

Comprehensive energy systems.pdf Comprehensive energy systems.pdf
Comprehensive energy systems.pdf Comprehensive energy systems.pdfComprehensive energy systems.pdf Comprehensive energy systems.pdf
Comprehensive energy systems.pdf Comprehensive energy systems.pdfalene1
 
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMSHigh Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMSsandhya757531
 
Javier_Fernandez_CARS_workshop_presentation.pptx
Javier_Fernandez_CARS_workshop_presentation.pptxJavier_Fernandez_CARS_workshop_presentation.pptx
Javier_Fernandez_CARS_workshop_presentation.pptxJavier Fernández Muñoz
 
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithmComputer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithmDeepika Walanjkar
 
"Exploring the Essential Functions and Design Considerations of Spillways in ...
"Exploring the Essential Functions and Design Considerations of Spillways in ..."Exploring the Essential Functions and Design Considerations of Spillways in ...
"Exploring the Essential Functions and Design Considerations of Spillways in ...Erbil Polytechnic University
 
Substation Automation SCADA and Gateway Solutions by BRH
Substation Automation SCADA and Gateway Solutions by BRHSubstation Automation SCADA and Gateway Solutions by BRH
Substation Automation SCADA and Gateway Solutions by BRHbirinder2
 
Robotics Group 10 (Control Schemes) cse.pdf
Robotics Group 10  (Control Schemes) cse.pdfRobotics Group 10  (Control Schemes) cse.pdf
Robotics Group 10 (Control Schemes) cse.pdfsahilsajad201
 
Immutable Image-Based Operating Systems - EW2024.pdf
Immutable Image-Based Operating Systems - EW2024.pdfImmutable Image-Based Operating Systems - EW2024.pdf
Immutable Image-Based Operating Systems - EW2024.pdfDrew Moseley
 
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptx
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptxTriangulation survey (Basic Mine Surveying)_MI10412MI.pptx
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptxRomil Mishra
 
Robotics-Asimov's Laws, Mechanical Subsystems, Robot Kinematics, Robot Dynami...
Robotics-Asimov's Laws, Mechanical Subsystems, Robot Kinematics, Robot Dynami...Robotics-Asimov's Laws, Mechanical Subsystems, Robot Kinematics, Robot Dynami...
Robotics-Asimov's Laws, Mechanical Subsystems, Robot Kinematics, Robot Dynami...Sumanth A
 
Research Methodology for Engineering pdf
Research Methodology for Engineering pdfResearch Methodology for Engineering pdf
Research Methodology for Engineering pdfCaalaaAbdulkerim
 
SOFTWARE ESTIMATION COCOMO AND FP CALCULATION
SOFTWARE ESTIMATION COCOMO AND FP CALCULATIONSOFTWARE ESTIMATION COCOMO AND FP CALCULATION
SOFTWARE ESTIMATION COCOMO AND FP CALCULATIONSneha Padhiar
 
Theory of Machine Notes / Lecture Material .pdf
Theory of Machine Notes / Lecture Material .pdfTheory of Machine Notes / Lecture Material .pdf
Theory of Machine Notes / Lecture Material .pdfShreyas Pandit
 
KCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitosKCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitosVictor Morales
 
Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________Romil Mishra
 
Detection&Tracking - Thermal imaging object detection and tracking
Detection&Tracking - Thermal imaging object detection and trackingDetection&Tracking - Thermal imaging object detection and tracking
Detection&Tracking - Thermal imaging object detection and trackinghadarpinhas1
 
Turn leadership mistakes into a better future.pptx
Turn leadership mistakes into a better future.pptxTurn leadership mistakes into a better future.pptx
Turn leadership mistakes into a better future.pptxStephen Sitton
 
Cost estimation approach: FP to COCOMO scenario based question
Cost estimation approach: FP to COCOMO scenario based questionCost estimation approach: FP to COCOMO scenario based question
Cost estimation approach: FP to COCOMO scenario based questionSneha Padhiar
 
CME 397 - SURFACE ENGINEERING - UNIT 1 FULL NOTES
CME 397 - SURFACE ENGINEERING - UNIT 1 FULL NOTESCME 397 - SURFACE ENGINEERING - UNIT 1 FULL NOTES
CME 397 - SURFACE ENGINEERING - UNIT 1 FULL NOTESkarthi keyan
 

Recently uploaded (20)

Comprehensive energy systems.pdf Comprehensive energy systems.pdf
Comprehensive energy systems.pdf Comprehensive energy systems.pdfComprehensive energy systems.pdf Comprehensive energy systems.pdf
Comprehensive energy systems.pdf Comprehensive energy systems.pdf
 
Versatile Engineering Construction Firms
Versatile Engineering Construction FirmsVersatile Engineering Construction Firms
Versatile Engineering Construction Firms
 
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMSHigh Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
High Voltage Engineering- OVER VOLTAGES IN ELECTRICAL POWER SYSTEMS
 
Javier_Fernandez_CARS_workshop_presentation.pptx
Javier_Fernandez_CARS_workshop_presentation.pptxJavier_Fernandez_CARS_workshop_presentation.pptx
Javier_Fernandez_CARS_workshop_presentation.pptx
 
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithmComputer Graphics Introduction, Open GL, Line and Circle drawing algorithm
Computer Graphics Introduction, Open GL, Line and Circle drawing algorithm
 
"Exploring the Essential Functions and Design Considerations of Spillways in ...
"Exploring the Essential Functions and Design Considerations of Spillways in ..."Exploring the Essential Functions and Design Considerations of Spillways in ...
"Exploring the Essential Functions and Design Considerations of Spillways in ...
 
