Physically-based NURBS surface editing with curves

• Main Authors: Ma, Yuewen, Zheng, Jianmin, Wang, Kai
• Other Authors: School of Computer Engineering
• Format: Article
• Language: English
• Published: 2013
• Subjects: DRNTU::Engineering::Computer science and engineering
• Online Access: https://hdl.handle.net/10356/97365; http://hdl.handle.net/10220/13138
• Institution: Nanyang Technological University

This paper presents a physically-based approach for NURBS surface modification using curve handles. The approach consists of three steps: curve handle creation, target curve generation, and surface modification. The handle curve is a composite curve that is a composition of a NURBS surface and a 2D parametric curve defined in the parameter domain of the NURBS surface. The handle curve is treated as a physically-based dynamic curve whose formulation is derived directly based on the representation of the NURBS surface where the composition curve is defined. Then the target curve is generated as the result of dynamic evolution of the physically-based composition curve with external point forces. Finally, the initial handle curve and the target curve are used to define a curve force for the dynamic NURBS to modify the NURBS surface. The use of curves as shape handles makes the shape editing more effective and intuitive, and the incorporation of physics into geometric modeling makes the modeling process meaningful and the resulting surface smooth. Examples are provided to demonstrate the effectiveness and capability of the proposed NURBS manipulation method.