Apple iPhone Multi-Touch Heuristics
US 7,479,949Mutual Capacitance Matrix Shunts, Pinch-to-Zoom & Real-Time Affine Transformations
How It Works: Step-by-Step Mechanical & Physical Breakdown
Scans a grid of mutual capacitance sensors to locate concurrent contact centroids, computes the changing Euclidean vector between them, and maps it directly to a 2D affine scaling and rotation matrix.
Interactive Real-Time Physical Simulation
Detailed Component Architecture
1Mutual Capacitance Matrix
Human fingers introduce stray capacitance to ground, reducing mutual capacitance by ~0.5 pF at row/column intersections without ghosting.
2Gesture Heuristic Engine
Computes delta distance D(t)/D(0) for affine zoom and angular change theta(t) for rotation, applying velocity dampening.
Governing Equations & Engineering Principles
Pinch-to-Zoom Dynamic Euclidean Affine Scaling Factor
Human-Computer Interaction & Touch Screen HeuristicsClaim 1Affine Magnification Scale Factor
Continuous updates at 60 Hz produce smooth, direct-manipulation zooming of web pages, photos, and maps.
By eliminating modal zoom buttons and replacing them with continuous direct-finger affine scaling, multi-touch made interaction feel physical and elastic.
Historical Context: Defined the smartphone user interface revolution that established the iPhone and modern mobile computing.
Why It Still Matters
Pinch-to-zoom became the universal touch gesture across all smartphones, tablets, trackpads, and interactive displays worldwide.
Legal Claims Decoder (1 Numbered Claims)
The Historical Bottleneck
Why Prior Art Failed
- •Resistive single-touch screens could only register one point
- •Stylus required two hands
- •Zooming web pages required tapping separate +/- magnifying glass icons