ºÝºÝߣ

ºÝºÝߣShare a Scribd company logo

Solid modeling-Sweep Representation and B-representation

•Download as PPTX, PDF•
•
Destro Destro
Destro Destro

Solid modeling is a computer representation of a physical 3D object that allows for its creation and visualization in digital form. A solid model contains both geometric information about the object's shape, size, and angles as well as topological information about how its parts are connected. Solid models provide a more complete representation than earlier wireframe models and can be represented using techniques like boundary representation, sweeps along trajectories, or as polyhedrons with flat faces, edges and vertices.

1 of 14
Downloaded 92 times
Solid Modeling Presented by Pramod Poudel 1
Solid Modeling Computer representation of a physical solid object Creation or visualization of digital model 2
Solid Modeling • Solid modeling is based on complete, valid and unambiguous geometric representation of physical object. – Complete  points in space can be classified.(inside/outside) – Valid vertices, edges, faces are connected properly. – Unambiguous  there can only be one interpretation of object • Solid model consist of geometric and topological data – Geometry  graphical information like shape, size, angle – Topology invisible information like connectivity 3
Representing Solid 4
5 A solid model is the more complete representation than it’s surface (wireframe model)
Boolean Operation • allows objects by defining new objects 6 a) Objects A and B b)The AU B c) A ∩ B d) A - B e) B - A
Sweep representation • Is a method to generate solid with the help of 2D structures • Sweeping an object along a trajectory through space defines a new object called a sweep.The displacement of an object according to a trajectory defines another object 7
8 Rotational Sweep
Translational Sweep 9
B - Representation • extension to the wireframe model. • describes the solid in terms of its surface boundaries:Vertices, edges and faces • There are 2 types of information in a B – rep topological and geometric. 10
Polyhedron • A polyhedron is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners 11
• A simple polyhedron without holes, obeys Euler's formula: 12 V - E + F = 2 V -Vertex E - Edges (edges) F - Faces
Generalization of Euler’s Formula for polyhedron with holes 13 V - E + F - H = 2 (C - G) V -Vertex E - Edges (edges) F - Faces H - number of holes in the sides G - Number of holes crossing the object C - number of parts of the object
14 ThankYou

More Related Content

Solid modeling-Sweep Representation and B-representation

  • 1. Solid Modeling Presented by Pramod Poudel 1
  • 2. Solid Modeling Computer representation of a physical solid object Creation or visualization of digital model 2
  • 3. Solid Modeling • Solid modeling is based on complete, valid and unambiguous geometric representation of physical object. – Complete  points in space can be classified.(inside/outside) – Valid vertices, edges, faces are connected properly. – Unambiguous  there can only be one interpretation of object • Solid model consist of geometric and topological data – Geometry  graphical information like shape, size, angle – Topology invisible information like connectivity 3
  • 5. 5 A solid model is the more complete representation than it’s surface (wireframe model)
  • 6. Boolean Operation • allows objects by defining new objects 6 a) Objects A and B b)The AU B c) A ∩ B d) A - B e) B - A
  • 7. Sweep representation • Is a method to generate solid with the help of 2D structures • Sweeping an object along a trajectory through space defines a new object called a sweep.The displacement of an object according to a trajectory defines another object 7
  • 10. B - Representation • extension to the wireframe model. • describes the solid in terms of its surface boundaries:Vertices, edges and faces • There are 2 types of information in a B – rep topological and geometric. 10
  • 11. Polyhedron • A polyhedron is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners 11
  • 12. • A simple polyhedron without holes, obeys Euler's formula: 12 V - E + F = 2 V -Vertex E - Edges (edges) F - Faces
  • 13. Generalization of Euler’s Formula for polyhedron with holes 13 V - E + F - H = 2 (C - G) V -Vertex E - Edges (edges) F - Faces H - number of holes in the sides G - Number of holes crossing the object C - number of parts of the object