Titlebook: Geometric Continuity of Curves and Surfaces; Przemys?aw Kiciak Book 2017 Springer Nature Switzerland AG 2017

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Introduction,ious. Shape matters also for nonmaterial objects. In computer animation the smoothness of a trajectory of a point often helps to imitate natural motion. Moreover, the smooth motion of a robot part may decrease forces in its mechanism and thus improve its durability.

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The Making of a Subversive Teacher curves meeting at the common point. For a surface of class . these . involve derivatives up to the order 2., and they cause trouble in constructions of smooth surfaces. In this chapter we study the compatibility conditions in detail, in order to understand them and to learn how to satisfy them in practical constructions.

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Book 2017actice of Computer-Aided Design and also a hot subject of research. It contains a description of the classical geometric spline curves and a solid theoretical basis for various constructions of smooth surfaces. Textbooks on computer graphics usually cover the most basic and necessary information abo

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The Economics of For-Profit Education The second arc may be constructed to interpolate the derivatives of this new parametrisation. The reparametrisation of the first arc is a function defined with a number of arbitrary constants; their modifications are a means of changing the shape of the second arc.

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Geometric continuity of curves, The second arc may be constructed to interpolate the derivatives of this new parametrisation. The reparametrisation of the first arc is a function defined with a number of arbitrary constants; their modifications are a means of changing the shape of the second arc.