K-statistical operators for set mathematical morphology
A generalization of the basic operators in mathematical morphology is presented in this paper. The resulting generalization lead to the construction of the k-statistical operators, due to its ability to obtain geometricaly the statistical descriptors within the range of the operator (Z={0,1}). Thes...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universidad de Antioquia
2013-08-01
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| Series: | Revista Facultad de Ingeniería Universidad de Antioquia |
| Subjects: | |
| Online Access: | https://revistas.udea.edu.co/index.php/ingenieria/article/view/16532 |
| _version_ | 1797861684189069312 |
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| author | Juan Santiago Díaz de León Arturo Gamino Julio Salgado Valentín Trujillo |
| author_facet | Juan Santiago Díaz de León Arturo Gamino Julio Salgado Valentín Trujillo |
| author_sort | Juan Santiago Díaz de León |
| collection | DOAJ |
| description |
A generalization of the basic operators in mathematical morphology is presented in this paper. The resulting generalization lead to the construction of the k-statistical operators, due to its ability to obtain geometricaly the statistical descriptors within the range of the operator (Z={0,1}). These operators can be less strict as to the expected result as in the basic operators of dilation and erosion. Furthermore, a single k-statistical operator represents a functional complete set that includes erosion and dilation as particular cases. In a k-statistical operator, the condition to obtain the resulting set depends on whether the area (number of elements) of intersection between the translated structural set and the original set is at least equal to k. As a consecuence, a single parameter (k) is able to create a manifold of operators ranging from erosion to dilation. Hence, other kinds of openings and closings with new behavior are created as alternative solutions to binary image processing problems.
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| first_indexed | 2024-04-09T22:07:04Z |
| format | Article |
| id | doaj.art-53ee1e5666614b42a3b96bd9606a4367 |
| institution | Directory Open Access Journal |
| issn | 0120-6230 2422-2844 |
| language | English |
| last_indexed | 2024-04-09T22:07:04Z |
| publishDate | 2013-08-01 |
| publisher | Universidad de Antioquia |
| record_format | Article |
| series | Revista Facultad de Ingeniería Universidad de Antioquia |
| spelling | doaj.art-53ee1e5666614b42a3b96bd9606a43672023-03-23T12:34:13ZengUniversidad de AntioquiaRevista Facultad de Ingeniería Universidad de Antioquia0120-62302422-28442013-08-014810.17533/udea.redin.16532K-statistical operators for set mathematical morphologyJuan Santiago Díaz de León0Arturo Gamino1Julio Salgado2Valentín TrujilloUniversidad Politécnica de PachucaUniversidad Politécnica de PachucaUniversidad Politécnica de Pachuca A generalization of the basic operators in mathematical morphology is presented in this paper. The resulting generalization lead to the construction of the k-statistical operators, due to its ability to obtain geometricaly the statistical descriptors within the range of the operator (Z={0,1}). These operators can be less strict as to the expected result as in the basic operators of dilation and erosion. Furthermore, a single k-statistical operator represents a functional complete set that includes erosion and dilation as particular cases. In a k-statistical operator, the condition to obtain the resulting set depends on whether the area (number of elements) of intersection between the translated structural set and the original set is at least equal to k. As a consecuence, a single parameter (k) is able to create a manifold of operators ranging from erosion to dilation. Hence, other kinds of openings and closings with new behavior are created as alternative solutions to binary image processing problems. https://revistas.udea.edu.co/index.php/ingenieria/article/view/16532Mathematical morphologydilatationerosionopeningclosing |
| spellingShingle | Juan Santiago Díaz de León Arturo Gamino Julio Salgado Valentín Trujillo K-statistical operators for set mathematical morphology Revista Facultad de Ingeniería Universidad de Antioquia Mathematical morphology dilatation erosion opening closing |
| title | K-statistical operators for set mathematical morphology |
| title_full | K-statistical operators for set mathematical morphology |
| title_fullStr | K-statistical operators for set mathematical morphology |
| title_full_unstemmed | K-statistical operators for set mathematical morphology |
| title_short | K-statistical operators for set mathematical morphology |
| title_sort | k statistical operators for set mathematical morphology |
| topic | Mathematical morphology dilatation erosion opening closing |
| url | https://revistas.udea.edu.co/index.php/ingenieria/article/view/16532 |
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