Related Experiment Video
Updated: Jul 7, 2026

11:23
Lensless Fluorescent Microscopy on a Chip
Published on: August 17, 2011
Lossy compression of noisy images
1Sch. of Electr. and Comput. Eng., Georgia Inst. of Technol., Atlanta, GA 30332, USA. osamakl@eecs.berkeley.edu
Summary
This study investigates how noise impacts lossy image compression. Preprocessing images to remove noise before compression significantly improves image quality at lower bit rates.
Area of Science:
- Digital image processing
- Information theory
- Signal processing
Background:
- Noise significantly degrades image compression performance.
- Common noise types include Gaussian, Poisson, and film-grain noise.
- Lossy compression algorithms are sensitive to input data quality.
Purpose of the Study:
- To analyze the impact of various noise types on lossy image compression.
- To develop an optimal compression strategy for noisy images.
- To evaluate the effectiveness of noise preprocessing on compression efficiency.
Main Methods:
- Investigated the effects of Gaussian, Poisson, and film-grain noise on image compression.
- Measured distortion relative to the original image, not the compressed input.
- Derived minimum-mean-square-error (MMSE) estimators and coders for noisy image compression.
- Evaluated preprocessing using standard coders like JPEG.
Main Results:
- Noise adversely affects image compression performance.
- A preprocessing step (MMSE estimator) followed by an MMSE coder optimizes compression for noisy images.
- This approach yields higher image quality at reduced bit rates.
- Standard coders also benefit from noise preprocessing.
Conclusions:
- Noise reduction preprocessing is crucial for effective lossy image compression.
- The proposed MMSE-based approach enhances compression efficiency and output quality.
- This method is applicable to various noise types and standard compression algorithms.
Related Concept Videos
Lossy Lines and Overvoltages
Transmission-line series resistance and shunt conductance cause three primary effects: attenuation, distortion, and power losses.
Attenuation
When constant series resistance and shunt conductance are present, voltage and current equations are modified. The propagation constant indicates that voltage and current waves consist of both forward and backward traveling components. These waves attenuate as they propagate, with the attenuation factor related to the resistance and conductance. In a...
Attenuation
When constant series resistance and shunt conductance are present, voltage and current equations are modified. The propagation constant indicates that voltage and current waves consist of both forward and backward traveling components. These waves attenuate as they propagate, with the attenuation factor related to the resistance and conductance. In a...
Reducing Line Loss
In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss in...
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss in...
Downsampling
When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
Lossless Lines
In electrical engineering, a lossless transmission line is characterized by a purely imaginary propagation constant and a resistive characteristic impedance. The ABCD parameters, which describe the relationship between the input and output voltages and currents, indicate an equivalent π circuit with an imaginary series impedance and a shunt admittance. This results in a transmission line that, when the product of the phase constant (beta) and the length of the line is less than pi, exhibits...
Boundary Conditions: Lossless Lines
Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
Upsampling
Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...