title: Real-time resolution of self-intersection in dynamic cylindrical free-form deformation.
abstract: This paper presents a method of self-intersection detection and resolution for dynamic cylindrical-lattice-based free-form deformation (FFD). The lattice-based approach allows efficient computation of deformation of complex geometries. But excessive deformation can cause visual anomalies such as surface infiltration and distortion. This paper derives a geometrically intuitive sufficient condition to guarantee that the FFD function is a homeomorphism and there is no self-intersection. The FFD function is defined by linear and quadratic B-Spline functions with the control points of the cylindrical lattice cell. The sufficient condition is satisfied if each trilinear function of the nine prism-shaped pentahedrons derived from the cell has a positive Jacobian determinant. The positivity is satisfied if the 12 tetrahedrons derived from the pentahedron have positive volumes. Based on the sufficient condition, the proposed method converts the self-intersection problem into a point-face collision detection and response problem suitable for dynamic simulation. The efficiency and accuracy of the self-intersection detection algorithm is analyzed and compared with a previous method. The results show that the proposed technique allows simulation of excessive deformation of tubular objects in an efficient and realistic manner.
authors.affiliation: Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Daejeon, Republic of Korea. sokna@kaist.ac.kr
authors.forename: Woojin
authors.initials: W
authors.lastname: Ahn
authors.forename: Doo Yong
authors.initials: DY
authors.lastname: Lee
mesh_terms: D000465:Algorithms; D003113:Colonoscopy; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008962:Models, Theoretical