Hough Transform for Detecting Space Curves in Digital 3D Models

Autor:	C. Romanengo, S. Biasotti, B. Falcidieno
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Algebraic geometry Hough transform Space curves Implicit and parametric curves
Zdroj:	Journal of mathematical imaging and vision (Dordr., Online) (2022). doi:10.1007/s10851-021-01066-8 info:cnr-pdr/source/autori:C. Romanengo, S. Biasotti and B. Falcidieno/titolo:Hough Transform for Detecting Space Curves in Digital 3D Models/doi:10.1007%2Fs10851-021-01066-8/rivista:Journal of mathematical imaging and vision (Dordr., Online)/anno:2022/pagina_da:/pagina_a:/intervallo_pagine:/volume
Popis:	We present and analyse the Hough transform (HT) to recognise and approximate space curves in digital models, a problem that is not currently addressed by the standard HT. Our method works on meshes and point clouds and applies to models even incomplete or affected by noise, thus being suitable for the analysis of digital models deriving from 3D scans. In our approach we take advantage of a recent HT formulation for algebraic curves to define both parametric and implicit space curve representations. We also provide a comparative analysis of the HT-based method when dealing with both curve representations, discussing the computational performance and the approximation accuracy of both strategies.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=cnr_________::42575ceb3bd932901a13bc818c8f405a https://link.springer.com/article/10.1007%2Fs10851-021-01066-8 Zobrazit plný text záznamu