A Possible Resolution of the Aforementioned and some Additional Philosophical Problems My previous post introduced a variety of philosophical premises for understanding consciousness and its formation from matter, the birth of morality, and the overall context we find ourselves in. Since the complexity of life…
Every consciousness wants to maximize its chances of survival (passing on their information content). Hence, it uses a variety of tools to map its surroundings and formulate predictive models to minimize surprise.
10 Tips on Combatting Resistance I understand that compared to my previous, highly technical, posts, this will be a more general self-help type of article applicable beyond my domain of software development. I am no self-help guru, nor do I claim to be perfect at…
Determining whether a point in space is inside/outside of a given shape depends entirely on the shape’s topological properties. Shapes with holes and/or self-intersections do not have a mathematically guaranteed interior and exterior (by Jordan’s curve theorem). However, with sufficiently fine voxel outline of a…
The distance function is a solution to a type of Eikonal equation. The fastest O(n) method for numerically solving Eikonal equations was introduced by H. Zhao in his 2005 paper called the Fast Sweeping Method.
The advantage of octrees is that they can subdivide the surrounding space into self-similar cells. Starting with a bounding cube we can then produce cells that can be thought of as a subset of a regular grid.
When a sampling point is located near some part of a mesh, it is utterly useless to compute distances to triangles that are “on the other side” of the mesh. One might think that the concept of “closeness” to some triangles of the mesh is…