Topology preserving alternating sequential filter for smoothing two-dimensional and three-dimensional objects

Topology preserving alternating sequential filter for smoothing 2D and 3D objects

We introduce the homotopic alternating sequential filter as a new method for smoothing 2D and 3D objects in binary images. Unlike existing methods, our method offers a strict guarantee of topology preservation. This property is ensured by the exclusive use of homotopic transformations defined in the framework of digital topology. Smoothness is obtained by the use of morphological openings and c...

Introduction to a simple yet effective Two-Dimensional Fuzzy Smoothing Filter

Annihilation or reduction of each kind of noise blended in correct data signals is a field that has attracted many researchers. It is a fact that fuzzy theory presents full capability in this field. Fuzzy filters are often strong in smoothing corrupted signals, whereas they have simple structures. In this paper, a new powerful yet simple fuzzy procedure is introduced for sharpness reduction in ...

Two and Three-Dimensional Seepage Analysis of Earth Dams Considering Horizontal Filter Blanket Effects (RESEARCH NOTE)

Local Three-Dimensional Shape-Preserving Smoothing without Shrinkage

Design of a novel three-dimensional ( 3 0 ) shapepreserving smoothing approach is described. Threedimensional surfaces are smoothed without shrinkage arti facts typical for m a n y other approaches. Using o u r n e w representation of t h e 30 surface, t he process of smoothing per forms substantially f a s t e r t h a n direct convolution in t h e spatial domain . T h e approach shows good smo...

Regularized Locality Preserving Projections with Two-Dimensional Discretized Laplacian Smoothing

A novel approach to linear dimensionality reduction is introduced that is based on Locality Preserving Projections (LPP) with a discretized Laplacian smoothing term. The choice of penalty allows us to incorporate prior information that some features may be correlated. For example, an n1 × n2 image represented in the plane is intrinsically a matrix. The pixels spatially close to each other may b...