相关实验视频
Updated: Jul 12, 2025
09:55
Three-Dimensional Imaging of Aortic Tissues in Atherosclerosis
Published on: October 25, 2024
946
使用从一类萨卡古奇类型函数中获得的系数来增强各种图像
1Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai, 600 127, India.
Scientific reports
|November 1, 2023
概括
本研究介绍了一种新的数字图像处理算法,用于图像增强. 该算法基于Mittag-Leffler类型的Poisson分布,可以改善各种应用的图像质量.
科学领域:
- 数字图像处理是数字图像处理.
- 计算机视觉 计算机视觉 计算机视觉
- 信号处理 信号处理
背景情况:
- 数字图像处理对于机器人,工业检查,遥感和医学成像等应用至关重要.
- 图像增强技术旨在通过调整亮度和对比度等参数来提高图像质量.
- 现有的方法可能并不总是为各种图像格式和尺寸提供最佳结果.
研究的目的:
- 提出和评估数字图像增强的新算法.
- 通过使用定量指标来评估算法的有效性.
- 为了证明算法在各种图像数据集和格式中的适用性.
主要方法:
- 拟议的算法利用从Mittag-Leffler类型的Poisson分布获得的特定子类的系数边界的卷积.
- 算法的性能在三个不同尺寸和格式 (PNG,JPEG,TIFF) 的图像数据集上进行了评估.
- 使用了标准的图像质量指标,包括峰值信号与噪声比 (PSNR),结构相似度指标 (SSIM),平均平方误差 (MSE),根平均平方误差 (RMSE),皮尔森相关系数 (PCC) 和平均绝对误差 (MAE).
主要成果:
- 该算法展示了其有效增强图像的能力.
- 使用PSNR,SSIM,MSE,RMSE,PCC和MAE进行的定量分析表明图像质量有所改善.
- 算法的性能在不同的图像尺寸和格式中是一致的.
结论:
- 开发的算法为数字图像增强提供了一个有前途的方法.
- 该方法提供了可量化的图像质量改进,适合各种应用.
- 进一步的研究可以探索这种Mittag-Leffler类型的基于Poisson分布的方法的扩展和优化.
相关概念视频
01:24Convolution: Math, Graphics, and Discrete Signals
268
In any LTI (Linear Time-Invariant) system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero. The convolution integral can be divided into two parts: the zero-input or natural response and the zero-state or forced response, with t0 indicating the initial time.
To simplify the convolution integral, it is assumed that both the input signal and impulse response are zero for negative time values. The graphical convolution process...
To simplify the convolution integral, it is assumed that both the input signal and impulse response are zero for negative time values. The graphical convolution process...
268
01:17Convolution Properties II
210
The important convolution properties include width, area, differentiation, and integration properties.
The width property indicates that if the durations of input signals are T1 and T2, then the width of the output response equals the sum of both durations, irrespective of the shapes of the two functions. For instance, convolving two rectangular pulses with durations of 2 seconds and 1 second results in a function with a width of 3 seconds.
The area property asserts that the area under the...
The width property indicates that if the durations of input signals are T1 and T2, then the width of the output response equals the sum of both durations, irrespective of the shapes of the two functions. For instance, convolving two rectangular pulses with durations of 2 seconds and 1 second results in a function with a width of 3 seconds.
The area property asserts that the area under the...
210
01:10Reconstruction of Signal using Interpolation
209
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
209
01:21Properties of Fourier series II
161
Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
A function f(t) is...
A function f(t) is...
161
01:20Convolution Properties I
155
Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse response of an LTI (Linear Time-Invariant) system can be interchanged without affecting the output:
The commutative property reveals that the input and the impulse response of an LTI (Linear Time-Invariant) system can be interchanged without affecting the output:
155
01:24Area Computation by the Alternative Coordinate Method
61
The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
61