From Circles to Convex Bodies: Approximating Curved Shapes by Polytopes
Fuente:
arXiv
Saved in:
| Main Author: | Hoehner, Steven |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
One polytope fits all: Characterization of the Euclidean ball via simultaneous intrinsic volume approximation
by: Hoehner, Steven
Published: (2026)
by: Hoehner, Steven
Published: (2026)
Approximation of the Euclidean ball by polytopes with a fixed number of $k$-faces
by: Hoehner, Steven, et al.
Published: (2025)
by: Hoehner, Steven, et al.
Published: (2025)
Blaschke operations on log-concave functions and affine isoperimetric inequalities
by: Chasioti, Effrosyni, et al.
Published: (2026)
by: Chasioti, Effrosyni, et al.
Published: (2026)
An extremal property of the symmetric decreasing rearrangement
by: Hoehner, Steven, et al.
Published: (2023)
by: Hoehner, Steven, et al.
Published: (2023)
On Minkowski symmetrizations of $α$-concave functions and related applications
by: Hoehner, Steven
Published: (2023)
by: Hoehner, Steven
Published: (2023)
On Axial Symmetry in Convex Bodies
by: Goenka, Ritesh, et al.
Published: (2023)
by: Goenka, Ritesh, et al.
Published: (2023)
Valuations on Convex Bodies and Functions
by: Ludwig, Monika, et al.
Published: (2023)
by: Ludwig, Monika, et al.
Published: (2023)
Inequalities for sections and projections of log-concave functions
by: Tziotziou, Natalia
Published: (2025)
by: Tziotziou, Natalia
Published: (2025)
Kubota-type formulas and supports of mixed measures
by: Hug, Daniel, et al.
Published: (2024)
by: Hug, Daniel, et al.
Published: (2024)
Uniqueness when the $L_p$ curvature is close to be a constant for $p\in[0,1)$
by: Böröczky, Károly J., et al.
Published: (2023)
by: Böröczky, Károly J., et al.
Published: (2023)
On the minimal area of quadrangles circumscribed about planar convex bodies
by: Fodor, Ferenc, et al.
Published: (2025)
by: Fodor, Ferenc, et al.
Published: (2025)
On asymptotic Lebesgue's universal covering problem
by: Arman, Andrii, et al.
Published: (2025)
by: Arman, Andrii, et al.
Published: (2025)
Surface areas of equifacetal polytopes inscribed in the unit sphere $\mathbb{S}^2$
by: Freeman, Nicolas, et al.
Published: (2022)
by: Freeman, Nicolas, et al.
Published: (2022)
Godbersen's conjecture for locally anti-blocking bodies
by: Sadovsky, Shay
Published: (2023)
by: Sadovsky, Shay
Published: (2023)
A strengthening of the Blaschke-Santaló inequality for $o$-symmetric planar convex bodies
by: Böröczky, Károly J., et al.
Published: (2026)
by: Böröczky, Károly J., et al.
Published: (2026)
Generalized outer linearizations and extremal properties of rotational epi-symmetrizations
by: Hoehner, Steven, et al.
Published: (2026)
by: Hoehner, Steven, et al.
Published: (2026)
A Comprehensive Definition of the Geometric Mean of Convex Bodies Based on Relations Between Their $p$-Means
by: Brandenberg, René, et al.
Published: (2023)
by: Brandenberg, René, et al.
Published: (2023)
New fiber and graph combinations of convex bodies
by: Hoehner, Steven, et al.
Published: (2025)
by: Hoehner, Steven, et al.
Published: (2025)
Smooth valuations on convex bodies and finite linear combinations of mixed volumes
by: Knoerr, Jonas
Published: (2023)
by: Knoerr, Jonas
Published: (2023)
Additive kinematic formulas for convex functions
by: Hug, Daniel, et al.
Published: (2024)
by: Hug, Daniel, et al.
Published: (2024)
Affine Quermassintegrals and Even Minkowski Valuations
by: Hofstätter, Georg C., et al.
Published: (2024)
by: Hofstätter, Georg C., et al.
Published: (2024)
General Measure Extensions of Projection Bodies
by: Langharst, Dylan, et al.
