Raph levien thesis

In real life, roads and railroad tracks use circular arcs , not Bezier curves. However arcs are not G 2 continuous. This means you have to abruptly shift your steering wheel when transitioning from a straight segment to a curved segment. To solve this, they use clothoid connectors . (Clothoids are also called “ Euler spirals ” or “Cornu spirals”.) However, clothoids have complicated distances/interpolations and unlikely to have clean offset curves. They might be useful in racing games but I wouldn’t use them in a city-building game. (See the next section for some references.)

Raph levien thesis

raph levien thesis

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