Notes concerning “Interval and affine arithmetic”
An algebraic approach to 3D geometry
2014-06-03 (updated 2014-06-29) (22 minutes)
Modeling trees with slices containing metaballs
2014-06-29 (updated 2014-07-02) (6 minutes)
Rendering iterated function systems (IFSes) with interval arithmetic
2014-09-02 (6 minutes)
More thoughts on powerful primitives for simplified computer systems architecture
2015-08-18 (updated 2015-11-02) (165 minutes)
Bayesian and Gricean programming
2015-08-20 (3 minutes)
Convolution with intervals
2015-09-07 (1 minute)
Interactive calculator 0
2015-09-17 (2 minutes)
Interval filters
2015-09-17 (2 minutes)
Simplifying computing systems by having fewer kinds of graphics
2015-10-13 (10 minutes)
Interval radiosity
2016-07-27 (1 minute)
Affine arithmetic has quadratic convergence when interval arithmetic has linear convergence
2016-08-24 (updated 2017-01-18) (10 minutes)
Topics to study in 2016
2016-10-27 (updated 2016-11-15) (37 minutes)
Reduced affine arithmetic raytracer
2017-05-10 (1 minute)
High-precision control of low-stiffness sytems with bounded-Q resonances
2017-05-29 (updated 2017-06-01) (4 minutes)
Ideas to explore
2017-05-29 (updated 2019-09-15) (3 minutes)
Affine arithmetic optimization
2017-07-19 (updated 2019-09-15) (3 minutes)
Solving initial-value problems faster and with guaranteed error bounds with affine arithmetic
2019-04-02 (5 minutes)
Relational modeling and APL
2019-05-20 (updated 2019-05-21) (5 minutes)
Reducing the cost of self-verifying arithmetic with array operations
2019-06-23 (15 minutes)
Separating implementation, optimization, and proofs
2019-06-26 (updated 2019-07-22) (41 minutes)
Query evaluation with interval-annotated trees over sequences
2019-08-30 (updated 2019-09-03) (30 minutes)
Fast mathematical optimization with affine arithmetic
2019-09-15 (5 minutes)
An affine-arithmetic database index for rapid historical securities formula queries
2019-09-15 (15 minutes)
Interval raymarching
2019-11-02 (updated 2019-11-10) (6 minutes)