3D object represent with primitive shapes

In summary, the conversation discusses the possibility of representing 3D objects using basic primitive shapes like Sphere, Cone and Cylinder. One person believes this claim is not valid, while the other person is trying to clarify the concept of "representing 3D objects into primitive shapes". They discuss the use of tetrahedrons and other primitive shapes in finite element analysis and 3D CAD, as well as the artistic representation of complex 3D shapes using basic units.
  • #1
shanky
7
0
Hi,
Given a 3D object in R3 space can we represent it using three basic primitive shapes like Sphere, Cone and Cylinder? Would this claim be valid?
 
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  • #2
No.
 
  • #3
Orodruin said:
No.

Hi Orodruin,

Can you be more clear. Why No and isn't it write to represent 3D objects into any primitive shapes.
 
  • #4
It is not very clear what you mean by "representing 3D objects into primitive shapes".
 
  • #5
Orodruin said:
It is not very clear what you mean by "representing 3D objects into primitive shapes".
I am trying to decompose 3D object (eg. Bunny) into primitive shapes basis functions.
 
  • #6
Depends on whether you mean in a strict mathematical sense or in a practical representation sense .

(1) Real 3D objects of great complexity can be accurately represented by assemblies of simple units like tetrahedrons . This is one of the basic principles of finite element analysis and some types of 3D CAD .

Tetrahedrons and other primitive shapes like cubes can be used in a basic way or they can be systematically deformed to give a higher level of accuracy .

Some examples : http://www.truegrid.com/fe.html

(2) At a more artistic level complex 3D shapes can be represented by assemblies of basic units taken from a big selection of basic units - anything from simple cubes to arms, legs bugs and spaceships . Again these objects can be deliberately distorted as required .

Fun to play with : https://www.tinkercad.com/
 
Last edited:
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Likes jim mcnamara

Related to 3D object represent with primitive shapes

1. What are primitive shapes in 3D object representation?

Primitive shapes are basic geometric shapes, such as cubes, spheres, cylinders, and pyramids, that are used to construct more complex 3D objects. These shapes are often referred to as "building blocks" because they can be combined and manipulated to create a variety of objects.

2. Why are primitive shapes used in 3D object representation?

Primitive shapes are used in 3D object representation because they are simple and easy to work with. They also provide a solid foundation for creating more complex objects, as they can be scaled, rotated, and duplicated to create a variety of shapes. Additionally, using primitive shapes can help reduce the number of calculations and resources needed for rendering 3D objects.

3. How are primitive shapes transformed to create 3D objects?

Primitive shapes can be transformed through a process called "meshing." This involves connecting a series of points, called vertices, to create a polygon mesh that defines the shape of the object. By manipulating the position, rotation, and scale of these vertices, the overall appearance of the 3D object can be changed.

4. Can any 3D object be represented using primitive shapes?

While primitive shapes are versatile and can be combined to create a wide range of objects, they may not be suitable for representing highly complex objects or organic shapes. In these cases, more advanced techniques and software may be needed to accurately represent the object in 3D.

5. Are there any limitations to using primitive shapes in 3D object representation?

One limitation of using primitive shapes is that they may not always accurately represent the real-world object they are trying to model. This is because primitive shapes are made up of straight edges and flat surfaces, while real-world objects may have more complex curves and textures. Additionally, using only primitive shapes may result in a less realistic or detailed representation of the object.

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