SlideShare a Scribd company logo
3 D Object Representations
RIDHIMA DUTTA
POONAM DHAND
Solid Object Representation -:
• Representation for solid objects can be
divided into two categories.
BOUNDARY
REPRESENTATION
SPACE PARTITIONING
REPRESENTATION
Boundary representation describe a 3-D object
as a set of surfaces that separate the object
interior from the environment.
Eg:Polygon Facets,Spline Patches
Space Partitioning Representations are used to
describe interior properties, by partining the
Spatial region containing the object into non
overlapping ,contiguous solids.
Eg:Octree Representation.
1.Polygon surfaces:
• Many graphics system stores all the object
description as a set of surface polygons.
• Speeds up surface rendering and display of
objects, since all surfaces are described with
linear equations.
Polygon tables
• We can specify a polygon surface with a set of
vertex coordinates and associated attribute
parameters
Geometric tables
Polygon Table
Attribute tables
Geometric tables consists of:
• VERTEX TABLE
• EDGE TABLE
• POLYGON SURFACE TABLE
VERTEX TABLE
V1 X1,Y1,Z1
V2 X2,Y2,Z2
V3 X3,Y3,Z3
V4 X4,Y4,Z4
V5 X5,Y5,Z5
EDGE TABLE
E1 V1,V2
E2 V2,V3
E3 V3,V1
E4 V3,V4
E5 V4,V5
E6 V5,V1
POLYGON-SURFACE TABLE
S1:E1,E2,E3
S2:E3,E4,E5,E6
SOME OF THE TEST THAT GRAPHIC
PACKEGES SHOULD PERFORM ARE:
• THAT EVERY VERTEX LISTED AS END POINT OF
AT LEAST TWO EDGES.
• THAT EVERY EDGE IS PART OF ATLEAST ONE
POLYGON
• THAT EVERY POLYGON IS CLOSED
• THAT EACH POLYGON HAS ATLEAST ONE
SHARED EDGE
PLANE EQUATIONS
• THE EQUATION FOR A PLANE SURFACE CAN BE
EXPRESSED IN FORM
Ax+By+Cz+D=0
Polygon meshes
• A polygon mesh is a collection of vertices,
edges and faces that defines the shape of a
object in 3D computer graphics and solid
modeling. The faces usually consist of
triangles, quadrilaterals or other simple
convex polygons.
• For a triangle mesh n-2 triangles may be
needed
2…Curved Lines and Surfaces
• Displays of 3-D curved lines and surfaces can
be generated from an input set of
mathematical functions defining the object or
from set of user specified data points.
• When a set of co-ordinate points used to
design a new object shape ,a function is
obtained that fits best according to the
constraint of application.eg spline curves
3d-object-representation.pdf

More Related Content

What's hot

Two dimensional viewing
Two dimensional viewingTwo dimensional viewing
Two dimensional viewingMohd Arif
 
Texture in image processing
Texture in image processing Texture in image processing
Texture in image processing
Anna Aquarian
 
Unit 3
Unit 3Unit 3
Unit 3
ypnrao
 
Clipping
ClippingClipping
Clipping
AMIT VIRAMGAMI
 
Image filtering in Digital image processing
Image filtering in Digital image processingImage filtering in Digital image processing
Image filtering in Digital image processing
Abinaya B
 
3D Transformation
3D Transformation3D Transformation
3D Transformation
SwatiHans10
 
Computer graphics notes
Computer graphics notesComputer graphics notes
Computer graphics notes
smruti sarangi
 
Three dimensional concepts - Computer Graphics
Three dimensional concepts - Computer GraphicsThree dimensional concepts - Computer Graphics
Three dimensional concepts - Computer Graphics
Kongunadu College of engineering and Technology, Namakkal
 
Image compression
Image compressionImage compression
Image compression
PREEYANKAV
 
Random scan displays and raster scan displays
Random scan displays and raster scan displaysRandom scan displays and raster scan displays
Random scan displays and raster scan displays
Somya Bagai
 
2D transformation (Computer Graphics)
2D transformation (Computer Graphics)2D transformation (Computer Graphics)
2D transformation (Computer Graphics)
Timbal Mayank
 
2 d viewing computer graphics
2 d viewing computer graphics2 d viewing computer graphics
2 d viewing computer graphics
KALESHWAR KUMAR
 
Hidden surface removal algorithm
Hidden surface removal algorithmHidden surface removal algorithm
Hidden surface removal algorithm
KKARUNKARTHIK
 
