Calculation and Geometric Interpretation of the Curvatures of Implicit Curves and Surfaces with Mathematica.
Rolando E. Ipanaqué-SilvaJhonny W. Eche-AntónElmer P. Díaz-ContrerasRicardo Velezmoro-LeónRobert Ipanaqué CheroPublished in: ICCSA (Workshops 1) (2024)
Keyphrases
- geometric interpretation
- gaussian curvature
- implicit polynomial
- principal curvatures
- space curves
- closed curves
- smooth curves
- geodesic paths
- free form
- differential geometry
- smooth surfaces
- surface geometry
- planar curves
- normal vectors
- geometric properties
- shape index
- three dimensional
- arbitrary topology
- algebraic curves
- calculation method
- principal curves
- curvature flow
- pose estimation
- curve fitting
- scale invariant
- geometric structure
- surface reconstruction
- surface registration
- critical points
- endpoints
- preserving transformations
- range data
- spline curve
- surface features
- shape space
- curve matching
- surface patches
- affine invariant
- surface normals