Box-Counting Dimension Using Triangles
Tazeen Athar, Nayab Khalid, Shams Ul Islam

TL;DR
This paper introduces a new method for calculating the box-counting dimension using triangles, improving accuracy for fractals with rotation like the Bradley Spiral, and compares it with traditional methods.
Contribution
It proposes an alternative definition of the box-counting dimension that better captures the complexity of rotated fractals and provides a comparative analysis with existing methods.
Findings
Enhanced approximation for rotated fractals
Better fit for Bradley Spiral structure
Comparative analysis shows improved accuracy
Abstract
An alternate definition of the box-counting dimension is proposed, to provide a better approximation for fractals involving rotation such as the 'Bradley Spiral' structure. A curve fitting comparison of this definition with the box-counting dimension is also presented.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsDigital Image Processing Techniques · Advanced Numerical Analysis Techniques · Computational Geometry and Mesh Generation
