Simulating brush strokes for painting application

There's a large literature on Non-Photorealist Rendering. The main books are "Non-Photorealistic Computer Graphics" by Strothotte & Schlechtweg and "Non-photorealistic Rendering" by Gooch & Gooch. They discuss brush strokes. There are several of papers that deal with simulated brush strokes. See for instance "Simulating Artistic Brushstrokes Using Interval Splines".

Here's a classic from 1989 - Dynadraw, by Paul Haeberli. It uses a simple dynamical model to fill in a smooth the raw mouse positions.

While the strokes are drawn incrementally as polygons, you should be able to use the points generated by the dynamic filter to place copies of your brush texture.