The Research Of Morphological Operator Based On Rotation Transform

As an emerging subject, mathematical morphology has received widespread attention in recent years. The research content quickly developed from the original translation invariant morphology operators to the space variant morphological operators, this article discusses the type of structure dimension changes of morphological operators which namely rotation transform morphological operator in Euclidean space, and gives expression and some algebraic properties of morphological operator based on rotation transform, compares the translation invariant morphological operator and the rotation transformation morphological operator function on the same image rendering. In this paper, the research content mainly includes the following aspects:1, The algebra representation and the properties of binary morphological operator based on rotation transform;From the perspective of binary morphology, summarize translation invariant expression of binary operator and the properties of these operators, then from the expression of translation invariant binary morphological erosion and dilation's algebraic significance, research the rotation transformation expression forms and characteristics of binary morphological operator.2, The algebra representation of gray-scale morphological operators which base on the rotation transform;In Euclidean space through a translation invariant binary morphological operator and translation invariant gray-scale morphology operator algebra representation,adopt the method of shadow transformation, establish the algebraic representation of gray-scale morphology rotational transform operator.3, Compare and analysis the results of translation invariant operator and rotation transform function on the same image;From the perspective of the experiment, compare the image which is acted on erosion and dilation of translation invariant morphological operator and rotation transformation morphological operator, demonstrate that the effect of different image processing is different by different erosion and dilation.