Junction detection and filtering: a morphological approach

Vicent CASELLES; Bartomeu COLL; Jean-Michel MOREL

doi:10.1109/icip.1996.559541

Junction detection and filtering: a morphological approach

Vicent CASELLES
, Bartomeu COLL
, Jean-Michel MOREL

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

5 Citations (Scopus)

Abstract

We discuss the physical generation process of images as a combination of basic operations: occlusions, transparencies and contrast changes. These operations generate the essential singularities which we call junctions. We deduce a mathematical and computational model for image analysis according to which the `atoms' of the image must be `pieces of level lines joining junctions', fitting the phenomenological description of Gaetano Kanizsa. A parameter free junction detection algorithm is proposed for the computation of the previously defined `atoms'. Then we propose an adequate modification of the morphological filtering algorithms so that they smooth the `atoms' without altering the junctions. Finally, we give some experiments on real and synthetic images.

Original language	English
Title of host publication	Proceedings of 3rd IEEE International Conference on Image Processing
Publisher	IEEE
Pages	493-496
Number of pages	4
Volume	1
ISBN (Print)	0780332598
DOIs	https://doi.org/10.1109/icip.1996.559541
Publication status	Published - 1996
Externally published	Yes
Event	3rd IEEE International Conference on Image Processing - Lausanne, Switzerland Duration: 16 Sept 1996 → 19 Sept 1996

Conference

Conference	3rd IEEE International Conference on Image Processing
Country/Territory	Switzerland
City	Lausanne
Period	16/09/96 → 19/09/96

Bibliographical note

Acknowledgments:
We thank J. Petitot, B. Teissier, M. Mairota, D. Pasquignon, J. Froment, J.P. d’Ales, A. Chambolle and F. Guichard for valuable discussions.

Funding

We acknowledge partial support by EC Project ”Mathematical Methods for Image Processing”, ref. ERBCBRXCT930095, DGICYT project, ref. PB94-1174 and CNES.

Access to Document

10.1109/icip.1996.559541

Cite this

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title = "Junction detection and filtering: a morphological approach",

abstract = "We discuss the physical generation process of images as a combination of basic operations: occlusions, transparencies and contrast changes. These operations generate the essential singularities which we call junctions. We deduce a mathematical and computational model for image analysis according to which the `atoms' of the image must be `pieces of level lines joining junctions', fitting the phenomenological description of Gaetano Kanizsa. A parameter free junction detection algorithm is proposed for the computation of the previously defined `atoms'. Then we propose an adequate modification of the morphological filtering algorithms so that they smooth the `atoms' without altering the junctions. Finally, we give some experiments on real and synthetic images.",

author = "Vicent CASELLES and Bartomeu COLL and Jean-Michel MOREL",

note = "Acknowledgments: We thank J. Petitot, B. Teissier, M. Mairota, D. Pasquignon, J. Froment, J.P. d{\textquoteright}Ales, A. Chambolle and F. Guichard for valuable discussions.; 3rd IEEE International Conference on Image Processing ; Conference date: 16-09-1996 Through 19-09-1996",

year = "1996",

doi = "10.1109/icip.1996.559541",

language = "English",

isbn = "0780332598",

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T1 - Junction detection and filtering: a morphological approach

AU - CASELLES, Vicent

AU - COLL, Bartomeu

AU - MOREL, Jean-Michel

N1 - Acknowledgments: We thank J. Petitot, B. Teissier, M. Mairota, D. Pasquignon, J. Froment, J.P. d’Ales, A. Chambolle and F. Guichard for valuable discussions.

PY - 1996

Y1 - 1996

N2 - We discuss the physical generation process of images as a combination of basic operations: occlusions, transparencies and contrast changes. These operations generate the essential singularities which we call junctions. We deduce a mathematical and computational model for image analysis according to which the `atoms' of the image must be `pieces of level lines joining junctions', fitting the phenomenological description of Gaetano Kanizsa. A parameter free junction detection algorithm is proposed for the computation of the previously defined `atoms'. Then we propose an adequate modification of the morphological filtering algorithms so that they smooth the `atoms' without altering the junctions. Finally, we give some experiments on real and synthetic images.

AB - We discuss the physical generation process of images as a combination of basic operations: occlusions, transparencies and contrast changes. These operations generate the essential singularities which we call junctions. We deduce a mathematical and computational model for image analysis according to which the `atoms' of the image must be `pieces of level lines joining junctions', fitting the phenomenological description of Gaetano Kanizsa. A parameter free junction detection algorithm is proposed for the computation of the previously defined `atoms'. Then we propose an adequate modification of the morphological filtering algorithms so that they smooth the `atoms' without altering the junctions. Finally, we give some experiments on real and synthetic images.

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U2 - 10.1109/icip.1996.559541

DO - 10.1109/icip.1996.559541

M3 - Conference paper (refereed)

AN - SCOPUS:0030385424

SN - 0780332598

VL - 1

SP - 493

EP - 496

BT - Proceedings of 3rd IEEE International Conference on Image Processing

PB - IEEE

T2 - 3rd IEEE International Conference on Image Processing

Y2 - 16 September 1996 through 19 September 1996

ER -

Junction detection and filtering: a morphological approach

Abstract

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Bibliographical note

Funding

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