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Kubity was created by SPK Technology (ex Kubity S.A.S.), a Paris-based software company specializing in automatic 3D data optimization and visualization. Founded in 2012 by a group of software engineers and an urban projects developer, they united around a simple idea: create a way for anyone, anywhere to simply and intuitively explore 3D models on smartphones and computers.
In November 2017, SketchUp Free was released as a web-based application which replaces SketchUp Make. [25] Drawings can be saved to the cloud, saved locally as a native SKP file, or exported as an STL file. Compared to Make, SketchUp Free does not support extensions, creation, and editing of materials. The product is not for commercial use. [26]
ArcGIS CityEngine is a commercial three-dimensional (3D) modeling program developed by Esri R&D Center Zurich (formerly Procedural Inc.) and specialises in the generation of 3D urban environments. Using a procedural modeling approach, it supports the creation of detailed large-scale 3D city models.
A smooth curve that is not closed is often referred to as a smooth arc. [6] The parametrization of a curve provides a natural ordering of points on the curve: () comes before () if <. This leads to the notion of a directed smooth curve. It is most useful to consider curves independent of the specific parametrization.
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Slerp has a geometric formula independent of quaternions, and independent of the dimension of the space in which the arc is embedded. This formula, a symmetric weighted sum credited to Glenn Davis, is based on the fact that any point on the curve must be a linear combination of the ends.
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Smooth functions with given closed support are used in the construction of smooth partitions of unity (see partition of unity and topology glossary); these are essential in the study of smooth manifolds, for example to show that Riemannian metrics can be defined globally starting from their local existence.