Substation Automation SCADA and Gateway Solutions by BRH
Substation Automation SCADA and Gateway Solutions by BRHSubstation Automation SCADA and Gateway Solutions by BRH
Substation Automation SCADA and Gateway Solutions by BRH
 
Robotics Group 10 (Control Schemes) cse.pdf
Robotics Group 10  (Control Schemes) cse.pdfRobotics Group 10  (Control Schemes) cse.pdf
Robotics Group 10 (Control Schemes) cse.pdf
 
Immutable Image-Based Operating Systems - EW2024.pdf
Immutable Image-Based Operating Systems - EW2024.pdfImmutable Image-Based Operating Systems - EW2024.pdf
Immutable Image-Based Operating Systems - EW2024.pdf
 
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptx
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptxTriangulation survey (Basic Mine Surveying)_MI10412MI.pptx
Triangulation survey (Basic Mine Surveying)_MI10412MI.pptx
 
Robotics-Asimov's Laws, Mechanical Subsystems, Robot Kinematics, Robot Dynami...
Robotics-Asimov's Laws, Mechanical Subsystems, Robot Kinematics, Robot Dynami...Robotics-Asimov's Laws, Mechanical Subsystems, Robot Kinematics, Robot Dynami...
Robotics-Asimov's Laws, Mechanical Subsystems, Robot Kinematics, Robot Dynami...
 
Research Methodology for Engineering pdf
Research Methodology for Engineering pdfResearch Methodology for Engineering pdf
Research Methodology for Engineering pdf
 
SOFTWARE ESTIMATION COCOMO AND FP CALCULATION
SOFTWARE ESTIMATION COCOMO AND FP CALCULATIONSOFTWARE ESTIMATION COCOMO AND FP CALCULATION
SOFTWARE ESTIMATION COCOMO AND FP CALCULATION
 
Theory of Machine Notes / Lecture Material .pdf
Theory of Machine Notes / Lecture Material .pdfTheory of Machine Notes / Lecture Material .pdf
Theory of Machine Notes / Lecture Material .pdf
 
KCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitosKCD Costa Rica 2024 - Nephio para parvulitos
KCD Costa Rica 2024 - Nephio para parvulitos
 
Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________Gravity concentration_MI20612MI_________
Gravity concentration_MI20612MI_________
 
Detection&Tracking - Thermal imaging object detection and tracking
Detection&Tracking - Thermal imaging object detection and trackingDetection&Tracking - Thermal imaging object detection and tracking
Detection&Tracking - Thermal imaging object detection and tracking
 
Turn leadership mistakes into a better future.pptx
Turn leadership mistakes into a better future.pptxTurn leadership mistakes into a better future.pptx
Turn leadership mistakes into a better future.pptx
 
Cost estimation approach: FP to COCOMO scenario based question
Cost estimation approach: FP to COCOMO scenario based questionCost estimation approach: FP to COCOMO scenario based question
Cost estimation approach: FP to COCOMO scenario based question
 
CME 397 - SURFACE ENGINEERING - UNIT 1 FULL NOTES
CME 397 - SURFACE ENGINEERING - UNIT 1 FULL NOTESCME 397 - SURFACE ENGINEERING - UNIT 1 FULL NOTES
CME 397 - SURFACE ENGINEERING - UNIT 1 FULL NOTES
 

2D-3D Transformations in Computer Aided Design.pptx

  • 1.
  • 2. Transformations… In practical problems, the components of a vector are known in one coordinate system but it is necessary to find them in some other coordinate system. The relationship between the components in one coordinate system and the components in a second coordinate system are called the transformation equations.
  • 3. Transformations… • No of Modelling software packages are available like CATIA, Uni-graphics, CREO, Solidworks. • All these software's are used to create part modelling. • While designing any component alterations are needed and it can be possible with computers easily. • Drawings created in the software has a database. • This database can be modified by some mathematical operations called Transformation A geometric transformation is an operation that modifies its shape, size, position, orientation etc. with respect to its current configuration.
  • 4. Transformations… Transformation is classified as- 1. Translation- Moving an object from one location to another location. 2. Rotation- To create entities arranged in circular arrays. 3. Scaling- Alters the size of object. 4. Reflection- To mirror the object. 5. Shear- This transformation causes the image to slant. All softwares are built with matrix multiplication formats, which helps for transformations.
  • 5. 2D-Transformation When this transformation is carried out in 2/3 dimensions then it is called 2D/3D transformation. • 2D object is represented by points and lines that join them • Transformations can be applied only to the points defining the lines • A point (x, y) is represented by a 2x1 column vector, so we can represent 2D transformations by using 2x2 matrices:
  • 6. Translation This program is used to shift/move any entity ie. Point, line rectangle.
  • 7.
  • 8.
  • 9.