MATLAB Curve Interactivity: Zoom, Pan, Rotate, and Deep Data Exploration

# 1. Overview of MATLAB Curve Interactivity

The curve interactivity feature in MATLAB allows users to dynamically manipulate and explore curves in plots. With zooming, panning, and rotating, users can observe data from different angles, revealing hidden patterns and trends. These interactive operations are crucial for data analysis, visualization, and reporting.

Curve interactivity is achieved through the use of MATLAB's graphical user interface (GUI) or programming interface (API). The GUI provides an interactive environment where users can directly manipulate curves using a mouse and keyboard. The API allows users to automate the interactive process by writing scripts or functions.

# 2. Curve Zooming and Panning

### 2.1 Zooming Operations

Zooming operations enable users to adjust the size of curves, thereby enlarging or reducing their display. MATLAB offers two zoom operations: zoom in and zoom out.

#### 2.1.1 Zooming in on Curves

Zooming in on a curve allows for a detailed examination of a specific area. The syntax for zooming in on a curve in MATLAB is as follows:

zoom(factor)

Here, `factor` specifies the magnification factor. A `factor` greater than 1 enlarges the curve, while a `factor` less than 1 reduces the curve size.

**Code Logic Analysis:**

* The `zoom` function takes one parameter, `factor`, which specifies the magnification factor.
* If `factor` is greater than 1, the curve is enlarged.
* If `factor` is less than 1, the curve is reduced in size.

**Parameter Description:**

* `factor`: The magnification factor, greater than 1 for enlargement, less than 1 for reduction.

#### 2.1.2 Zooming out of Curves

Zooming out of a curve allows for a view of the overall trend or comparison between multiple curves. The syntax for zooming out of a curve in MATLAB is as follows:

zoom(factor)

Here, `factor` specifies the reduction factor. A `factor` less than 1 reduces the curve size, while a `factor` greater than 1 enlarges the curve.

**Code Logic Analysis:**

* The `zoom` function takes one parameter, `factor`, which specifies the reduction factor.
* If `factor` is less than 1, the curve is reduced in size.
* If `factor` is greater than 1, the curve is enlarged.

**Parameter Description:**

* `factor`: The reduction factor, less than 1 for reduction, greater than 1 for enlargement.

### 2.2 Panning Operations

Panning operations allow users to move the position of curves within the coordinate system, adjusting their display. MATLAB offers two panning operations: horizontal panning and vertical panning.

#### 2.2.1 Horizontal Panning

Horizontal panning moves the curve along the x-axis. The syntax for horizontal panning of a curve in MATLAB is as follows:

pan(x_offset)

Here, `x_offset` specifies the distance of horizontal panning. Positive values pan right, and negative values pan left.

**Code Logic Analysis:**

* The `pan` function takes one parameter, `x_offset`, which specifies the distance of horizontal panning.
* If `x_offset` is positive, the curve pans to the right.
* If `x_offset` is negative, the curve pans to the left.

**Parameter Description:**

* `x_offset`: The distance of horizontal panning, positive to the right, negative to the left.

#### 2.2.2 Vertical Panning

Vertical panning moves the curve along the y-axis. The syntax for vertical panning of a curve in MATLAB is as follows:

pan(y_offset)

Here, `y_offset` specifies the distance of vertical panning. Positive values pan up, and negative values pan down.

**Code Logic Analysis:**

* The `pan` function takes one parameter, `y_offset`, which specifies the distance of vertical panning.
* If `y_offset` is positive, the curve pans upward.
* If `y_offset` is negative, the curve pans downward.

**Parameter Description:**

* `y_offset`: The distance of vertical panning, positive upward, negative downward.

# 3.1 Rotation Operations

#### 3.1.1 Clockwise Rotation

rotate(h, angle, [x, y])

**Parameter Description:**

- `h`: Graphics handle
- `angle`: Rotation angle (in degrees)
- `[x, y]`: Rotation center coordinates (optional)

**Code Logic:**

1. The `rotate` function