Computer Graphics
Computer GraphicsComputer Graphics
Computer Graphics
Adri Jovin
 
Spline representations
Spline representationsSpline representations
Spline representations
Nikhil krishnan
 
Attributes of output primitives( curve attributes & area fill attributes)
Attributes of output primitives( curve attributes & area fill attributes)Attributes of output primitives( curve attributes & area fill attributes)
Attributes of output primitives( curve attributes & area fill attributes)
shalinikarunakaran1
 
Computer graphics basic transformation
Computer graphics basic transformationComputer graphics basic transformation
Computer graphics basic transformation
Selvakumar Gna
 
Video display devices
Video display devicesVideo display devices
Video display devicesMohd Arif
 
UNIT-IV
UNIT-IVUNIT-IV

What's hot (20)

Two dimensional viewing
Two dimensional viewingTwo dimensional viewing
Two dimensional viewing
 
Texture in image processing
Texture in image processing Texture in image processing
Texture in image processing
 
Unit 3
Unit 3Unit 3
Unit 3
 
Clipping
ClippingClipping
Clipping
 
Image filtering in Digital image processing
Image filtering in Digital image processingImage filtering in Digital image processing
Image filtering in Digital image processing
 
3D Transformation
3D Transformation3D Transformation
3D Transformation
 
Computer graphics notes
Computer graphics notesComputer graphics notes
Computer graphics notes
 
Three dimensional concepts - Computer Graphics
Three dimensional concepts - Computer GraphicsThree dimensional concepts - Computer Graphics
Three dimensional concepts - Computer Graphics
 
Image compression
Image compressionImage compression
Image compression
 
Random scan displays and raster scan displays
Random scan displays and raster scan displaysRandom scan displays and raster scan displays
Random scan displays and raster scan displays
 
2D transformation (Computer Graphics)
2D transformation (Computer Graphics)2D transformation (Computer Graphics)
2D transformation (Computer Graphics)
 
2 d viewing computer graphics
2 d viewing computer graphics2 d viewing computer graphics
2 d viewing computer graphics
 
Hidden surface removal algorithm
Hidden surface removal algorithmHidden surface removal algorithm
Hidden surface removal algorithm
 
Dip Image Segmentation
Dip Image SegmentationDip Image Segmentation
Dip Image Segmentation
 
Computer Graphics
Computer GraphicsComputer Graphics
Computer Graphics
 
Spline representations
Spline representationsSpline representations
Spline representations
 
Attributes of output primitives( curve attributes & area fill attributes)
Attributes of output primitives( curve attributes & area fill attributes)Attributes of output primitives( curve attributes & area fill attributes)
Attributes of output primitives( curve attributes & area fill attributes)
 
Computer graphics basic transformation
Computer graphics basic transformationComputer graphics basic transformation
Computer graphics basic transformation
 
Video display devices
Video display devicesVideo display devices
Video display devices
 
UNIT-IV
UNIT-IVUNIT-IV
UNIT-IV
 

Similar to 3d-object-representation.pdf

From Polygons to Quadratics.pptx
From Polygons to Quadratics.pptxFrom Polygons to Quadratics.pptx
From Polygons to Quadratics.pptx
yaswanthnaik27
 
Surface design and visible surfaces
Surface design and visible surfacesSurface design and visible surfaces
Surface design and visible surfaces
Arti Parab Academics
 
Cs8092 computer graphics and multimedia unit 3
Cs8092 computer graphics and multimedia unit 3Cs8092 computer graphics and multimedia unit 3
Cs8092 computer graphics and multimedia unit 3
SIMONTHOMAS S
 
Surface models
Surface modelsSurface models
Surface models
nmahi96
 
3D Graphics : Computer Graphics Fundamentals
3D Graphics : Computer Graphics Fundamentals3D Graphics : Computer Graphics Fundamentals
3D Graphics : Computer Graphics Fundamentals
Muhammed Afsal Villan
 
Clipping
ClippingClipping
Clipping
nehrurevathy
 
Notes04.pdf
Notes04.pdfNotes04.pdf
Notes04.pdf
MukeshKumar605825
 
5_Geometric_Modeling.pdf
5_Geometric_Modeling.pdf5_Geometric_Modeling.pdf
5_Geometric_Modeling.pdf
KeerthanaP37
 
CGChapter 3.pptx
CGChapter 3.pptxCGChapter 3.pptx
CGChapter 3.pptx
YazanAlbilleh
 
Geometric modeling111431635 geometric-modeling-glad (1)
Geometric modeling111431635 geometric-modeling-glad (1)Geometric modeling111431635 geometric-modeling-glad (1)
Geometric modeling111431635 geometric-modeling-glad (1)
manojg1990
 
