RoundRectShape

RoundRectShape is a geometric shape commonly used in computer graphics and user interface design. It represents a rectangle with rounded corners. The shape is defined by its width, height, and the radius of the curvature at each corner.

The rounded corners are typically formed by quarter-circles. The radius of these quarter-circles determines how rounded the corners appear. A smaller radius results in corners that are only slightly curved, while a larger radius creates more pronounced rounding. If the corner radius is equal to half of the shorter dimension of the rectangle, the shape becomes a circle or an ellipse, depending on the aspect ratio of the original rectangle.

RoundRectShape is often used to create buttons, input fields, dialog boxes, and other visual elements in software applications to provide a softer, more aesthetically pleasing appearance compared to sharp-cornered rectangles. It can also be employed in vector graphics and animation.

The mathematical definition of a round rect can be described by its bounding box and a corner radius parameter. Algorithms exist to efficiently render this shape, often involving arcs or Bezier curves for the rounded portions and straight lines for the sides. Its versatility makes it a fundamental building block in many graphical systems.