Aesthetic Control of Free-Form Curves and Surfaces

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The purpose of this research is to generate highly aesthetic curves and surfaces, such as car body shapes, by using computers with interactive and intuitive operations. We had already proposed 'log-aesthetic curves', a class of highly aesthetic curves involved in real shapes. For those curves, we realized approximation techniques with existing curve forms and interactive control methods. Then, we extended them to space curves, clarified its theoretical features, and proposed interactive control methods. Also, we proposed generation and control techniques for an aesthetic surface patch based on given two log-aesthetic curves.