For solid modeling, I heard besides B-Rep, there is parametric representation. Is there any difference between those two?
what's the main difference between B-Rep and Parametric representation
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A BRep is one way (among many) of representing objects in a computer. Other ways of representing objects are voxels and meshes.
The concept of parametric modeling is independent of the representation of object, although it is intimately associated with it. I think the easiest way to visualize the relationship between the two is to think of a parametric modeler as a machine that accepts two inputs:
length,widthandheight, with a hole in the center of the top face of radius.25*width.length=10 cm,width=5 cm,height=3 cm.radiusdoesn't need to be specified because it is given by the relationshipradius = .25*width.Given the recipe and set of values for the parameters, the modeler tries to compute a model. If it succeeds, the output is a model that may be represented as a b-rep, but could alternatively be something else such as a voxel or mesh model.
Currently most commercial parametric modelers work with B-reps.
Of course much of the software to implement a parametric modeler is focused on providing tools to specify the recipe, often as a feature list (feature-based modeling), or as relationships (aka "constraints") between objects (variational modeling) or both. These tools are considered part of the parametric modeler, but the heart of the modeler is a compute operation similar to what I described.