Multi-Scale Singularity Trees: Soft-Linked Scale-Space Hierarchies

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Standard

Multi-Scale Singularity Trees: Soft-Linked Scale-Space Hierarchies. / Somchaipeng, Kerawit; Sporring, Jon; Kreiborg, Sven; Johansen, Peter.

Scale Space and PDE Methods in Computer Vision. <Forlag uden navn>, 2005. p. 97-106 (Lecture notes in computer science, Vol. 3459/2005).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Harvard

Somchaipeng, K, Sporring, J, Kreiborg, S & Johansen, P 2005, Multi-Scale Singularity Trees: Soft-Linked Scale-Space Hierarchies. in Scale Space and PDE Methods in Computer Vision. <Forlag uden navn>, Lecture notes in computer science, vol. 3459/2005, pp. 97-106, 5th International Conference on Scale-Space, Hofgeismar, Germany, 29/11/2010. https://doi.org/10.1007/11408031_9

APA

Somchaipeng, K., Sporring, J., Kreiborg, S., & Johansen, P. (2005). Multi-Scale Singularity Trees: Soft-Linked Scale-Space Hierarchies. In Scale Space and PDE Methods in Computer Vision (pp. 97-106). <Forlag uden navn>. Lecture notes in computer science Vol. 3459/2005 https://doi.org/10.1007/11408031_9

Vancouver

Somchaipeng K, Sporring J, Kreiborg S, Johansen P. Multi-Scale Singularity Trees: Soft-Linked Scale-Space Hierarchies. In Scale Space and PDE Methods in Computer Vision. <Forlag uden navn>. 2005. p. 97-106. (Lecture notes in computer science, Vol. 3459/2005). https://doi.org/10.1007/11408031_9

Author

Somchaipeng, Kerawit ; Sporring, Jon ; Kreiborg, Sven ; Johansen, Peter. / Multi-Scale Singularity Trees: Soft-Linked Scale-Space Hierarchies. Scale Space and PDE Methods in Computer Vision. <Forlag uden navn>, 2005. pp. 97-106 (Lecture notes in computer science, Vol. 3459/2005).

Bibtex

@inproceedings{a4f85440524211dd8d9f000ea68e967b,
title = "Multi-Scale Singularity Trees: Soft-Linked Scale-Space Hierarchies",
abstract = "We consider images as manifolds embedded in a hybrid of a high dimensional space of coordinates and features. Using the proposed energy functional and mathematical landmarks, images are partitioned into segments. The nesting of image segments occurring at catastrophe points in the scale-space is used to construct image hierarchies called Multi-Scale Singularity Trees (MSSTs). We propose two kinds of mathematical landmarks: extrema and saddles. Unlike all other similar methods proposed hitherto, our method produces soft-linked image hierarchies in the sense that all possible connections are suggested along with their energies. The information added makes possible for directly estimating the stability of the connection and hence the costs of transitions. Aimed applications of MSSTs include multi-scale pre-segmentation, image matching, sub-object extraction, and hierarchical image retrieval.",
author = "Kerawit Somchaipeng and Jon Sporring and Sven Kreiborg and Peter Johansen",
year = "2005",
doi = "10.1007/11408031_9",
language = "English",
isbn = "978-3-540-25547-5",
series = "Lecture notes in computer science",
publisher = "<Forlag uden navn>",
pages = "97--106",
booktitle = "Scale Space and PDE Methods in Computer Vision",
note = "null ; Conference date: 29-11-2010",

}

RIS

TY - GEN

T1 - Multi-Scale Singularity Trees: Soft-Linked Scale-Space Hierarchies

AU - Somchaipeng, Kerawit

AU - Sporring, Jon

AU - Kreiborg, Sven

AU - Johansen, Peter

N1 - Conference code: 5

PY - 2005

Y1 - 2005

N2 - We consider images as manifolds embedded in a hybrid of a high dimensional space of coordinates and features. Using the proposed energy functional and mathematical landmarks, images are partitioned into segments. The nesting of image segments occurring at catastrophe points in the scale-space is used to construct image hierarchies called Multi-Scale Singularity Trees (MSSTs). We propose two kinds of mathematical landmarks: extrema and saddles. Unlike all other similar methods proposed hitherto, our method produces soft-linked image hierarchies in the sense that all possible connections are suggested along with their energies. The information added makes possible for directly estimating the stability of the connection and hence the costs of transitions. Aimed applications of MSSTs include multi-scale pre-segmentation, image matching, sub-object extraction, and hierarchical image retrieval.

AB - We consider images as manifolds embedded in a hybrid of a high dimensional space of coordinates and features. Using the proposed energy functional and mathematical landmarks, images are partitioned into segments. The nesting of image segments occurring at catastrophe points in the scale-space is used to construct image hierarchies called Multi-Scale Singularity Trees (MSSTs). We propose two kinds of mathematical landmarks: extrema and saddles. Unlike all other similar methods proposed hitherto, our method produces soft-linked image hierarchies in the sense that all possible connections are suggested along with their energies. The information added makes possible for directly estimating the stability of the connection and hence the costs of transitions. Aimed applications of MSSTs include multi-scale pre-segmentation, image matching, sub-object extraction, and hierarchical image retrieval.

U2 - 10.1007/11408031_9

DO - 10.1007/11408031_9

M3 - Article in proceedings

SN - 978-3-540-25547-5

T3 - Lecture notes in computer science

SP - 97

EP - 106

BT - Scale Space and PDE Methods in Computer Vision

PB - <Forlag uden navn>

Y2 - 29 November 2010

ER -

ID: 5015303