Reconstruction of intersecting surface models from scanned data for styling design

Tsuchie, Shoichi

doi:10.1007/s00366-019-00817-x

Cited by 6 publications

(1 citation statement)

References 20 publications

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“…However, discrete frame theory serves as a valuable and effective means to address this limitation. This theory has numerous applications in computer graphics and geometry processing, including curve fitting, shape analysis, and other related areas [ 14 , 15 , 16 ]. The integration of discrete frame theory with other theoretical frameworks and experimental methods significantly enhances our understanding of DNA behavior.…”

Section: Introductionmentioning

confidence: 99%

Exploration of the Character Representation of DNA Chiral Conformations and Deformations via a Curved Surface Discrete Frenet Frame

Wang,

Zhang

et al. 2023

IJMS

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While undergoing structural deformation, DNA experiences changes in the interactions between its internal base pairs, presenting challenges to conventional elastic methods. To address this, we propose the Discrete Critical State (DCS) model in this paper. This model combines surface discrete frame theory with gauge theory and Landau phase transition theory to investigate DNA’s structural deformation, phase transitions, and chirality. Notably, the DCS model considers both the internal interactions within DNA and formulates an overall equation using unified physical and geometric parameters. By employing the discrete frame, we derive the evolution of physical quantities along the helical axis of DNA, including geodesic curvature, geodesic torsion, and others. Our findings indicate that B-DNA has a significantly lower free energy density compared to Z-DNA, which is in agreement with experimental observations. This research reveals that the direction of base pairs is primarily governed by the geodesic curve within the helical plane, aligning closely with the orientation of the base pairs. Moreover, the geodesic curve has a profound influence on the arrangement of base pairs at the microscopic level and effectively regulates the configuration and geometry of DNA through macroscopic-level free energy considerations.

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Section: Introductionmentioning

confidence: 99%