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As with Bézier curves, a Bézier surface is defined by a set of control points. Similar to interpolation in many respects, a key difference is that the surface does not, in general, pass through the central control points; rather, it is "stretched" toward them as though each were an attractive force.
Following is a list of notable software, computer programs, used to develop a mathematical representation of any three dimensional surface of objects, as 3D computer graphics, also called 3D modeling.
Font engines, like FreeType, draw the font's curves (and lines) on a pixellated surface using a process known as font rasterization. [12] Typically font engines and vector graphics engines render Bézier curves by splitting them recursively up to the point where the curve is flat enough to be drawn as a series of linear or circular segments.
SketchUp is a 3D modeling software that is used to create and manipulate 3D models. It is used in architecture and interior design.. SketchUp is owned by Trimble Inc. The software has a free web-based version, and three paid subscriptions to gain access to applications for Windows and macOS.
In computer graphics, free-form deformation (FFD) is a geometric technique used to model simple deformations of rigid objects. It is based on the idea of enclosing an object within a cube or another hull object, and transforming the object within the hull as the hull is deformed.
Constructive solid geometry allows a modeler to create a complex surface or object by using Boolean operators to combine simpler objects, [1] potentially generating visually complex objects by combining a few primitive ones. [2] [3] In 3D computer graphics and CAD, CSG is often used in procedural modeling.
The generators of any ruled surface coalesce with one family of its asymptotic lines. For developable surfaces they also form one family of its lines of curvature. It can be shown that any developable surface is a cone, a cylinder, or a surface formed by all tangents of a space curve. [5] Developable connection of two ellipses and its development
The curved surface, the underlying inner mesh, [1] can be calculated from the coarse mesh, known as the control cage or outer mesh, as the functional limit of an iterative process of subdividing each polygonal face into smaller faces that better approximate the final underlying curved surface. Less commonly, a simple algorithm is used to add ...