# Shape Registration with Directional Data

arXiv: https://arxiv.org/abs/1708.07791 · HTML: https://mlsanity.com/paper/1708.07791/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Aug 2017.

## Built on by (most cited first, 1 of 1)

- [Sliced L2 Distance for Colour Grading](https://mlsanity.com/paper/2102.09297/) (2021)

## Abstract (arXiv)

We propose several cost functions for registration of shapes encoded with Euclidean and/or non-Euclidean information (unit vectors). Our framework is assessed for estimation of both rigid and non-rigid transformations between the target and model shapes corresponding to 2D contours and 3D surfaces. The experimental results obtained confirm that using the combination of a point's position and unit normal vector in a cost function can enhance the registration results compared to state of the art methods.