Computer Graphics of Kinematic Surfaces

This work deals with some problems of constructing and graphical displaying for a class of kinematic surfaces generated by mutual moving ruled surfaces touching one another along their common ruling in each position [1,2]. Exactly, we are dealing with the surfaces generated by movement of a cone fixed ruling during combined movement of the cone with respect to a torse surface [2]. The movement is defined as a cone rotating with simultaneous movement of the cone vortex along the torse edge-of-regression so that both surfaces, the torse and the cone, touch one another along the common ruling [3-5]. The methods and program modules developed allow using a wide range of curves as a torse edge-of-regression and a cone guiding line. Since the program modules are implemented using some numerical methods the application of a new-type curve is reduced to define the curve within the program module. This computer implementation includes cylindrical circular and elliptical helixes, and lines based...

• Type: Conference
• Year: 2004
• Where: WSCG
• Authors: Galina S. Rachkovskaya, Yuriy N. Kharabayev, Natalia S. Rachkovskaya
• Keywords: Cone Fixed Ruling, Cone Guiding Line, Surfaces, WSCG 2004