111431635-geometric-modeling-glad1-150630140219-lva1-app6892 (1).pdf
111431635-geometric-modeling-glad1-150630140219-lva1-app6892 (1).pdf111431635-geometric-modeling-glad1-150630140219-lva1-app6892 (1).pdf
111431635-geometric-modeling-glad1-150630140219-lva1-app6892 (1).pdf
VIGNESHG144026
 
PPT s07-machine vision-s2
PPT s07-machine vision-s2PPT s07-machine vision-s2
PPT s07-machine vision-s2
Binus Online Learning
 
Modelling - Third dimension.pptx
Modelling - Third dimension.pptxModelling - Third dimension.pptx
Modelling - Third dimension.pptx
Aliya Fathima Ilyas
 
Cad me2155-lab-manual
Cad me2155-lab-manualCad me2155-lab-manual
Cad me2155-lab-manual
Nandhini Disanth
 
Computer graphics iv unit
Computer graphics iv unitComputer graphics iv unit
Computer graphics iv unit
aravindangc
 
3-Game Graphics (Game Design and Development)
3-Game Graphics (Game Design and Development)3-Game Graphics (Game Design and Development)
3-Game Graphics (Game Design and Development)
Hafiz Ammar Siddiqui
 
Part 4- Geometric Modeling.pptx
Part 4- Geometric Modeling.pptxPart 4- Geometric Modeling.pptx
Part 4- Geometric Modeling.pptx
Khalil Alhatab
 
Geometric modeling
Geometric modelingGeometric modeling
Geometric modeling
nmahi96
 
187186134 5-geometric-modeling
187186134 5-geometric-modeling187186134 5-geometric-modeling
187186134 5-geometric-modeling
manojg1990
 

Similar to 3d-object-representation.pdf (20)

From Polygons to Quadratics.pptx
From Polygons to Quadratics.pptxFrom Polygons to Quadratics.pptx
From Polygons to Quadratics.pptx
 
Surface design and visible surfaces
Surface design and visible surfacesSurface design and visible surfaces
Surface design and visible surfaces
 
Cs8092 computer graphics and multimedia unit 3
Cs8092 computer graphics and multimedia unit 3Cs8092 computer graphics and multimedia unit 3
Cs8092 computer graphics and multimedia unit 3
 
Surface models
Surface modelsSurface models
Surface models
 
3D Graphics : Computer Graphics Fundamentals
3D Graphics : Computer Graphics Fundamentals3D Graphics : Computer Graphics Fundamentals
3D Graphics : Computer Graphics Fundamentals
 
Clipping
ClippingClipping
Clipping
 
Notes04.pdf
Notes04.pdfNotes04.pdf
Notes04.pdf
 
5_Geometric_Modeling.pdf
5_Geometric_Modeling.pdf5_Geometric_Modeling.pdf
5_Geometric_Modeling.pdf
 
CGChapter 3.pptx
CGChapter 3.pptxCGChapter 3.pptx
CGChapter 3.pptx
 
Geometric modeling111431635 geometric-modeling-glad (1)
Geometric modeling111431635 geometric-modeling-glad (1)Geometric modeling111431635 geometric-modeling-glad (1)
Geometric modeling111431635 geometric-modeling-glad (1)
 
111431635-geometric-modeling-glad1-150630140219-lva1-app6892 (1).pdf
111431635-geometric-modeling-glad1-150630140219-lva1-app6892 (1).pdf111431635-geometric-modeling-glad1-150630140219-lva1-app6892 (1).pdf
111431635-geometric-modeling-glad1-150630140219-lva1-app6892 (1).pdf
 
PPT s07-machine vision-s2
PPT s07-machine vision-s2PPT s07-machine vision-s2
PPT s07-machine vision-s2
 
3 d
3 d3 d
3 d
 
Modelling - Third dimension.pptx
Modelling - Third dimension.pptxModelling - Third dimension.pptx
Modelling - Third dimension.pptx
 
Cad me2155-lab-manual
Cad me2155-lab-manualCad me2155-lab-manual
Cad me2155-lab-manual
 
Computer graphics iv unit
Computer graphics iv unitComputer graphics iv unit
Computer graphics iv unit
 
3-Game Graphics (Game Design and Development)
3-Game Graphics (Game Design and Development)3-Game Graphics (Game Design and Development)
3-Game Graphics (Game Design and Development)
 
