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In mathematics and its applications, the signed distance function or signed distance field (SDF) is the orthogonal distance of a given point x to the boundary of a set Ω in a metric space (such as the surface of a geometric shape), with the sign determined by whether or not x is in the interior of Ω.
As an example, a distance of 1500 millimeters might be denoted by (1500 mm) instead of 1500 mm REF. This implementation has followed in modern CAD software that makes use of parentheses as the default denotation method whenever reference dimensions are "automatically" created by the software. The method for identifying a reference dimension (or ...
CAD: computer-aided design, computer-aided drafting; cadmium [plating]: CAGE: Commercial and Government Entity [code]: A CAGE code is a unique identifier to label an entity (that is, a specific government agency or corporation at a specific site) that is a CDA, ODA, or MFR of the part defined by the drawing.
The isometric transform from a point a x,y,z in 3D space to a point b x,y in 2D space looking into the first octant can be written mathematically with rotation matrices as: [] = [ ] [ ] [] = [] []
In computer-aided design the preferred term for a parallel curve is offset curve. [ 2 ] [ 3 ] [ 4 ] (In other geometric contexts, the term offset can also refer to translation . [ 5 ] ) Offset curves are important, for example, in numerically controlled machining , where they describe, for example, the shape of the cut made by a round cutting ...
Any X ⊂ ℝ 3 can be turned into a closed regular set or "regularized" by taking the closure of its interior, and thus the modeling space of solids is mathematically defined to be the space of closed regular subsets of ℝ 3 (by the Heine-Borel theorem it is implied that all solids are compact sets). In addition, solids are required to be ...
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In mathematics, a spherical coordinate system specifies a given point in three-dimensional space by using a distance and two angles as its three coordinates. These are the radial distance r along the line connecting the point to a fixed point called the origin; the polar angle θ between this radial line and a given polar axis; [a] and