Median Filtering by Threshold Decomposition: Induction Proof
نویسندگان
چکیده
منابع مشابه
Nonlinear filtering by threshold decomposition
A new threshold decomposition architecture is introduced to implement stack filters. The architecture is also generalized to a new class of nonlinear filters known as threshold decomposition (TD) filters which are shown to be equivalent to the class of L1-filters under certain conditions. Another new class of filters known as linear and order statistic (LOS) filters result from the intersection...
متن کاملNoise reduction by vector median filtering
The scalar median filter (SMF) is often used to reduce noise in scalar geophysical data. We present an extension of the SMF to a vector median filter (VMF) for suppressing noise contained in geophysical data represented by multidimensional, multicomponent vector fields. Although the SMF can be applied to each component of a vector field individually, the VMF is applied to all components simulta...
متن کاملA Beautiful Proof by Induction
The purpose of this note is to present an example of a proof by induction that in the opinion of the present author has great aesthetic value. The proof in question is Thomassen’s proof that planar graphs are 5-choosable. I give a self-contained presentation of this result and its proof, and a personal account of why I think this proof is beautiful. A secondary purpose is to more widely publici...
متن کاملProof of the Median Paths
We consider the problem of coding for discrete memoryless channels with noiseless feedback. When studying Horstein’s sequential coding scheme, Schalkwijk in 1971 found a regular behaviour of the so-called median paths for certain channel error probabilities, which led to the development of repetition strategies. We proof that Schalkwijk’s block decoding scheme exactly follows Horstein’s regular
متن کاملMedical Image Enhancement Techniques by Bottom Hat and Median Filtering
This paper presents an efficient method for medical 2-D image enhancement technique using median and bottom hat filtering, that can also be used in image processing such as medical image reconstruction, image smoothing, feature extraction and image analysis. We present a comparison of these filters using the medical images. After filtering also the input image or actual image have some noise th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Undergraduate Research Online
سال: 2018
ISSN: 2327-7807
DOI: 10.1137/18s017120