Topic
Affine involution
About: Affine involution is a research topic. Over the lifetime, 380 publications have been published within this topic receiving 4703 citations.
Papers published on a yearly basis
1 / 2
Papers
Journal Article•
TL;DR: In this paper, a translation and an affine transformation or an isometry are determined such that the image of Q approximates P as best as possible in the least squares sense. But they do not consider affine transformations.
Abstract: Let two point sets P and Q be given in R n. We determine a translation and an affine transformation or an isometry such that the image of Q approximates P as best as possible in the least squares sense.
34 citations
TL;DR: In this paper, the existence of an involution on double affine Hecke algebras was proved and proved in the theory of Macdonald polynomials.
Abstract: We prove the existence of an involution on double affine Hecke algebras. This involution plays a central role in the theory of Macdonald polynomials, being responsible for a Fourier type duality and allowing the construction of affine intertwiners.
31 citations
30 citations
Proceedings Article•
23 Aug 1997TL;DR: A new technique for affine reconstruction from two affine images is developed, which consists in first estimating the affine epipolar geometry and then performing a triangulation for each point match with respect to an implicit common affine basis.
Abstract: This paper addresses the recovery of structure and motion from two uncalibrated images of a scene under full perspective or under affine projection. Epipolar geometry, projective reconstruction, and affine reconstruction are elaborated in a way such that everyone having knowledge of linear algebra can understand the discussion without difficulty. A general expression of the fundamental matrix is derived which is valid for any projection model without lens distortion (including full perspective and affine camera). A new technique for affine reconstruction from two affine images is developed, which consists in first estimating the affine epipolar geometry and then performing a triangulation for each point match with respect to an implicit common affine basis. This technique is very efficient.
28 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2022 | 1 |
| 2021 | 1 |
| 2019 | 3 |
| 2018 | 1 |
| 2017 | 12 |
| 2016 | 19 |