Object distance estimation algorithm for real-time FPGA-based stereoscopic vision system

Strotov, Valery V.; Smirnov, Sergey; Korepanov, Simon E.; Cherpalkin, Alexey V.

doi:10.1117/12.2324851

Cited by 2 publications

(1 citation statement)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Authors have utilized a variety of methods to create fractals in the literature. Distance estimator [35], escape criterion [36], and potential function algorithms [37,38] are some common fractal visualization techniques. In this section, we use the escape criterion technique to construct J. sets.…”

Section: Visualization Of J Setsmentioning

confidence: 99%

Generating Geometric Patterns Using Complex Polynomials and Iterative Schemes

Tassaddiq,

Kalsoom,

Rashid

et al. 2024

Axioms

View full text Add to dashboard Cite

Iterative procedures have been proved as a milestone in the generation of fractals. This paper presents a novel approach for generating and visualizing fractals, specifically Mandelbrot and Julia sets, by utilizing complex polynomials of the form QC(p)=apn+mp+c, where n≥2. It establishes escape criteria that play a vital role in generating these sets and provides escape time results using different iterative schemes. In addition, the study includes the visualization of graphical images of Julia and Mandelbrot sets, revealing distinct patterns. Furthermore, the study also explores the impact of parameters on the deviation of dynamics, color, and appearance of fractals.

show abstract

Section: Visualization Of J Setsmentioning

confidence: 99%

Generating Geometric Patterns Using Complex Polynomials and Iterative Schemes

Tassaddiq,

Kalsoom,

Rashid

et al. 2024

Axioms

View full text Add to dashboard Cite

show abstract

Variants of Mandelbrot and Julia fractals for higher‐order complex polynomials

Tomar¹,

Prajapati

Antal

et al. 2022

Math Methods in App Sciences

View full text Add to dashboard Cite

We establish some escape criteria via Jungck–Mann fixed point iteration system with ‐convexity for complex‐valued polynomials of higher orders. As a result, we point out errors in the corresponding existing criterion and develop a correct technique to obtain the escape criterion for analogous fixed point iterations equipped with ‐convexity. Further, we derive a novel escape radius for visualizing the alluring fractals. Toward the end, we utilize our conclusions to generate some variants of classical Mandelbrot and Julia sets. We observe that the visualized fractals are similar to beautiful objects found in nature and each point in Mandelbrot set includes a massive image data of a Julia set. Some examples are also provided to demonstrate the variation in images and discuss the impact of parameters on the deviation of color and appearance of fractals.

show abstract

Object distance estimation algorithm for real-time FPGA-based stereoscopic vision system

Cited by 2 publications

References 3 publications

Generating Geometric Patterns Using Complex Polynomials and Iterative Schemes

Generating Geometric Patterns Using Complex Polynomials and Iterative Schemes

Variants of Mandelbrot and Julia fractals for higher‐order complex polynomials

Contact Info

Product

Resources

About