Highly Accurate PDE-Based Morphology for General Structuring Elements
نویسندگان
چکیده
Modelling the morphological processes of dilation and erosion with convex structuring elements with partial differential equations (PDEs) allows for digital scalability and subpixel accuracy. However, numerical schemes suffer from blur by dissipative artifacts. In our paper we present a family of so-called flux-corrected transport (FCT) schemes that addresses this problem for arbitrary convex structuring elements. The main characteristics of the FCT-schemes are: (i) They keep edges very sharp during the morphological evolution process, and (ii) they feature a high rotational invariance. Numerical experiments with diamonds and ellipses as structuring elements show that FCT-schemes are superior to standard schemes in the field of PDE-based morphology.
منابع مشابه
Highly Accurate Schemes for PDE-Based Morphology with General Structuring Elements
The two fundamental operations in morphological image processing are dilation and erosion. These processes are defined via structuring elements. It is of practical interest to consider a variety of structuring element shapes. The realisation of dilation/erosion for convex structuring elements by use of partial differential equations (PDEs) allows for digital scalability and subpixel accuracy. H...
متن کاملPartial-result-reuse architecture and its design technique for morphological operations
This paper proposes a new cost-effective architecture for mathematical morphology named Partial-Result-Reuse (PRR) architecture. For a lot of real-time applications of mathematical morphology, the hardware implementation is necessary; however, the hardware cost of almost existing morphology architectures is too high when dealing with large structuring elements. With partial-resultreuse concept ...
متن کاملA Partial-result-reuse Architecture and Its Design Technique for Morphological Operations
This paper proposes a new cost-effective architecture for mathematical morphology named Partial-Result-Reuse (PRR) architecture. For a lot of real-time applications of mathematical morphology, the hardware implementation is necessary; however, the hardware cost of almost existing morphology architectures is too high when dealing with large structuring elements. With partial-resultreuse concept ...
متن کاملMathematical morphology: The Hamilton-Jacobi connection
In this paper we complement the standard algebraic view of mathematical morphology with a geometric, di erential view. Three observations underlie this approach: 1) certain structuring elements (convex) are scalable in that a sequence of repeated operations is equivalent to a single operation, but with a larger structuring element of the same shape; 2) to determine the outcome of the operation,...
متن کاملRegion Growing Structuring Elements and New Operators Based on Their Shape
This paper proposes new adaptive structuring elements in the framework of mathematical morphology. These structuring elements (SEs) have a fixed size but they adapt their shape to the image content by choosing, recursively, similar pixels in gray-scale, with regard to the seed pixel. These new SEs are called region growing structuring elements (REGSEs). Then, we introduce an original method to ...
متن کامل