Transform3D Showcase

Showcases the power of the Transform3D API with chainable operations, relative positioning, and smooth matrix-based interpolation using quaternion SLERP.

Overview

The Transform3D class provides a mathematically correct way to compose 3D transformations using matrix operations and quaternions. This eliminates common issues like gimbal lock and provides smooth, natural interpolation paths.

Key Features

Chainable API

Build complex transformations step-by-step:

const transform = Transform3D.identity()
  .translate(x, y, z)
  .rotateZ(Math.PI / 8)
  .scaleBy(1.5, 1.5, 1.5);

Relative Positioning

Create hierarchical transforms with proper composition:

// Satellites orbit around parent
const orbit = Transform3D.identity()
  .translate(x, y, z)
  .rotateY(angle);

// Apply to CSS
element.style.transform = orbit.toCSSMatrix3D();

Smooth Interpolation

Matrix-based interpolation with quaternion SLERP prevents gimbal lock:

const interpolated = interpolateTransform(
  from,
  to,
  progress,
  easing
);

Benefits:

• ✓ Natural rotation paths
• ✓ No gimbal lock artifacts
• ✓ Single matrix operation
• ✓ Proper transform composition

Transform Composition

Combine transforms hierarchically:

// Combine parent and child
const worldTransform = parent.multiply(child);

// Apply to points
const worldPos = transform.apply(localPos);

// Invert transform
const inverse = transform.inverse();

Reference

• Transform3D - Matrix-based transform class
• Scene3D - 3D scene with camera system
• Element3D - 3D positioned elements