Surfaces

 

Surfaces

A Bezier's patch is a polynomial bi-parametric surface. In this type of patch, a point of the surface is calculated by two parameters called U and V. Each of them are comprised between 0. and 1. All the points computed in this area create the patch. The formula of the patch can be described by points called the descriptors.

Surfaces like "revolve", "sphere", and so on, can't be described by Bezier's patches because they can't be described by a polynom. Then they are approximated.

A polyhedron is a set of shapes and perforated shapes.

All the surfaces created with this menu have no CSG.

Limit a patch between 4 parameters

It is possible to cut a part of a patch. This part can be limited between 4 parameters. Two parameters in U, and two parameters in V. The result is another patch.

Patch: Select a patch.

U1: Input the first parameter in U. It must be number between 0. and 1.

U2: Input the second parameter in U. It must be number between 0. and 1.

V1: Input the first parameter in V. It must be number between 0. and 1.

V2: Input the second parameter in V. It must be a number between 0. and 1.

Create a patch with descriptor

A patch can be created by its descriptors. A descriptor can be a polyline or a Bezier's curve.

Descrip.: Select from two to up to ten descriptors.

Tangent of a patch at one point

This function computes the tangent plane at one point of the patch.

Patch: Select a patch.

U: Input the U parameter of the point. It must be comprised between 0. and 1.

V: Input the V parameter of the point. It must be comprised between 0. and 1.

Convert a solid/surface to polyedron

The CSG is lost.

Element: Select the solid or the surface to convert.

Create a polyedron with some facets

Sometimes, it is not possible to create a solid by using standard shapes. With this function, it is possible to create a solid with a set of shapes.

Surfaces: Select surfaces to add to the polyhedron. It can be patches, shapes.

After the process, the polyhedron is checked. If all the surfaces are closed, then the polyhedron is considered as a solid.

Mesh

Convert a polyhedron, a surface, a shape or a perforated facet to a meshed polyhedron. A meshed polyhedron is a polyhedron composed only with triangulated shapes.

Surfaces: Select surfaces to be meshed. It can be patches, solids, shapes or perforated shapes.

 


Copyright © Régis Le Boité 1998