Total absolute curvature estimation

Cites Work

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Properties of Gauss digitized shapes and digital surface integration
Curvature entropy for curved profile generation
Integral invariants for robust geometry processing
Inequalities for the curvature of curves and surfaces
Preserving topology by a digitization process
Über Krümmung und Windung geschlossener Raumkurven.
Über die Schwarzsche Extremaleigenschaft des Kreises unter den Kurven konstanter Krümmung.
Une méthode géométrique élémentaire pour l'étude de certaines questions de la théorie des courbes planes.
On a curve which entirely fills a plane domain.
Locally turn-bounded curves are quasi-regular
Local turn-boundedness: a curvature control for continuous curves with application to digitization
Multigrid convergence for the MDCA curvature estimator
Non-local length estimators and concave functions
On the total curvature of knots
Monotonic sampling of a continuous closed curve with respect to its Gauss digitization: application to length estimation
Accurate Curvature Estimation along Digital Contours with Maximal Digital Circular Arcs
Curvature Measures
Robust and Convergent Curvature and Normal Estimators with Digital Integral Invariants
Multigrid Convergence of Discrete Geometric Estimators
Multigrid-convergence of digital curvature estimators
Characterizing Digital Convexity and Straightness in Terms of “Length” and “Total Absolute Curvature”
Integral Based Curvature Estimators in Digital Geometry
Molecular shape analysis based upon the morse-smale complex and the connolly function
Convex functions and their applications. A contemporary approach
Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions

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