Part 4- Geometric Modeling.pptx
Part 4- Geometric Modeling.pptxPart 4- Geometric Modeling.pptx
Part 4- Geometric Modeling.pptx
 
Geometric modeling
Geometric modelingGeometric modeling
Geometric modeling
 
187186134 5-geometric-modeling
187186134 5-geometric-modeling187186134 5-geometric-modeling
187186134 5-geometric-modeling
 

Recently uploaded

bank management system in java and mysql report1.pdf
bank management system in java and mysql report1.pdfbank management system in java and mysql report1.pdf
bank management system in java and mysql report1.pdf
Divyam548318
 
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdf
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdfGoverning Equations for Fundamental Aerodynamics_Anderson2010.pdf
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdf
WENKENLI1
 
A review on techniques and modelling methodologies used for checking electrom...
A review on techniques and modelling methodologies used for checking electrom...A review on techniques and modelling methodologies used for checking electrom...
A review on techniques and modelling methodologies used for checking electrom...
nooriasukmaningtyas
 
Unbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptxUnbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptx
ChristineTorrepenida1
 
Modelagem de um CSTR com reação endotermica.pdf
Modelagem de um CSTR com reação endotermica.pdfModelagem de um CSTR com reação endotermica.pdf
Modelagem de um CSTR com reação endotermica.pdf
camseq
 
Planning Of Procurement o different goods and services
Planning Of Procurement o different goods and servicesPlanning Of Procurement o different goods and services
Planning Of Procurement o different goods and services
JoytuBarua2
 
Understanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine LearningUnderstanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine Learning
SUTEJAS
 
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming PipelinesHarnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
Christina Lin
 
PPT on GRP pipes manufacturing and testing
PPT on GRP pipes manufacturing and testingPPT on GRP pipes manufacturing and testing
PPT on GRP pipes manufacturing and testing
anoopmanoharan2
 
Literature Review Basics and Understanding Reference Management.pptx
Literature Review Basics and Understanding Reference Management.pptxLiterature Review Basics and Understanding Reference Management.pptx
Literature Review Basics and Understanding Reference Management.pptx
Dr Ramhari Poudyal
 
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&BDesign and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
Sreedhar Chowdam
 
DfMAy 2024 - key insights and contributions
DfMAy 2024 - key insights and contributionsDfMAy 2024 - key insights and contributions
DfMAy 2024 - key insights and contributions
gestioneergodomus
 
sieving analysis and results interpretation
sieving analysis and results interpretationsieving analysis and results interpretation
sieving analysis and results interpretation
ssuser36d3051
 
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdfBPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
MIGUELANGEL966976
 
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressionsKuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
Victor Morales
 
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.pptPROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
bhadouriyakaku
 
spirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptxspirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptx
Madan Karki
 
ACEP Magazine edition 4th launched on 05.06.2024
ACEP Magazine edition 4th launched on 05.06.2024ACEP Magazine edition 4th launched on 05.06.2024
ACEP Magazine edition 4th launched on 05.06.2024
Rahul
 
Technical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prismsTechnical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prisms
heavyhaig
 
Water billing management system project report.pdf
Water billing management system project report.pdfWater billing management system project report.pdf
Water billing management system project report.pdf
Kamal Acharya
 

Recently uploaded (20)

bank management system in java and mysql report1.pdf
bank management system in java and mysql report1.pdfbank management system in java and mysql report1.pdf
bank management system in java and mysql report1.pdf
 
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdf
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdfGoverning Equations for Fundamental Aerodynamics_Anderson2010.pdf
Governing Equations for Fundamental Aerodynamics_Anderson2010.pdf
 
A review on techniques and modelling methodologies used for checking electrom...
A review on techniques and modelling methodologies used for checking electrom...A review on techniques and modelling methodologies used for checking electrom...
A review on techniques and modelling methodologies used for checking electrom...
 
Unbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptxUnbalanced Three Phase Systems and circuits.pptx
Unbalanced Three Phase Systems and circuits.pptx
 
Modelagem de um CSTR com reação endotermica.pdf
Modelagem de um CSTR com reação endotermica.pdfModelagem de um CSTR com reação endotermica.pdf
Modelagem de um CSTR com reação endotermica.pdf
 
Planning Of Procurement o different goods and services
Planning Of Procurement o different goods and servicesPlanning Of Procurement o different goods and services
Planning Of Procurement o different goods and services
 
Understanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine LearningUnderstanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine Learning
 
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming PipelinesHarnessing WebAssembly for Real-time Stateless Streaming Pipelines
Harnessing WebAssembly for Real-time Stateless Streaming Pipelines
 
PPT on GRP pipes manufacturing and testing
PPT on GRP pipes manufacturing and testingPPT on GRP pipes manufacturing and testing
PPT on GRP pipes manufacturing and testing
 
Literature Review Basics and Understanding Reference Management.pptx
Literature Review Basics and Understanding Reference Management.pptxLiterature Review Basics and Understanding Reference Management.pptx
Literature Review Basics and Understanding Reference Management.pptx
 
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&BDesign and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
Design and Analysis of Algorithms-DP,Backtracking,Graphs,B&B
 
DfMAy 2024 - key insights and contributions
DfMAy 2024 - key insights and contributionsDfMAy 2024 - key insights and contributions
DfMAy 2024 - key insights and contributions
 
sieving analysis and results interpretation
sieving analysis and results interpretationsieving analysis and results interpretation
sieving analysis and results interpretation
 
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdfBPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
 
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressionsKuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
 
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.pptPROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
PROJECT FORMAT FOR EVS AMITY UNIVERSITY GWALIOR.ppt
 
spirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptxspirit beverages ppt without graphics.pptx
spirit beverages ppt without graphics.pptx
 
ACEP Magazine edition 4th launched on 05.06.2024
ACEP Magazine edition 4th launched on 05.06.2024ACEP Magazine edition 4th launched on 05.06.2024
ACEP Magazine edition 4th launched on 05.06.2024
 
Technical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prismsTechnical Drawings introduction to drawing of prisms
Technical Drawings introduction to drawing of prisms
 
Water billing management system project report.pdf
Water billing management system project report.pdfWater billing management system project report.pdf
Water billing management system project report.pdf
 

3d-object-representation.pdf

  • 1. 3 D Object Representations RIDHIMA DUTTA POONAM DHAND
  • 2. Solid Object Representation -: • Representation for solid objects can be divided into two categories. BOUNDARY REPRESENTATION SPACE PARTITIONING REPRESENTATION
  • 3. Boundary representation describe a 3-D object as a set of surfaces that separate the object interior from the environment. Eg:Polygon Facets,Spline Patches Space Partitioning Representations are used to describe interior properties, by partining the Spatial region containing the object into non overlapping ,contiguous solids. Eg:Octree Representation.
  • 4. 1.Polygon surfaces: • Many graphics system stores all the object description as a set of surface polygons. • Speeds up surface rendering and display of objects, since all surfaces are described with linear equations.
  • 5. Polygon tables • We can specify a polygon surface with a set of vertex coordinates and associated attribute parameters Geometric tables Polygon Table Attribute tables
  • 6. Geometric tables consists of: • VERTEX TABLE • EDGE TABLE • POLYGON SURFACE TABLE VERTEX TABLE V1 X1,Y1,Z1 V2 X2,Y2,Z2 V3 X3,Y3,Z3 V4 X4,Y4,Z4 V5 X5,Y5,Z5 EDGE TABLE E1 V1,V2 E2 V2,V3 E3 V3,V1 E4 V3,V4 E5 V4,V5 E6 V5,V1 POLYGON-SURFACE TABLE S1:E1,E2,E3 S2:E3,E4,E5,E6
  • 7. SOME OF THE TEST THAT GRAPHIC PACKEGES SHOULD PERFORM ARE: • THAT EVERY VERTEX LISTED AS END POINT OF AT LEAST TWO EDGES. • THAT EVERY EDGE IS PART OF ATLEAST ONE POLYGON • THAT EVERY POLYGON IS CLOSED • THAT EACH POLYGON HAS ATLEAST ONE SHARED EDGE
  • 8. PLANE EQUATIONS • THE EQUATION FOR A PLANE SURFACE CAN BE EXPRESSED IN FORM Ax+By+Cz+D=0
  • 10. • A polygon mesh is a collection of vertices, edges and faces that defines the shape of a object in 3D computer graphics and solid modeling. The faces usually consist of triangles, quadrilaterals or other simple convex polygons. • For a triangle mesh n-2 triangles may be needed
  • 11. 2…Curved Lines and Surfaces • Displays of 3-D curved lines and surfaces can be generated from an input set of mathematical functions defining the object or from set of user specified data points. • When a set of co-ordinate points used to design a new object shape ,a function is obtained that fits best according to the constraint of application.eg spline curves