Published: (2021)
by: Langharst, Dylan, et al.
Published: (2021)
Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations
by: Bernig, Andreas, et al.
Published: (2023)
by: Bernig, Andreas, et al.
Published: (2023)
An Algorithm for Approximating the Metric Projection onto a Superelliptic Disk
by: Fodor, Valerian-Alin, et al.
Published: (2026)
by: Fodor, Valerian-Alin, et al.
Published: (2026)
Convex bodies of constant width with exponential illumination number
by: Arman, Andrii, et al.
Published: (2023)
by: Arman, Andrii, et al.
Published: (2023)
On the volume of the Minkowski sum of zonoids
by: Fradelizi, Matthieu, et al.
Published: (2022)
by: Fradelizi, Matthieu, et al.
Published: (2022)
On $L_p$ Brunn-Minkowski type inequalities for a general class of functionals
by: Malagón, Lidia Gordo, et al.
Published: (2025)
by: Malagón, Lidia Gordo, et al.
Published: (2025)
Convexity of Radial Mean Bodies via an extension of Ball's Bodies
by: Langharst, Dylan
Published: (2026)
by: Langharst, Dylan
Published: (2026)
The $L_p$ dual Minkowski problem for unbounded closed convex sets
by: Ai, Wen, et al.
Published: (2024)
by: Ai, Wen, et al.
Published: (2024)
On Hadwiger's covering problem in small dimensions
by: Arman, Andrii, et al.
Published: (2024)
by: Arman, Andrii, et al.
Published: (2024)
Illuminating 1-unconditional convex bodies in ${\mathbb R}^3$ and ${\mathbb R}^4$, and certain cases in higher dimensions
by: Sun, Wen Rui, et al.
Published: (2024)
by: Sun, Wen Rui, et al.
Published: (2024)
On the illumination of 1-symmetric convex bodies
by: Sun, Wen Rui, et al.
Published: (2024)
by: Sun, Wen Rui, et al.
Published: (2024)
Weighted Berwald's Inequality
by: Langharst, Dylan, et al.
Published: (2022)
by: Langharst, Dylan, et al.
Published: (2022)
The $m$th order Orlicz projection bodies
by: Zhou, Xia, et al.
Published: (2025)
by: Zhou, Xia, et al.
Published: (2025)
Spherical coverings and X-raying convex bodies of constant width
by: Bondarenko, A., et al.
Published: (2020)
by: Bondarenko, A., et al.
Published: (2020)
Complex and Quaternionic Analogues of Busemann's Random Simplex and Intersection Inequalities
by: Saroglou, Christos, et al.
Published: (2024)
by: Saroglou, Christos, et al.
Published: (2024)
Some comments on the mth-order Projection Bodies
by: Langharst, Dylan
Published: (2025)
by: Langharst, Dylan
Published: (2025)
Variances and central limit theorems for random beta-polytopes and in other geometric models
by: Fodor, Ferenc, et al.
Published: (2025)
by: Fodor, Ferenc, et al.
Published: (2025)
The Klain approach to zonal valuations
by: Brauner, Leo, et al.
Published: (2024)
by: Brauner, Leo, et al.
Published: (2024)
Intrinsic volumes of $\ell_p$-balls and a continuum of Maxwell--Poincaré--Borel laws for their curvature measures
by: Kabluchko, Zakhar, et al.
Published: (2026)
by: Kabluchko, Zakhar, et al.
Published: (2026)
Similar Items
-
One polytope fits all: Characterization of the Euclidean ball via simultaneous intrinsic volume approximation
by: Hoehner, Steven
Published: (2026) -
Approximation of the Euclidean ball by polytopes with a fixed number of $k$-faces
by: Hoehner, Steven, et al.
Published: (2025) -
Blaschke operations on log-concave functions and affine isoperimetric inequalities
by: Chasioti, Effrosyni, et al.
Published: (2026) -
An extremal property of the symmetric decreasing rearrangement
by: Hoehner, Steven, et al.
Published: (2023) -
On Minkowski symmetrizations of $α$-concave functions and related applications
by: Hoehner, Steven
Published: (2023)