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Principle:Google deepmind Mujoco Ray Casting

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Google DeepMind MuJoCo Physics Simulation, Geometry 2025-02-15

Overview

Description: Ray intersection testing against scene geometry for distance sensing and collision queries.

Context: MuJoCo provides ray casting functionality used by rangefinder sensors, user-defined ray queries, and other subsystems that need to determine the closest intersection point between a ray and the scene geometry.

Theoretical Basis

Ray casting computes the intersection of a parametric ray (origin + t * direction) with geometric primitives such as spheres, capsules, boxes, cylinders, planes, meshes, and height fields. For each primitive type, closed-form or iterative intersection algorithms are used. The closest intersection (smallest positive t) is returned along with the intersected geom ID. Combined with BVH acceleration, this enables efficient distance queries even in geometrically complex environments.

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