point: Coordinate Point Visualization

Spatial Position Marking with Numerical Labels and Transformation Support

The point function renders coordinate positions as visual markers with integrated numerical labeling. This enables precise spatial data visualization and transformation debugging through combined geometric and textual display.

Mathematical Visualization

Point rendering combines circular geometry with coordinate labeling: $Point(x, y) \rightarrow Circle_{visual} + Label_{numerical}$ where position coordinates are displayed both spatially and numerically for precise debugging.

Function Variants

Function	Parameters	Coordinate Space	Label Content
point(st, pos)	position only	2D screen space	Position values
pointWithColor(st, pos, color, radius)	styled rendering	2D screen space	Position values
pointTransformed(st, M, pos, color, radius)	3D projection	Transformed space	Original 3D position

Transformation Pipeline

3D-to-2D projection follows standard graphics pipeline: $P_{screen} = \frac{(M \cdot P_{3D})_{xy}}{(M \cdot P_{3D})_w} \cdot 0.5 + 0.5$ where $M$ is the transformation matrix and $P_{3D}$ is the world-space position.

Visual Components

Each point combines multiple rendering elements:

• Circular marker: Visual position indicator with customizable radius
• Coordinate label: Numerical display of position values
• Background overlay: Semi-transparent bounding box for text readability

Live Editor

const fragment = () => {
      const angle = iTime
      const x = angle.cos()
      const y = angle.sin()
      const offset = vec2(x, y).mul(0.2)
      const pos = offset.add(0.5)
      const marker = pointWithColor(uv, pos, vec3(pos, 0), 0.03)
      return vec4(uv, 0, 1).mix(marker, marker.a)
}