Carlos Patricio Valenzuela Astaburuaga

New Algebraic Modeling of Autonomous Fractal Trees in D-Dimensional Spaces and Their Optical Rendering via Cascaded Perspective Projection.

This paper introduces a unified algebraic framework for the generation and visualization of complex binary, ternary, and quaternary fractal branching structures embedded in arbitrary D-dimensional Euclidean spaces (R^D). While traditional fractal tree algorithms rely on discrete...

New Algebraic Modeling of Autonomous Fractal Trees in D-Dimensional Spaces and Their Optical Rendering via Cascaded Perspective Projection.

This paper introduces a unified algebraic framework for the generation and visualization of complex binary, ternary, and quaternary fractal branching structures embedded in arbitrary D-dimensional Euclidean spaces (R^D). While traditional fractal tree algorithms rely on discrete...

Stochastic Morphogenetic Extensions of Autonomous Fractal Trees in D-Dimensional Spaces and Their Optical Rendering via Cascaded Perspective Projection with Lipschitzian Culling Stabilization

Traditional algorithmic frameworks for morphological synthesis, such as discrete L-systems, frequently induce structural dissociation under stochastic perturbation regimes due to the absence of geometric inheritance across ancestral lineages. This paper employs a novel algebraic...

Stochastic Morphogenetic Extensions of Autonomous Fractal Trees in D-Dimensional Spaces and Their Optical Rendering via Cascaded Perspective Projection with Lipschitzian Culling Stabilization

Traditional algorithmic frameworks for morphological synthesis, such as discrete L-systems, frequently induce structural dissociation under stochastic perturbation regimes due to the absence of geometric inheritance across ancestral lineages. This paper employs a novel algebraic...