# Morphology for Image Processing. Part I

Hiroshi Yamazaki; Czesław Byliński; Katsumi Wasaki

Formalized Mathematics (2012)

- Volume: 20, Issue: 1, page 61-63
- ISSN: 1426-2630

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topHiroshi Yamazaki, Czesław Byliński, and Katsumi Wasaki. "Morphology for Image Processing. Part I." Formalized Mathematics 20.1 (2012): 61-63. <http://eudml.org/doc/267709>.

@article{HiroshiYamazaki2012,

abstract = {In this article we defined mathematical morphology image processing with set operations. First, we defined Minkowski set operations and proved their properties. Next, we defined basic image processing, dilation and erosion proving basic fact about them [5], [8].},

author = {Hiroshi Yamazaki, Czesław Byliński, Katsumi Wasaki},

journal = {Formalized Mathematics},

language = {eng},

number = {1},

pages = {61-63},

title = {Morphology for Image Processing. Part I},

url = {http://eudml.org/doc/267709},

volume = {20},

year = {2012},

}

TY - JOUR

AU - Hiroshi Yamazaki

AU - Czesław Byliński

AU - Katsumi Wasaki

TI - Morphology for Image Processing. Part I

JO - Formalized Mathematics

PY - 2012

VL - 20

IS - 1

SP - 61

EP - 63

AB - In this article we defined mathematical morphology image processing with set operations. First, we defined Minkowski set operations and proved their properties. Next, we defined basic image processing, dilation and erosion proving basic fact about them [5], [8].

LA - eng

UR - http://eudml.org/doc/267709

ER -

## References

top- Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
- Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
- Yuzhong Ding and Xiquan Liang. Preliminaries to mathematical morphology and its properties. Formalized Mathematics, 13(2):221-225, 2005.
- Noboru Endou, Takashi Mitsuishi, and Yasunari Shidama. Dimension of real unitary space. Formalized Mathematics, 11(1):23-28, 2003.
- H. J. A. M. Heijimans. Morphological Image Operators. Academic Press, 1994.
- Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.
- Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990.
- P. Soille. Morphological Image Analysis: Principles and Applications. Springer, 2003. Zbl1012.68212
- Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.
- Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.

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