English

Aspl{\"u}nd's metric defined in the Logarithmic Image Processing (LIP) framework for colour and multivariate images

Computer Vision and Pattern Recognition 2018-06-24 v1

Abstract

Aspl{\"u}nd's metric, which is useful for pattern matching, consists in a double-sided probing, i.e. the over-graph and the sub-graph of a function are probed jointly. It has previously been defined for grey-scale images using the Logarithmic Image Processing (LIP) framework. LIP is a non-linear model to perform operations between images while being consistent with the human visual system. Our contribution consists in extending the Aspl{\"u}nd's metric to colour and multivariate images using the LIP framework. Aspl{\"u}nd's metric is insensitive to lighting variations and we propose a colour variant which is robust to noise.

Keywords

Cite

@article{arxiv.1803.00764,
  title  = {Aspl{\"u}nd's metric defined in the Logarithmic Image Processing (LIP) framework for colour and multivariate images},
  author = {Guillaume Noyel and Michel Jourlin},
  journal= {arXiv preprint arXiv:1803.00764},
  year   = {2018}
}
R2 v1 2026-06-23T00:39:09.202Z