Complete SE(3) Invariants for a Comeagre Set of C3 Compact Orientable Surfaces in R3

Yair Hayut; David Lehavi

doi:10.1137/21M1445776

Complete SE(3) Invariants for a Comeagre Set of C³ Compact Orientable Surfaces in R³

Yair Hayut, David Lehavi

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce invariants for compact C¹-orientable surfaces (with boundary) in ℝ³ up to rigid transformations. Our invariants are certain degree four polynomials in the moments of the delta function of the surface. We give an effective algorithm for retrieving successive approximations of surface from successive prefixes of the invariants, which works on a comeagre subset of C³-surfaces. The reconstruction algorithm is continuous in numerical geometric properties of the surface in question.

Original language	English
Pages (from-to)	311-344
Number of pages	34
Journal	SIAM Journal on Applied Algebra and Geometry
Volume	7
Issue number	2
DOIs	https://doi.org/10.1137/21M1445776
State	Published - 2023

Bibliographical note

Publisher Copyright:
© 2023 Y. Hayut and D. Lehavi.

Keywords

Fourier
distribution
invariants
surfaces

Access to Document

10.1137/21M1445776

Cite this

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