Adjusting the energies of curves defined by control points

• Published in: Computer aided design Vol. 107; pp. 77 - 88
• Main Authors: Juhász, Imre, Róth, Ágoston
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01.02.2019; Elsevier BV
• Subjects: CAD; Computer aided design; Continuity; Continuity (mathematics); Control point modification; Curve and surface fairing; Energy conservation; Energy minimization; Functionals; Gap filling; Interpolation; Learning curves; Mathematical models; Smoothing; Tensors; Gap filling; Interpolation; Energy minimization; Smoothing; Control point modification; Curve and surface fairing

We consider curves which are determined by the combination of control points and blending functions, and adjust their shape by energy functionals. We move selected control points of the curve while the rest of them are fixed, and find those positionsof the movable control points which minimize the g...