A deep dive into using Lipschitz continuity and gradient bounds as an alternative to interval arithmetic for implicit surface rendering. The author explores how single-point evaluation on Lipschitz-continuous distance fields can produce 'pseudo-intervals' that replicate the pruning and simplification benefits of interval

12m read timeFrom mattkeeter.com
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Table of contents
Basic renderingUsing gradients insteadDownsides to interval evaluationNormalizationNormalization, once moreExpression simplificationPerformance impactsWrapping up

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