Curve approximation involves finding a simpler or more convenient representation of a complex curve, often to facilitate analysis or computation. This process is essential in fields like computer graphics, numerical analysis, and data fitting, where exact representations are either impossible or impractical.

Curve Approximation

Simpler representation

Convenient representation

Complex curve

Facilitate analysis

Facilitate computation

Computer graphics is the field of computer science that focuses on generating and manipulating visual content using computational techniques. It encompasses a range of applications from video games and simulations to user interface design and virtual reality, relying on both hardware and software to render and display images efficiently.

Computer Graphics

Numerical analysis is a branch of mathematics that focuses on the development and implementation of algorithms to obtain numerical solutions to mathematical problems that are often too complex for analytical solutions. It is essential in scientific computing, enabling the approximation of solutions for differential equations, optimization problems, and other mathematical models across various fields.

Numerical Analysis

Data fitting is the process of constructing a mathematical function that best describes the relationship between a set of observed data points. It is crucial for making predictions and understanding underlying patterns in data across various scientific and engineering disciplines.

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