Results 151 to 160 of about 2,294 (185)

Fractal interpolation for natural images

Proceedings 1999 International Conference on Image Processing (Cat. 99CH36348), 2003
This paper proposes a fractal interpolation for natural images. Generally, linear interpolation and spline interpolation are used for image interpolation. However, an image interpolated by the above conventional methods loses some high-frequency components of an original image. The loss of components lowers fidelity of the interpolated images.
Hiroyuki Honda, Miki Haseyama, Hideo Kitajima   +2 more
openaire   +1 more source

Fractal Multiquadric Interpolation Functions

SIAM Journal on Numerical Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Kumar, A. K. B. Chand, Peter R. Massopust   +2 more
openaire   +2 more sources

FRACTAL INTERPOLANTS ON THE s-SETS

Fractals, 2010
In this paper, we mainly study the s-sets (regular 1-sets), which is the most important fractal in the study of fractal geometry. The regular 1-sets are subsets of countable collection of rectifiable curves. Also we define new real maps on the s-sets by using the methodology based on fractal interpolation functions.
Paramanathan, P., Uthayakumar, R.
openaire   +1 more source

Linear fractal shape interpolation

1997
Proceedings of the Graphics Interface 1997 Conference, Kelowna, British Columbia, Canada, 21 - 23 May 1997, 155 ...
Brandon Burch, John Hart
openaire   +2 more sources

Estimating fractal dimension with fractal interpolation function models

IEEE Transactions on Medical Imaging, 1997
Fractal dimension (fd) is a feature which is widely used to characterize medical images. Previously, researchers have shown that fd separates important classes of images and provides distinctive information about texture. We analyze limitations of two principal methods of estimating fd: box-counting (BC) and power spectrum (PS).
Alan I. Penn, Murray H. Loew
openaire   +2 more sources

Curve Fitting by Fractal Interpolation

2008
Fractal interpolation provides an efficient way to describe data that have an irregular or self-similar structure. Fractal interpolation literature focuses mainly on functions, i.e. on data points linearly ordered with respect to their abscissa. In practice, however, it is often useful to model curves as well as functions using fractal intepolation ...
Polychronis Manousopoulos, Vasileios Drakopoulos, Theoharis Theoharis   +2 more
openaire   +1 more source

Interpolative operators: Fractal to multivalued fractal

Chaos, Solitons & Fractals, 2022
Prithvi, B. V., Katiyar, S. K.
openaire   +1 more source

Interpolating and orthogonal polynomials on fractals

Constructive Approximation, 1989
A set \(F\subset {\mathbb{R}}^ n\) is said to preserve Markov's inequality if for every \(k\in {\mathbb{N}}\) there is a constant c(n,k,F) such that, for all polynomials P of degree \(\leq k\) and all balls \(B(x_ 0,r)\) with \(x_ 0\in F\) and ...
openaire   +2 more sources

FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS

Bulletin of the Australian Mathematical Society, 2015
In this paper, we present a general framework to construct fractal interpolation surfaces (FISs) on rectangular grids. Then we introduce bilinear FISs, which can be defined without any restriction on interpolation points and vertical scaling factors.
Ruan, Huo-Jun, Xu, Qiang
openaire   +1 more source

On the Integral Transform of Fractal Interpolation Functions

Mathematics and Computers in Simulation
Arulprakash Gowrisankar, Nur Aisyah Abdul Fataf, Agathiyan A   +2 more
exaly   +4 more sources