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Related Concept Videos

Design Example01:23

Design Example

The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...
Curve Sketching and Derivatives01:22

Curve Sketching and Derivatives

Understanding the behavior of a function through its first and second derivatives is essential for analyzing its graph. Derivatives provide insight into where a function increases or decreases, where it attains local maxima or minima, and how its curvature behaves across different intervals.The first derivative of a function reveals the slope of the tangent line at any given point. Points where the derivative is zero or undefined are considered critical, as they often indicate potential extrema...
Curve Equations01:17

Curve Equations

Curves are essential geometric elements characterized by tangent distance, chord length, middle ordinate, and total arc length. These measurements are crucial in understanding a curve's geometric and spatial properties and are defined by the relationship between its radius and its central angle.The tangent distance (T) refers to the straight-line measurement from the intersection point of two tangents to either the start or end of the curve. This distance is influenced by the curve's radius (R)...
Guidelines for Sketching a Curve01:23

Guidelines for Sketching a Curve

Curve sketching is a systematic method for understanding the overall behavior of a function by analyzing its key mathematical features. A function defines a curve on the coordinate plane, where the horizontal axis represents the input variable and the vertical axis represents the output. The process begins by determining the domain, which specifies the set of input values for which the function is defined and establishes the horizontal extent of the graph.Intercepts with the horizontal and...
Introduction to Horizontal Curves01:19

Introduction to Horizontal Curves

Horizontal curves are essential in highway and railroad design, ensuring smooth and safe transitions between straight path segments, or tangents. These curves allow vehicles to maintain speed without abrupt changes, minimizing accidents and improving travel efficiency.A horizontal curve is typically defined by its geometric relationship to two tangents that meet at an intersection point (P.I.), where a simple curve is introduced to connect them. The back tangent refers to the initial tangent...
Tangent to a Curve01:30

Tangent to a Curve

The graph of a function where each output is the square of the input creates a smooth curve that bends upward, becoming steeper as one moves further from the center. At any chosen position along this curve, the curve reaches a certain height depending on the input value. This position can be a reference for analyzing how the curve behaves in its immediate vicinity.To understand the change in the curve near a particular position, imagine selecting another point slightly ahead along the curve.

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Related Experiment Video

Updated: May 22, 2026

A Simple Stimulatory Device for Evoking Point-like Tactile Stimuli: A Searchlight for LFP to Spike Transitions
07:34

A Simple Stimulatory Device for Evoking Point-like Tactile Stimuli: A Searchlight for LFP to Spike Transitions

Published on: March 25, 2014

Simple tone curves: theory and applications.

James Bennett1, Graham Finlayson1

  • 1School of Computing Sciences, University of East Anglia, Norwich, NR4 7TJ UK.

The Visual Computer
|May 21, 2026
PubMed
Summary
This summary is machine-generated.

Simple tone curves, with one or no inflection points, provide image enhancement comparable to complex curves. Photographic experts and objective metrics show simple curves are equally effective and slightly preferred for image quality.

Keywords:
Image enhancementPsychophysical experimentQuadratic programmingTone curvesTone mapping

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Published on: March 25, 2014

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Published on: April 4, 2017

Area of Science:

  • Computer Vision
  • Image Processing
  • Computational Photography

Background:

  • Tone curves are fundamental for image enhancement, adjusting pixel brightness.
  • Existing tone curves lack strict shape constraints, often being complex with multiple inflection points.
  • Algorithmic and user-defined tone curves are widely used in digital imaging.

Purpose of the Study:

  • To define and investigate 'simple' tone curves with limited inflection points (0 or 1).
  • To demonstrate methods for approximating complex tone curves with simple counterparts.
  • To evaluate the image enhancement effectiveness of simple versus complex tone curves.

Main Methods:

  • Defined simple tone curves based on the number of inflection points (0 or 1).
  • Developed methods to approximate complex, multi-inflection point tone curves using simple ones.
  • Utilized the MIT-Adobe FiveK dataset and an underwater image dataset for analysis.

Main Results:

  • Simple tone curves achieved image enhancement results comparable to complex curves using objective metrics.
  • Preference experiments indicated a slight preference for images enhanced with simple tone curves.
  • The findings were consistent across both the large-scale FiveK dataset and the smaller underwater dataset.

Conclusions:

  • Constraining tone curves to be simple (0-1 inflection points) does not compromise image enhancement quality.
  • Simple tone curves offer an effective and potentially more efficient alternative to complex curves in image processing.
  • This research suggests a simplification in tone curve design without sacrificing visual quality or user preference.